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102223132431 = 37313722319031
BaseRepresentation
bin101111100110011111…
…0010011011100001111
3100202212002212011121220
41133030332103130033
53133323110214211
6114543300254423
710246120201110
oct1371476233417
9322762764556
10102223132431
113a397325432
121798a3a1413
139841280214
144d3a400207
1529d44c5806
hex17ccf9370f

102223132431 has 64 divisors (see below), whose sum is σ = 165888393216. Its totient is φ = 54751593600.

The previous prime is 102223132421. The next prime is 102223132433. The reversal of 102223132431 is 134231322201.

It is not a de Polignac number, because 102223132431 - 25 = 102223132399 is a prime.

It is a super-2 number, since 2×1022231324312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102223132433) 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 63 ways as a sum of consecutive naturals, for example, 5361886 + ... + 5380916.

It is an arithmetic number, because the mean of its divisors is an integer number (2592006144).

Almost surely, 2102223132431 is an apocalyptic number.

102223132431 is a deficient number, since it is larger than the sum of its proper divisors (63665260785).

102223132431 is a wasteful number, since it uses less digits than its factorization.

102223132431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19332.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102223132431 its reverse (134231322201), we get a palindrome (236454454632).

The spelling of 102223132431 in words is "one hundred two billion, two hundred twenty-three million, one hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 31 37 93 111 217 223 259 651 669 777 1147 1561 3441 4683 6913 8029 8251 19031 20739 24087 24753 48391 57093 57757 133217 145173 173271 255781 399651 589961 704147 767343 1769883 1790467 2112441 4129727 4243913 4929029 5371401 12389181 12731739 14787087 21828557 29707391 65485671 89122173 131561303 152799899 157024781 394683909 458399697 471074343 920929121 1099173467 2762787363 3297520401 4867768211 14603304633 34074377477 102223132431