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113213731500 = 223253124920143
BaseRepresentation
bin110100101110000010…
…0000111001010101100
3101211020001121110012200
41221130010013022230
53323330203402000
6124002031101500
711115353561022
oct1513404071254
9354201543180
10113213731500
1144017222161
1219b37071890
13a8a326588c
14569dd44712
152e29309500
hex1a5c1072ac

113213731500 has 144 divisors (see below), whose sum is σ = 357455280000. Its totient is φ = 30164659200.

The previous prime is 113213731489. The next prime is 113213731507. The reversal of 113213731500 is 5137312311.

It is a happy number.

113213731500 is a `hidden beast` number, since 113 + 2 + 13 + 7 + 31 + 500 = 666.

It is not an unprimeable number, because it can be changed into a prime (113213731507) 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, 5610429 + ... + 5630571.

Almost surely, 2113213731500 is an apocalyptic number.

113213731500 is a gapful number since it is divisible by the number (10) 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 113213731500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178727640000).

113213731500 is an abundant number, since it is smaller than the sum of its proper divisors (244241548500).

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

113213731500 is a wasteful number, since it uses less digits than its factorization.

113213731500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21417 (or 21402 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 113213731500 in words is "one hundred thirteen billion, two hundred thirteen million, seven hundred thirty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1249 1500 2250 2498 3747 4500 4996 6245 7494 11241 12490 14988 18735 20143 22482 24980 31225 37470 40286 44964 56205 60429 62450 74940 80572 93675 100715 112410 120858 124900 156125 181287 187350 201430 224820 241716 281025 302145 312250 362574 374700 402860 468375 503575 562050 604290 624500 725148 906435 936750 1007150 1124100 1208580 1405125 1510725 1812870 1873500 2014300 2517875 2810250 3021450 3625740 4532175 5035750 5620500 6042900 7553625 9064350 10071500 15107250 18128700 22660875 25158607 30214500 45321750 50317214 75475821 90643500 100634428 125793035 150951642 226427463 251586070 301903284 377379105 452854926 503172140 628965175 754758210 905709852 1132137315 1257930350 1509516420 1886895525 2264274630 2515860700 3144825875 3773791050 4528549260 5660686575 6289651750 7547582100 9434477625 11321373150 12579303500 18868955250 22642746300 28303432875 37737910500 56606865750 113213731500