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13155062232 = 23313892272087
BaseRepresentation
bin11000100000001101…
…00101000111011000
31020221210120101212010
430100012211013120
5203420143442412
610013210345520
7643665120054
oct142006450730
936853511763
1013155062232
115640764a64
12267172b2a0
131318553ac0
148cb1b0c64
1551ed8133c
hex3101a51d8

13155062232 has 128 divisors (see below), whose sum is σ = 35990438400. Its totient is φ = 3982691328.

The previous prime is 13155062201. The next prime is 13155062233. The reversal of 13155062232 is 23226055131.

It is a self number, because there is not a number n which added to its sum of digits gives 13155062232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13155062233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6302293 + ... + 6304379.

It is an arithmetic number, because the mean of its divisors is an integer number (281175300).

Almost surely, 213155062232 is an apocalyptic number.

13155062232 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 13155062232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17995219200).

13155062232 is an abundant number, since it is smaller than the sum of its proper divisors (22835376168).

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

13155062232 is a wasteful number, since it uses less digits than its factorization.

13155062232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 13155062232 in words is "thirteen billion, one hundred fifty-five million, sixty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 89 104 156 178 227 267 312 356 454 534 681 712 908 1068 1157 1362 1816 2087 2136 2314 2724 2951 3471 4174 4628 5448 5902 6261 6942 8348 8853 9256 11804 12522 13884 16696 17706 20203 23608 25044 27131 27768 35412 40406 50088 54262 60609 70824 80812 81393 108524 121218 161624 162786 185743 217048 242436 262639 325572 371486 473749 484872 525278 557229 651144 742972 787917 947498 1050556 1114458 1421247 1485944 1575834 1894996 2101112 2228916 2414659 2842494 3151668 3789992 4457832 4829318 5684988 6158737 6303336 7243977 9658636 11369976 12317474 14487954 18476211 19317272 24634948 28975908 36952422 42163661 49269896 57951816 73904844 84327322 126490983 147809688 168654644 252981966 337309288 505963932 548127593 1011927864 1096255186 1644382779 2192510372 3288765558 4385020744 6577531116 13155062232