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10112223339 = 3217192223821
BaseRepresentation
bin10010110101011110…
…00100100001101011
3222002201221011121100
421122233010201223
5131202212121324
64351232012443
7505406323461
oct113257044153
928081834540
1010112223339
11431a0a5079
121b62691123
13c5202080a
146bd016831
153e2b794c9
hex25abc486b

10112223339 has 72 divisors (see below), whose sum is σ = 16415747712. Its totient is φ = 5976737280.

The previous prime is 10112223337. The next prime is 10112223347. The reversal of 10112223339 is 93332221101.

10112223339 is a `hidden beast` number, since 101 + 1 + 2 + 223 + 339 = 666.

10112223339 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10112223339 - 21 = 10112223337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10112223337) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12316549 + ... + 12317369.

It is an arithmetic number, because the mean of its divisors is an integer number (227996496).

Almost surely, 210112223339 is an apocalyptic number.

10112223339 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10112223339 is a deficient number, since it is larger than the sum of its proper divisors (6303524373).

10112223339 is a wasteful number, since it uses less digits than its factorization.

10112223339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 10112223339 in words is "ten billion, one hundred twelve million, two hundred twenty-three thousand, three hundred thirty-nine".

Divisors: 1 3 9 17 19 51 57 153 171 223 323 361 669 821 969 1083 2007 2463 2907 3249 3791 4237 6137 7389 11373 12711 13957 15599 18411 34119 38133 41871 46797 55233 72029 80503 125613 140391 183083 216087 241509 265183 296381 549249 648261 724527 795549 889143 1368551 1647747 2386647 2667429 3112411 3478577 4105653 5038477 9337233 10435731 12316959 15115431 28011699 31307193 45346293 59135809 66092963 177407427 198278889 532222281 594836667 1123580371 3370741113 10112223339