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13431221312 = 262343443479
BaseRepresentation
bin11001000001001000…
…00010110001000000
31021200001012201220012
430200210002301000
5210001343040222
610100433404052
7653560332425
oct144044026100
937601181805
1013431221312
115772635403
12272a109628
131360825142
14915b39d4c
155392311e2
hex320902c40

13431221312 has 112 divisors (see below), whose sum is σ = 28581949440. Its totient is φ = 6247008768.

The previous prime is 13431221299. The next prime is 13431221339. The reversal of 13431221312 is 21312213431.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28039889 + ... + 28040367.

Almost surely, 213431221312 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 13431221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14290974720).

13431221312 is an abundant number, since it is smaller than the sum of its proper divisors (15150728128).

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

13431221312 is a wasteful number, since it uses less digits than its factorization.

13431221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 990 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

Adding to 13431221312 its reverse (21312213431), we get a palindrome (34743434743).

The spelling of 13431221312 in words is "thirteen billion, four hundred thirty-one million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 172 184 344 368 443 479 688 736 886 958 989 1376 1472 1772 1916 1978 2752 3544 3832 3956 7088 7664 7912 10189 11017 14176 15328 15824 19049 20378 20597 22034 28352 30656 31648 38098 40756 41194 44068 63296 76196 81512 82388 88136 152392 163024 164776 176272 212197 304784 326048 329552 352544 424394 438127 473731 609568 652096 659104 705088 848788 876254 947462 1219136 1318208 1697576 1752508 1894924 3395152 3505016 3789848 4880531 6790304 7010032 7579696 9124471 9761062 13580608 14020064 15159392 18248942 19522124 28040128 30318784 36497884 39044248 72995768 78088496 145991536 156176992 209862833 291983072 312353984 419725666 583966144 839451332 1678902664 3357805328 6715610656 13431221312