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131444002300 = 225213472151293
BaseRepresentation
bin111101001101010101…
…1000100110111111100
3110120021120002011101111
41322122223010313330
54123144131033200
6140215021051404
712332206404412
oct1723253046774
9416246064344
10131444002300
1150821792466
12215843b6b64
13c51a0bb770
14650d1932b2
1536449eb0ba
hex1e9aac4dfc

131444002300 has 72 divisors (see below), whose sum is σ = 313710296256. Its totient is φ = 47500527360.

The previous prime is 131444002289. The next prime is 131444002321. The reversal of 131444002300 is 3200444131.

It is a congruent number.

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, 1014547 + ... + 1136746.

It is an arithmetic number, because the mean of its divisors is an integer number (4357087448).

Almost surely, 2131444002300 is an apocalyptic number.

131444002300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131444002300 is an abundant number, since it is smaller than the sum of its proper divisors (182266293956).

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

131444002300 is a wasteful number, since it uses less digits than its factorization.

131444002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151367 (or 2151360 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 131444002300 its reverse (3200444131), we get a palindrome (134644446431).

The spelling of 131444002300 in words is "one hundred thirty-one billion, four hundred forty-four million, two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 65 94 100 130 188 235 260 325 470 611 650 940 1175 1222 1300 2350 2444 3055 4700 6110 12220 15275 30550 61100 2151293 4302586 8605172 10756465 21512930 27966809 43025860 53782325 55933618 101110771 107564650 111867236 139834045 202221542 215129300 279668090 404443084 505553855 559336180 699170225 1011107710 1314440023 1398340450 2022215420 2527769275 2628880046 2796680900 5055538550 5257760092 6572200115 10111077100 13144400230 26288800460 32861000575 65722001150 131444002300