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13149308100 = 2235262117057
BaseRepresentation
bin11000011111100001…
…01000010011000100
31020221101202001200010
430033300220103010
5203412210324400
610012443150220
7643565163135
oct141760502304
936841661603
1013149308100
115638494885
12266b815370
1313172ba9a6
148ca513c8c
1551e5e6450
hex30fc284c4

13149308100 has 72 divisors (see below), whose sum is σ = 38056848928. Its totient is φ = 3505420800.

The previous prime is 13149308089. The next prime is 13149308113. The reversal of 13149308100 is 180394131.

It is a super-2 number, since 2×131493081002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1859772 + ... + 1866828.

Almost surely, 213149308100 is an apocalyptic number.

13149308100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13149308100 is an abundant number, since it is smaller than the sum of its proper divisors (24907540828).

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

13149308100 is a wasteful number, since it uses less digits than its factorization.

13149308100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13285 (or 13278 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 13149308100 in words is "thirteen billion, one hundred forty-nine million, three hundred eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 6211 7057 12422 14114 18633 21171 24844 28228 31055 35285 37266 42342 62110 70570 74532 84684 93165 105855 124220 141140 155275 176425 186330 211710 310550 352850 372660 423420 465825 529275 621100 705700 931650 1058550 1863300 2117100 43831027 87662054 131493081 175324108 219155135 262986162 438310270 525972324 657465405 876620540 1095775675 1314930810 2191551350 2629861620 3287327025 4383102700 6574654050 13149308100