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10223131023 = 327268333941
BaseRepresentation
bin10011000010101100…
…01001100110001111
3222101110121212100100
421201112021212033
5131414110143043
64410233102143
7511224115500
oct114126114617
928343555310
1010223131023
114376766716
121b93857953
13c6bcb3071
146cda46ba7
153ec785cd3
hex26158998f

10223131023 has 36 divisors (see below), whose sum is σ = 17203299048. Its totient is φ = 5833064160.

The previous prime is 10223130949. The next prime is 10223131097. The reversal of 10223131023 is 32013132201.

10223131023 is a `hidden beast` number, since 102 + 231 + 310 + 23 = 666.

It is an interprime number because it is at equal distance from previous prime (10223130949) and next prime (10223131097).

It is not a de Polignac number, because 10223131023 - 213 = 10223122831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10223130987 and 10223131005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223133023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284233 + ... + 318173.

It is an arithmetic number, because the mean of its divisors is an integer number (477869418).

Almost surely, 210223131023 is an apocalyptic number.

10223131023 is a deficient number, since it is larger than the sum of its proper divisors (6980168025).

10223131023 is a wasteful number, since it uses less digits than its factorization.

10223131023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34644 (or 34634 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10223131023 its reverse (32013132201), we get a palindrome (42236263224).

It can be divided in two parts, 10223 and 131023, that added together give a triangular number (141246 = T531).

The spelling of 10223131023 in words is "ten billion, two hundred twenty-three million, one hundred thirty-one thousand, twenty-three".

Divisors: 1 3 7 9 21 49 63 147 441 683 2049 4781 6147 14343 33467 33941 43029 100401 101823 237587 301203 305469 712761 1663109 2138283 4989327 14967981 23181703 69545109 162271921 208635327 486815763 1135903447 1460447289 3407710341 10223131023