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10231302132 = 223124813
BaseRepresentation
bin10011000011101010…
…10100011111110100
3222102001000000000000
421201311110133310
5131423203132012
64411124151300
7511353430122
oct114165243764
928361000000
1010231302132
1143803377a7
121b96538530
13c708b433c
146d0b72912
153ed34bddc
hex261d547f4

10231302132 has 78 divisors (see below), whose sum is σ = 26862731378. Its totient is φ = 3409725456.

The previous prime is 10231302097. The next prime is 10231302149. The reversal of 10231302132 is 23120313201.

10231302132 is a `hidden beast` number, since 1 + 0 + 231 + 302 + 132 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9542554596 + 688747536 = 97686^2 + 26244^2 .

It is a super-3 number, since 3×102313021323 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 2123358 + ... + 2128170.

Almost surely, 210231302132 is an apocalyptic number.

10231302132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10231302132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431365689).

10231302132 is an abundant number, since it is smaller than the sum of its proper divisors (16631429246).

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

10231302132 is an frugal number, since it uses more digits than its factorization.

10231302132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853 (or 4818 counting only the distinct ones).

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

Adding to 10231302132 its reverse (23120313201), we get a palindrome (33351615333).

The spelling of 10231302132 in words is "ten billion, two hundred thirty-one million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 4813 6561 8748 9626 13122 14439 19252 19683 26244 28878 39366 43317 57756 59049 78732 86634 118098 129951 173268 177147 236196 259902 354294 389853 519804 531441 708588 779706 1062882 1169559 1559412 2125764 2339118 3508677 4678236 7017354 10526031 14034708 21052062 31578093 42104124 63156186 94734279 126312372 189468558 284202837 378937116 568405674 852608511 1136811348 1705217022 2557825533 3410434044 5115651066 10231302132