Search a number
-
+
211212102201012 = 2232116711467694223
BaseRepresentation
bin110000000001100010100110…
…010100101110111010110100
31000200211200100112222221011100
4300001202212110232322310
5210140444341130413022
62025113300015210100
762326366534462053
oct6001424624567264
91020750315887140
10211212102201012
116133160544a180
121b8323a1816930
1390b12a609b193
143a22a126a039a
1519641a13ca1ac
hexc018a652eeb4

211212102201012 has 144 divisors (see below), whose sum is σ = 591178809940992. Its totient is φ = 63042799659840.

The previous prime is 211212102200987. The next prime is 211212102201017. The reversal of 211212102201012 is 210102201212112.

211212102201012 is a `hidden beast` number, since 211 + 2 + 1 + 210 + 220 + 10 + 12 = 666.

It is a super-2 number, since 2×2112121022010122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212102201017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303895333 + ... + 304589555.

It is an arithmetic number, because the mean of its divisors is an integer number (4105408402368).

Almost surely, 2211212102201012 is an apocalyptic number.

211212102201012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211212102201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295589404970496).

211212102201012 is an abundant number, since it is smaller than the sum of its proper divisors (379966707739980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211212102201012 is a wasteful number, since it uses less digits than its factorization.

211212102201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705778 (or 705773 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211212102201012 its reverse (210102201212112), we get a palindrome (421314303413124).

The spelling of 211212102201012 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred two million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 603 737 804 1206 1474 2211 2412 2948 4422 6633 8844 11467 13266 22934 26532 34401 45868 68802 103203 126137 137604 206406 252274 378411 412812 504548 694223 756822 768289 1135233 1388446 1513644 1536578 2082669 2270466 2304867 2776892 3073156 4165338 4540932 4609734 6248007 6914601 7636453 8330676 8451179 9219468 12496014 13829202 15272906 16902358 22909359 24992028 25353537 27658404 30545812 33804716 45818718 46512941 50707074 68728077 76060611 91637436 93025882 101414148 137456154 139538823 152121222 186051764 274912308 279077646 304242444 418616469 511642351 558155292 837232938 1023284702 1534927053 1674465876 2046569404 3069854106 4604781159 6139708212 7960655141 9209562318 15921310282 18419124636 23881965423 31842620564 47763930846 71645896269 87567206551 95527861692 143291792538 175134413102 262701619653 286583585076 350268826204 525403239306 533363894447 788104858959 1050806478612 1066727788894 1576209717918 1600091683341 2133455577788 3152419435836 3200183366682 4800275050023 5867002838917 6400366733364 9600550100046 11734005677834 17601008516751 19201100200092 23468011355668 35202017033502 52803025550253 70404034067004 105606051100506 211212102201012