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102212221231233 = 3337533675260117
BaseRepresentation
bin10111001111011000100011…
…001000110110000010000001
3111101220101121102211221022000
4113033120203020312002001
5101344121112113344413
61001215351325134213
730346406061303141
oct2717304310660201
9441811542757260
10102212221231233
112a627a61244063
12b5694b60ba369
13450575693cc49
141b3515290c921
15bc3b93ae2073
hex5cf623236081

102212221231233 has 64 divisors (see below), whose sum is σ = 158884178641920. Its totient is φ = 64871621957376.

The previous prime is 102212221231231. The next prime is 102212221231279. The reversal of 102212221231233 is 332132122212201.

102212221231233 is a `hidden beast` number, since 1 + 0 + 2 + 212 + 2 + 212 + 3 + 1 + 233 = 666.

It is not a de Polignac number, because 102212221231233 - 21 = 102212221231231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102212221231197 and 102212221231206.

It is not an unprimeable number, because it can be changed into a prime (102212221231231) 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, 16801491 + ... + 22061607.

It is an arithmetic number, because the mean of its divisors is an integer number (2482565291280).

Almost surely, 2102212221231233 is an apocalyptic number.

It is an amenable number.

102212221231233 is a deficient number, since it is larger than the sum of its proper divisors (56671957410687).

102212221231233 is a wasteful number, since it uses less digits than its factorization.

102212221231233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260583 (or 5260577 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102212221231233 its reverse (332132122212201), we get a palindrome (434344343443434).

The spelling of 102212221231233 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-one million, two hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 27 37 53 111 159 333 367 477 999 1101 1431 1961 3303 5883 9909 13579 17649 19451 40737 52947 58353 122211 175059 366633 525177 719687 2159061 5260117 6477183 15780351 19431549 47341053 142023159 194624329 278786201 583872987 836358603 1751618961 1930462939 2509075809 5254856883 5791388817 7527227427 10315089437 17374166451 30945268311 52122499353 71427128743 92835804933 102314535767 214281386229 278507414799 306943607301 642844158687 920830821903 1928532476061 2762492465709 3785637823379 11356913470137 34070740410411 102212221231233