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2110120312032 = 253243051170189
BaseRepresentation
bin11110101101001100111…
…110001011110011100000
321110201120220122022102100
4132231030332023303200
5234033011244441112
64253213105250400
7305310514466325
oct36551476136340
97421526568370
102110120312032
117439959a6127
122a0b57033a00
13123ca2967215
14741b7a30b4c
1539d5093d2dc
hex1eb4cf8bce0

2110120312032 has 72 divisors (see below), whose sum is σ = 6000829281720. Its totient is φ = 703352966400.

The previous prime is 2110120312031. The next prime is 2110120312087. The reversal of 2110120312032 is 2302130210112.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2110120311996 and 2110120312014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110120312031) 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, 12313594 + ... + 12483782.

It is an arithmetic number, because the mean of its divisors is an integer number (83344851135).

Almost surely, 22110120312032 is an apocalyptic number.

It is an amenable number.

2110120312032 is an abundant number, since it is smaller than the sum of its proper divisors (3890708969688).

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

2110120312032 is a wasteful number, since it uses less digits than its factorization.

2110120312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213256 (or 213245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2110120312032 its reverse (2302130210112), we get a palindrome (4412250522144).

The spelling of 2110120312032 in words is "two trillion, one hundred ten billion, one hundred twenty million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 43051 86102 129153 170189 172204 258306 340378 344408 387459 510567 516612 680756 688816 774918 1021134 1033224 1361512 1377632 1531701 1549836 2042268 2066448 2723024 3063402 3099672 4084536 4132896 5446048 6126804 6199344 8169072 12253608 12398688 16338144 24507216 49014432 7326806639 14653613278 21980419917 29307226556 43960839834 58614453112 65941259751 87921679668 117228906224 131882519502 175843359336 234457812448 263765039004 351686718672 527530078008 703373437344 1055060156016 2110120312032