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2212122210102 = 234773137195053
BaseRepresentation
bin100000001100001100110…
…000100010111100110110
321211110212121012121120000
4200030030300202330312
5242220411241210402
64412122424052130
7315551310353340
oct40141460427466
97743777177500
102212122210102
11783179354942
122b8883304046
131307aa136c1c
14790d28c2290
153c8207b2c1c
hex2030cc22f36

2212122210102 has 160 divisors (see below), whose sum is σ = 5784452764992. Its totient is φ = 618823535616.

The previous prime is 2212122210091. The next prime is 2212122210203. The reversal of 2212122210102 is 2010122212122.

It is a happy number.

2212122210102 is a `hidden beast` number, since 221 + 212 + 221 + 0 + 10 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11243608 + ... + 11438660.

Almost surely, 22212122210102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212122210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892226382496).

2212122210102 is an abundant number, since it is smaller than the sum of its proper divisors (3572330554890).

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

2212122210102 is a wasteful number, since it uses less digits than its factorization.

2212122210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195284 (or 195275 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212122210102 its reverse (2010122212122), we get a palindrome (4222244422224).

The spelling of 2212122210102 in words is "two trillion, two hundred twelve billion, one hundred twenty-two million, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 81 126 137 146 162 189 219 274 378 411 438 511 567 657 822 959 1022 1134 1233 1314 1533 1918 1971 2466 2877 3066 3699 3942 4599 5754 5913 7398 8631 9198 10001 11097 11826 13797 17262 20002 22194 25893 27594 30003 41391 51786 60006 70007 77679 82782 90009 140014 155358 180018 195053 210021 270027 390106 420042 540054 585159 630063 810081 1170318 1260126 1365371 1620162 1755477 1890189 2730742 3510954 3780378 4096113 5266431 5670567 8192226 10532862 11341134 12288339 14238869 15799293 24576678 26722261 28477738 31598586 36865017 42716607 53444522 73730034 80166783 85433214 99672083 110595051 128149821 160333566 187055827 199344166 221190102 240500349 256299642 299016249 374111654 384449463 481000698 561167481 598032498 721501047 768898926 897048747 1122334962 1153348389 1443002094 1683502443 1794097494 1950725053 2164503141 2306696778 2691146241 3367004886 3901450106 4329006282 5050507329 5382292482 5852175159 8073438723 10101014658 11704350318 13655075371 15151521987 16146877446 17556525477 27310150742 30303043974 35113050954 40965226113 52669576431 81930452226 105339152862 122895678339 158008729293 245791356678 316017458586 368687035017 737374070034 1106061105051 2212122210102