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113203110312 = 233229167324647
BaseRepresentation
bin110100101101101101…
…1100110000110101000
3101211012022121211200100
41221123123212012220
53323314444012222
6124001011305400
711115164363325
oct1513333460650
9354168554610
10113203110312
1144011228316
1219b335ab260
13a8a0cb7356
14569c77bb4c
152e2840c4ac
hex1a5b6e61a8

113203110312 has 96 divisors (see below), whose sum is σ = 319064054400. Its totient is φ = 36214910592.

The previous prime is 113203110301. The next prime is 113203110323. The reversal of 113203110312 is 213011302311.

113203110312 is a `hidden beast` number, since 1 + 1 + 320 + 31 + 1 + 0 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (113203110301) and next prime (113203110323).

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186373 + ... + 511019.

It is an arithmetic number, because the mean of its divisors is an integer number (3323583900).

Almost surely, 2113203110312 is an apocalyptic number.

113203110312 is a gapful number since it is divisible by the number (12) 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 113203110312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159532027200).

113203110312 is an abundant number, since it is smaller than the sum of its proper divisors (205860944088).

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

113203110312 is a wasteful number, since it uses less digits than its factorization.

113203110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324855 (or 324848 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113203110312 its reverse (213011302311), we get a palindrome (326214412623).

The spelling of 113203110312 in words is "one hundred thirteen billion, two hundred three million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 167 174 232 261 334 348 501 522 668 696 1002 1044 1336 1503 2004 2088 3006 4008 4843 6012 9686 12024 14529 19372 29058 38744 43587 58116 87174 116232 174348 324647 348696 649294 973941 1298588 1947882 2597176 2921823 3895764 5843646 7791528 9414763 11687292 18829526 23374584 28244289 37659052 54216049 56488578 75318104 84732867 108432098 112977156 162648147 169465734 216864196 225954312 325296294 338931468 433728392 487944441 650592588 677862936 975888882 1301185176 1572265421 1951777764 3144530842 3903555528 4716796263 6289061684 9433592526 12578123368 14150388789 18867185052 28300777578 37734370104 56601555156 113203110312