Search a number
-
+
102112031030331 = 3721936559982467
BaseRepresentation
bin10111001101111011001111…
…010101100011110000111011
3111101112211000000022101110110
4113031323033111203300323
5101341000414420432311
61001101341445315403
730336231214532100
oct2715731725436073
9441484000271413
10102112031030331
112a599518509233
12b551bb4705b63
1344c917a8c74ba
141b3036a4daaa7
15bc127cd368a6
hex5cdecf563c3b

102112031030331 has 24 divisors (see below), whose sum is σ = 166713520054080. Its totient is φ = 55278693488592.

The previous prime is 102112031030231. The next prime is 102112031030363. The reversal of 102112031030331 is 133030130211201.

It is a happy number.

It is not a de Polignac number, because 102112031030331 - 29 = 102112031029819 is a prime.

It is a super-2 number, since 2×1021120310303312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102112031030298 and 102112031030307.

It is not an unprimeable number, because it can be changed into a prime (102112031030231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18279988441 + ... + 18279994026.

It is an arithmetic number, because the mean of its divisors is an integer number (6946396668920).

Almost surely, 2102112031030331 is an apocalyptic number.

102112031030331 is a deficient number, since it is larger than the sum of its proper divisors (64601489023749).

102112031030331 is a wasteful number, since it uses less digits than its factorization.

102112031030331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36559982503 (or 36559982496 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 102112031030331 its reverse (133030130211201), we get a palindrome (235142161241532).

The spelling of 102112031030331 in words is "one hundred two trillion, one hundred twelve billion, thirty-one million, thirty thousand, three hundred thirty-one".

Divisors: 1 3 7 19 21 49 57 133 147 399 931 2793 36559982467 109679947401 255919877269 694639666873 767759631807 1791439140883 2083919000619 4862477668111 5374317422649 14587433004333 34037343676777 102112031030331