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1300310132100 = 2235271736423253
BaseRepresentation
bin10010111011000000100…
…001100000010110000100
311121022022211220210111020
4102323000201200112010
5132301013343211400
62433204302511140
7162641616520530
oct22730041402604
94538284823436
101300310132100
11461505197011
121900132954b0
1395807431c65
1446d14838bc0
1523c562862a0
hex12ec0860584

1300310132100 has 144 divisors (see below), whose sum is σ = 4552615363968. Its totient is φ = 279730575360.

The previous prime is 1300310132089. The next prime is 1300310132101. The reversal of 1300310132100 is 12310130031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1300310132100.

It is not an unprimeable number, because it can be changed into a prime (1300310132101) 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, 18175927 + ... + 18247326.

It is an arithmetic number, because the mean of its divisors is an integer number (31615384472).

Almost surely, 21300310132100 is an apocalyptic number.

1300310132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300310132100 is an abundant number, since it is smaller than the sum of its proper divisors (3252305231868).

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

1300310132100 is a wasteful number, since it uses less digits than its factorization.

1300310132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36423294 (or 36423287 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1300310132100 its reverse (12310130031), we get a palindrome (1312620262131).

The spelling of 1300310132100 in words is "one trillion, three hundred billion, three hundred ten million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 35700 36423253 72846506 109269759 145693012 182116265 218539518 254962771 364232530 437079036 509925542 546348795 619195301 728465060 764888313 910581325 1019851084 1092697590 1238390602 1274813855 1529776626 1821162650 1857585903 2185395180 2476781204 2549627710 2731743975 3059553252 3095976505 3642325300 3715171806 3824441565 4334367107 5099255420 5463487950 6191953010 6374069275 7430343612 7648883130 8668734214 9287929515 10926975900 12383906020 12748138550 13003101321 15297766260 15479882525 17337468428 18575859030 19122207825 21671835535 25496277100 26006202642 30959765050 37151718060 38244415650 43343671070 46439647575 52012405284 61919530100 65015506605 76488831300 86687342140 92879295150 108359177675 130031013210 185758590300 216718355350 260062026420 325077533025 433436710700 650155066050 1300310132100