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3213133032 = 233432611187
BaseRepresentation
bin1011111110000100…
…1000010011101000
322021221002001220010
42333201020103220
523040030224112
61250500331520
7142424115534
oct27741102350
98257061803
103213133032
1113a980344a
127580a3ba0
133c28b9465
14226a46bc4
1513c14463c
hexbf8484e8

3213133032 has 96 divisors (see below), whose sum is σ = 8365848480. Its totient is φ = 1028119680.

The previous prime is 3213133019. The next prime is 3213133057. The reversal of 3213133032 is 2303313123.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2706343 + ... + 2707529.

It is an arithmetic number, because the mean of its divisors is an integer number (87144255).

Almost surely, 23213133032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182924240).

3213133032 is an abundant number, since it is smaller than the sum of its proper divisors (5152715448).

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

3213133032 is a wasteful number, since it uses less digits than its factorization.

3213133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 3213133032 is about 56684.5043376054. The cubic root of 3213133032 is about 1475.6257855240.

Adding to 3213133032 its reverse (2303313123), we get a palindrome (5516446155).

The spelling of 3213133032 in words is "three billion, two hundred thirteen million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 61 86 122 129 172 183 244 258 344 366 488 516 732 1032 1187 1464 1849 2374 2623 3561 3698 4748 5246 5547 7122 7396 7869 9496 10492 11094 14244 14792 15738 20984 22188 28488 31476 44376 51041 62952 72407 102082 112789 144814 153123 204164 217221 225578 289628 306246 338367 408328 434442 451156 579256 612492 676734 868884 902312 1224984 1353468 1737768 2194763 2706936 3113501 4389526 6227002 6584289 8779052 9340503 12454004 13168578 17558104 18681006 24908008 26337156 37362012 52674312 74724024 133880543 267761086 401641629 535522172 803283258 1071044344 1606566516 3213133032