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10102102231 = 1322731310937
BaseRepresentation
bin10010110100010000…
…11101100011010111
3222002000212222001111
421122020131203113
5131142114232411
64350231035451
7505224311044
oct113210354327
928060788044
1010102102231
114314411a21
121b5b20bb87
13c4cbb8ab0
146bb9401cb
153e1d2a721
hex25a21d8d7

10102102231 has 16 divisors (see below), whose sum is σ = 10963026144. Its totient is φ = 9253430784.

The previous prime is 10102102211. The next prime is 10102102247. The reversal of 10102102231 is 13220120101.

10102102231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10102102231 is a prime.

It is a super-2 number, since 2×101021022312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102102201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918195 + ... + 929131.

It is an arithmetic number, because the mean of its divisors is an integer number (685189134).

Almost surely, 210102102231 is an apocalyptic number.

10102102231 is a deficient number, since it is larger than the sum of its proper divisors (860923913).

10102102231 is a wasteful number, since it uses less digits than its factorization.

10102102231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11490.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10102102231 its reverse (13220120101), we get a palindrome (23322222332).

The spelling of 10102102231 in words is "ten billion, one hundred two million, one hundred two thousand, two hundred thirty-one".

Divisors: 1 13 227 313 2951 4069 10937 71051 142181 923663 2482699 3423281 32275087 44502653 777084787 10102102231