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100122012002012 = 227211134187127169
BaseRepresentation
bin10110110000111101111000…
…111101011010011011011100
3111010111120102011102102200012
4112300331320331122123130
5101110344340033031022
6552535230051222352
730042401536064600
oct2660757075323334
9433446364372605
10100122012002012
11299a1563666180
12b2903972a79b8
1343b360811a540
141aa1d07459500
15b8960b208de2
hex5b0f78f5a6dc

100122012002012 has 144 divisors (see below), whose sum is σ = 245292955296480. Its totient is φ = 35129674137600.

The previous prime is 100122012001943. The next prime is 100122012002029. The reversal of 100122012002012 is 210200210221001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42414437 + ... + 44712732.

It is an arithmetic number, because the mean of its divisors is an integer number (1703423300670).

Almost surely, 2100122012002012 is an apocalyptic number.

It is an amenable number.

100122012002012 is an abundant number, since it is smaller than the sum of its proper divisors (145170943294468).

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

100122012002012 is a wasteful number, since it uses less digits than its factorization.

100122012002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87127252 (or 87127243 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100122012002012 its reverse (210200210221001), we get a palindrome (310322222223013).

The spelling of 100122012002012 in words is "one hundred trillion, one hundred twenty-two billion, twelve million, two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 41 44 49 52 77 82 91 98 143 154 164 182 196 286 287 308 364 451 533 539 572 574 637 902 1001 1066 1078 1148 1274 1804 2002 2009 2132 2156 2548 3157 3731 4004 4018 5863 6314 7007 7462 8036 11726 12628 14014 14924 22099 23452 26117 28028 41041 44198 52234 82082 88396 104468 164164 287287 574574 1149148 87127169 174254338 348508676 609890183 958398859 1132653197 1219780366 1916797718 2265306394 2439560732 3572213929 3833595436 4269231281 4530612788 6708792013 7144427858 7928572379 8538462562 12459185167 13417584026 14288855716 15857144758 17076925124 24918370334 25005497503 26835168052 31714289516 39294353219 46438781077 46961544091 49836740668 50010995006 55500006653 78588706438 87214296169 92877562154 93923088182 100021990012 111000013306 157177412876 174428592338 175038482521 185755124308 187846176364 222000026612 275060472533 325071467539 348857184676 350076965042 510826591847 550120945066 610500073183 650142935078 700153930084 1021653183694 1100241890132 1221000146366 1300285870156 1925423307731 2043306367388 2275500272773 2442000292732 3575786142929 3850846615462 4551000545546 7151572285858 7701693230924 9102001091092 14303144571716 25030503000503 50061006001006 100122012002012