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1331230032 = 243311457613
BaseRepresentation
bin100111101011000…
…1111010101010000
310102202221111022000
41033112033111100
510211243330112
6340032514000
744663161056
oct11726172520
93382844260
101331230032
11623498910
123119ab900
13182a50aa2
14c8b301d6
157bd0d7dc
hex4f58f550

1331230032 has 160 divisors (see below), whose sum is σ = 4184434560. Its totient is φ = 401863680.

The previous prime is 1331230031. The next prime is 1331230051. The reversal of 1331230032 is 2300321331.

1331230032 is a `hidden beast` number, since 1 + 331 + 2 + 300 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1331229987 and 1331230014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331230031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2171358 + ... + 2171970.

It is an arithmetic number, because the mean of its divisors is an integer number (26152716).

Almost surely, 21331230032 is an apocalyptic number.

1331230032 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 1331230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092217280).

1331230032 is an abundant number, since it is smaller than the sum of its proper divisors (2853204528).

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

1331230032 is a wasteful number, since it uses less digits than its factorization.

1331230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1331230032 is about 36486.0251603268. The cubic root of 1331230032 is about 1100.0633660467.

Adding to 1331230032 its reverse (2300321331), we get a palindrome (3631551363).

The spelling of 1331230032 in words is "one billion, three hundred thirty-one million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 457 528 594 613 792 914 1188 1226 1371 1584 1828 1839 2376 2452 2742 3656 3678 4113 4752 4904 5027 5484 5517 6743 7312 7356 8226 9808 10054 10968 11034 12339 13486 14712 15081 16452 16551 20108 20229 21936 22068 24678 26972 29424 30162 32904 33102 40216 40458 44136 45243 49356 53944 60324 60687 65808 66204 80432 80916 88272 90486 98712 107888 120648 121374 132408 135729 161832 180972 182061 197424 241296 242748 264816 271458 280141 323664 361944 364122 485496 542916 560282 723888 728244 840423 970992 1085832 1120564 1456488 1680846 2171664 2241128 2521269 2912976 3081551 3361692 4482256 5042538 6163102 6723384 7563807 9244653 10085076 12326204 13446768 15127614 18489306 20170152 24652408 27733959 30255228 36978612 40340304 49304816 55467918 60510456 73957224 83201877 110935836 121020912 147914448 166403754 221871672 332807508 443743344 665615016 1331230032