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113117190 = 235107131269
BaseRepresentation
bin1101011111000…
…00100000000110
321212211221121120
412233200200012
5212424222230
615120254410
72542323504
oct657404006
9255757546
10113117190
115894068a
1231a71406
131a587164
1411047674
159de6310
hex6be0806

113117190 has 64 divisors (see below), whose sum is σ = 277136640. Its totient is φ = 29544320.

The previous prime is 113117189. The next prime is 113117327. The reversal of 113117190 is 91711311.

It is a super-2 number, since 2×1131171902 = 25590997346992200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 113117190.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420376 + ... + 420644.

It is an arithmetic number, because the mean of its divisors is an integer number (4330260).

Almost surely, 2113117190 is an apocalyptic number.

113117190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113117190 is an abundant number, since it is smaller than the sum of its proper divisors (164019450).

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

113117190 is a wasteful number, since it uses less digits than its factorization.

113117190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517.

The product of its (nonzero) digits is 189, while the sum is 24.

The square root of 113117190 is about 10635.6565382679. The cubic root of 113117190 is about 483.6258834007.

The spelling of 113117190 in words is "one hundred thirteen million, one hundred seventeen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 107 131 214 262 269 321 393 535 538 642 655 786 807 1070 1310 1345 1605 1614 1965 2690 3210 3930 4035 8070 14017 28034 28783 35239 42051 57566 70085 70478 84102 86349 105717 140170 143915 172698 176195 210255 211434 287830 352390 420510 431745 528585 863490 1057170 3770573 7541146 11311719 18852865 22623438 37705730 56558595 113117190