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102222200120001 = 31343674327210257
BaseRepresentation
bin10111001111100001110101…
…111011010010001011000001
3111101221100100212220000020220
4113033201311323102023001
5101344302031212320001
61001224121435253253
730350211261410253
oct2717416573221301
9441840325800226
10102222200120001
112a631212049975
12b56b41bbaa229
134506687148260
141b3581bd37cd3
15bc4079bcec36
hex5cf875ed22c1

102222200120001 has 64 divisors (see below), whose sum is σ = 152471754344448. Its totient is φ = 60511703712768.

The previous prime is 102222200119939. The next prime is 102222200120003. The reversal of 102222200120001 is 100021002222201.

It is not a de Polignac number, because 102222200120001 - 213 = 102222200111809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102222200120003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486072265 + ... + 486282521.

It is an arithmetic number, because the mean of its divisors is an integer number (2382371161632).

Almost surely, 2102222200120001 is an apocalyptic number.

It is an amenable number.

102222200120001 is a deficient number, since it is larger than the sum of its proper divisors (50249554224447).

102222200120001 is a wasteful number, since it uses less digits than its factorization.

102222200120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214710.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102222200120001 its reverse (100021002222201), we get a palindrome (202243202342202).

The spelling of 102222200120001 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred million, one hundred twenty thousand, one".

Divisors: 1 3 13 39 43 67 129 201 559 871 1677 2613 2881 4327 8643 12981 37453 56251 112359 168753 186061 210257 289909 558183 630771 869727 2418793 2733341 3768817 7256379 8200023 9041051 11306451 12466087 14087219 27123153 37398261 42261657 117533663 162059131 183133847 352600989 486177393 549401541 605750417 909782039 1817251251 2729346117 7874755421 11827166507 23624266263 35481499521 39120627677 60955396613 117361883031 182866189839 508568159801 792420155969 1525704479403 2377260467907 2621082054359 7863246163077 34074066706667 102222200120001