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113310332100 = 223252717985767
BaseRepresentation
bin110100110000111010…
…0100111010011000100
3101211110210101021022200
41221201310213103010
53324024421111400
6124015401354500
711120635634310
oct1514164472304
9354423337280
10113310332100
1144066801669
1219b63498a30
13a8ba288cb4
1456acaccb40
152e32a3bb00
hex1a61d274c4

113310332100 has 108 divisors (see below), whose sum is σ = 405902812224. Its totient is φ = 25899503040.

The previous prime is 113310332081. The next prime is 113310332123. The reversal of 113310332100 is 1233013311.

It is a happy number.

113310332100 is a `hidden beast` number, since 1 + 1 + 331 + 0 + 332 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×1133103321002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8986584 + ... + 8999183.

Almost surely, 2113310332100 is an apocalyptic number.

113310332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113310332100 is an abundant number, since it is smaller than the sum of its proper divisors (292592480124).

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

113310332100 is a wasteful number, since it uses less digits than its factorization.

113310332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17985794 (or 17985784 counting only the distinct ones).

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

Adding to 113310332100 its reverse (1233013311), we get a palindrome (114543345411).

The spelling of 113310332100 in words is "one hundred thirteen billion, three hundred ten million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 17985767 35971534 53957301 71943068 89928835 107914602 125900369 161871903 179857670 215829204 251800738 269786505 323743806 359715340 377701107 449644175 503601476 539573010 629501845 647487612 755402214 809359515 899288350 1079146020 1133103321 1259003690 1348932525 1510804428 1618719030 1798576700 1888505535 2266206642 2518007380 2697865050 3147509225 3237438060 3777011070 4046797575 4532413284 5395730100 5665516605 6295018450 7554022140 8093595150 9442527675 11331033210 12590036900 16187190300 18885055350 22662066420 28327583025 37770110700 56655166050 113310332100