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112616252166 = 231110752330491
BaseRepresentation
bin110100011100001110…
…0111010001100000110
3101202200102100100122110
41220320130322030012
53321114230032131
6123422445041450
711064510230535
oct1507034721406
9352612310573
10112616252166
114383aa36090
12199aab56286
13a809540402
14564485631c
152de1b38646
hex1a3873a306

112616252166 has 64 divisors (see below), whose sum is σ = 248486870016. Its totient is φ = 33741453600.

The previous prime is 112616252129. The next prime is 112616252201. The reversal of 112616252166 is 661252616211.

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3678181 + ... + 3708671.

It is an arithmetic number, because the mean of its divisors is an integer number (3882607344).

Almost surely, 2112616252166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112616252166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124243435008).

112616252166 is an abundant number, since it is smaller than the sum of its proper divisors (135870617850).

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

112616252166 is a wasteful number, since it uses less digits than its factorization.

112616252166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31137.

The product of its digits is 51840, while the sum is 39.

Adding to 112616252166 its reverse (661252616211), we get a palindrome (773868868377).

The spelling of 112616252166 in words is "one hundred twelve billion, six hundred sixteen million, two hundred fifty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 107 214 321 523 642 1046 1177 1569 2354 3138 3531 5753 7062 11506 17259 30491 34518 55961 60982 91473 111922 167883 182946 335401 335766 615571 670802 1006203 1231142 1846713 2012406 3262537 3693426 6525074 9787611 15946793 19575222 31893586 35887907 47840379 71775814 95680758 107663721 175414723 215327442 350829446 526244169 1052488338 1706306851 3412613702 5118920553 10237841106 18769375361 37538750722 56308126083 112616252166