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102122120211219 = 3241177275564083
BaseRepresentation
bin10111001110000100101000…
…101100101110101100010011
3111101120210001010212212202200
4113032010220230232230103
5101341132100233224334
61001110130535414243
730340036224255453
oct2716045054565423
9441523033785680
10102122120211219
112a5a28255a5159
12b553b4b524383
1344ca0c7c0ab14
141b30a46435d63
15bc166d95d799
hex5ce128b2eb13

102122120211219 has 12 divisors (see below), whose sum is σ = 147513312062376. Its totient is φ = 68079759842592.

The previous prime is 102122120211217. The next prime is 102122120211227. The reversal of 102122120211219 is 912112021221201.

102122120211219 is a `hidden beast` number, since 1 + 0 + 21 + 2 + 212 + 0 + 211 + 219 = 666.

It is not a de Polignac number, because 102122120211219 - 21 = 102122120211217 is a prime.

It is a super-2 number, since 2×1021221202112192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102122120211192 and 102122120211201.

It is not an unprimeable number, because it can be changed into a prime (102122120211217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137411449 + ... + 138152634.

It is an arithmetic number, because the mean of its divisors is an integer number (12292776005198).

Almost surely, 2102122120211219 is an apocalyptic number.

102122120211219 is a deficient number, since it is larger than the sum of its proper divisors (45391191851157).

102122120211219 is a wasteful number, since it uses less digits than its factorization.

102122120211219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275605266 (or 275605263 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 102122120211219 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred eleven thousand, two hundred nineteen".

Divisors: 1 3 9 41177 123531 370593 275564083 826692249 2480076747 11346902245691 34040706737073 102122120211219