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113735082406 = 211311738631117
BaseRepresentation
bin110100111101100100…
…0111010000110100110
3101212120101121211012111
41221323020322012212
53330412140114111
6124125453311234
711134314151351
oct1517310720646
9355511554174
10113735082406
1144264541880
121a06179551a
13a957284c3a
14570d297298
152e59e8da21
hex1a7b23a1a6

113735082406 has 64 divisors (see below), whose sum is σ = 193623146496. Its totient is φ = 49638787200.

The previous prime is 113735082379. The next prime is 113735082427. The reversal of 113735082406 is 604280537311.

It is a super-2 number, since 2×1137350824062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 101821360 + ... + 101822476.

It is an arithmetic number, because the mean of its divisors is an integer number (3025361664).

Almost surely, 2113735082406 is an apocalyptic number.

113735082406 is a deficient number, since it is larger than the sum of its proper divisors (79888064090).

113735082406 is a wasteful number, since it uses less digits than its factorization.

113735082406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 113735082406 in words is "one hundred thirteen billion, seven hundred thirty-five million, eighty-two thousand, four hundred six".

Divisors: 1 2 11 22 31 62 173 341 346 682 863 1117 1726 1903 2234 3806 5363 9493 10726 12287 18986 24574 26753 34627 53506 58993 69254 117986 149299 193241 294283 298598 380897 386482 588566 761794 963971 1642289 1927942 2125651 3284578 4251302 4628269 5990471 9256538 10603681 11980942 21207362 29883101 50910959 59766202 65895181 101821918 131790362 166766983 328714111 333533966 657428222 1834436813 3668873626 5169776473 10339552946 56867541203 113735082406