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13237800312 = 233111724112239
BaseRepresentation
bin11000101010000100…
…01100110101111000
31021011120020221011110
430111002030311320
5204102334102222
610025324000320
7646021306002
oct142502146570
937146227143
1013237800312
115683436340
1226953900a0
13132c732549
148d818b372
1552727630c
hex31508cd78

13237800312 has 128 divisors (see below), whose sum is σ = 38388556800. Its totient is φ = 3759513600.

The previous prime is 13237800311. The next prime is 13237800313. The reversal of 13237800312 is 21300873231.

It is an interprime number because it is at equal distance from previous prime (13237800311) and next prime (13237800313).

It is a self number, because there is not a number n which added to its sum of digits gives 13237800312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13237800311) 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, 1075489 + ... + 1087727.

It is an arithmetic number, because the mean of its divisors is an integer number (299910600).

Almost surely, 213237800312 is an apocalyptic number.

13237800312 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 13237800312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194278400).

13237800312 is an abundant number, since it is smaller than the sum of its proper divisors (25150756488).

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

13237800312 is a wasteful number, since it uses less digits than its factorization.

13237800312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12517 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 13237800312 in words is "thirteen billion, two hundred thirty-seven million, eight hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 241 264 374 408 482 561 723 748 964 1122 1446 1496 1928 2244 2651 2892 4097 4488 5302 5784 7953 8194 10604 12239 12291 15906 16388 21208 24478 24582 31812 32776 36717 45067 48956 49164 63624 73434 90134 97912 98328 134629 135201 146868 180268 208063 269258 270402 293736 360536 403887 416126 538516 540804 624189 807774 832252 1077032 1081608 1248378 1615548 1664504 2288693 2496756 2949599 3231096 4577386 4993512 5899198 6866079 8848797 9154772 11798396 13732158 17697594 18309544 23596792 27464316 32445589 35395188 50143183 54928632 64891178 70790376 97336767 100286366 129782356 150429549 194673534 200572732 259564712 300859098 389347068 401145464 551575013 601718196 778694136 1103150026 1203436392 1654725039 2206300052 3309450078 4412600104 6618900156 13237800312