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10132231230 = 23251188111617
BaseRepresentation
bin10010110111110110…
…11001010000111110
3222011010120200021100
421123323121100332
5131222322344410
64353224513530
7506041354512
oct113373312076
928133520240
1010132231230
11432a420320
121b6931b8a6
13c562076c4
146c1944142
153e47cc8c0
hex25bed943e

10132231230 has 96 divisors (see below), whose sum is σ = 28773789408. Its totient is φ = 2453299200.

The previous prime is 10132231163. The next prime is 10132231237. The reversal of 10132231230 is 3213223101.

10132231230 is a `hidden beast` number, since 1 + 0 + 1 + 322 + 312 + 30 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132231237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866382 + ... + 877998.

It is an arithmetic number, because the mean of its divisors is an integer number (299726973).

Almost surely, 210132231230 is an apocalyptic number.

10132231230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132231230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14386894704).

10132231230 is an abundant number, since it is smaller than the sum of its proper divisors (18641558178).

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

10132231230 is a wasteful number, since it uses less digits than its factorization.

10132231230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12522 (or 12519 counting only the distinct ones).

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

Adding to 10132231230 its reverse (3213223101), we get a palindrome (13345454331).

The spelling of 10132231230 in words is "ten billion, one hundred thirty-two million, two hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 881 990 1762 2643 4405 5286 7929 8810 9691 11617 13215 15858 19382 23234 26430 29073 34851 39645 48455 58085 58146 69702 79290 87219 96910 104553 116170 127787 145365 174255 174438 209106 255574 290730 348510 383361 436095 522765 638935 766722 872190 1045530 1150083 1277870 1916805 2300166 3833610 5750415 10234577 11500830 20469154 30703731 51172885 61407462 92111193 102345770 112580347 153518655 184222386 225160694 307037310 337741041 460555965 562901735 675482082 921111930 1013223123 1125803470 1688705205 2026446246 3377410410 5066115615 10132231230