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113123133000 = 23325312569237
BaseRepresentation
bin110100101011010101…
…0100000011001001000
3101210222202010120102200
41221112222200121020
53323134010224000
6123545033200200
711113203523323
oct1512652403110
9353882116380
10113123133000
1143a80072169
1219b10860060
13a88a5643b7
145691cbd7ba
152e213b0500
hex1a56aa0648

113123133000 has 96 divisors (see below), whose sum is σ = 382356219960. Its totient is φ = 30166166400.

The previous prime is 113123132939. The next prime is 113123133043. The reversal of 113123133000 is 331321311.

It is a happy number.

113123133000 is a `hidden beast` number, since 1 + 131 + 231 + 3 + 300 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57637446084 + 55485686916 = 240078^2 + 235554^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 6275619 + ... + 6293618.

Almost surely, 2113123133000 is an apocalyptic number.

113123133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113123133000 is an abundant number, since it is smaller than the sum of its proper divisors (269233086960).

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

113123133000 is a wasteful number, since it uses less digits than its factorization.

113123133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12569264 (or 12569247 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113123133000 its reverse (331321311), we get a palindrome (113454454311).

The spelling of 113123133000 in words is "one hundred thirteen billion, one hundred twenty-three million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 12569237 25138474 37707711 50276948 62846185 75415422 100553896 113123133 125692370 150830844 188538555 226246266 251384740 301661688 314230925 377077110 452492532 502769480 565615665 628461850 754154220 904985064 942692775 1131231330 1256923700 1508308440 1571154625 1885385550 2262462660 2513847400 2828078325 3142309250 3770771100 4524925320 4713463875 5656156650 6284618500 7541542200 9426927750 11312313300 12569237000 14140391625 18853855500 22624626600 28280783250 37707711000 56561566500 113123133000