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10023321132 = 22331112776607
BaseRepresentation
bin10010101010110111…
…11011111000101100
3221212112122110201000
421111123323320230
5131011432234012
64334334320300
7503246552406
oct112533737054
927775573630
1010023321132
1142839a3580
121b38959090
13c39794466
146b12b3b76
153d9e67ddc
hex2556fbe2c

10023321132 has 96 divisors (see below), whose sum is σ = 28375280640. Its totient is φ = 3034532160.

The previous prime is 10023321107. The next prime is 10023321211. The reversal of 10023321132 is 23112332001.

It is a super-2 number, since 2×100233211322 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1513773 + ... + 1520379.

It is an arithmetic number, because the mean of its divisors is an integer number (295575840).

Almost surely, 210023321132 is an apocalyptic number.

10023321132 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 10023321132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14187640320).

10023321132 is an abundant number, since it is smaller than the sum of its proper divisors (18351959508).

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

10023321132 is a wasteful number, since it uses less digits than its factorization.

10023321132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7908 (or 7900 counting only the distinct ones).

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

Adding to 10023321132 its reverse (23112332001), we get a palindrome (33135653133).

The spelling of 10023321132 in words is "ten billion, twenty-three million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1277 2554 3831 5108 6607 7662 11493 13214 14047 15324 19821 22986 26428 28094 34479 39642 42141 45972 56188 59463 68958 72677 79284 84282 118926 126423 137916 145354 168564 178389 218031 237852 252846 290708 356778 379269 436062 505692 654093 713556 758538 872124 1308186 1517076 1962279 2616372 3924558 7849116 8437139 16874278 25311417 33748556 50622834 75934251 92808529 101245668 151868502 185617058 227802753 278425587 303737004 371234116 455605506 556851174 835276761 911211012 1113702348 1670553522 2505830283 3341107044 5011660566 10023321132