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112366661238 = 233131959142789
BaseRepresentation
bin110100010100110010…
…0110010111001110110
3101202001000200211021000
41220221210302321312
53320111331124423
6123342011304130
711055356601306
oct1505144627166
9352030624230
10112366661238
1143722061797
121993b44b046
13a799911c80
14561d645606
152dc9c85843
hex1a29932e76

112366661238 has 128 divisors (see below), whose sum is σ = 287864640000. Its totient is φ = 32199265152.

The previous prime is 112366661237. The next prime is 112366661261. The reversal of 112366661238 is 832166663211.

It is a junction number, because it is equal to n+sod(n) for n = 112366661193 and 112366661202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112366661237) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 715548 + ... + 858336.

It is an arithmetic number, because the mean of its divisors is an integer number (2248942500).

Almost surely, 2112366661238 is an apocalyptic number.

112366661238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112366661238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143932320000).

112366661238 is an abundant number, since it is smaller than the sum of its proper divisors (175497978762).

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

112366661238 is a wasteful number, since it uses less digits than its factorization.

112366661238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142891 (or 142885 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 112366661238 in words is "one hundred twelve billion, three hundred sixty-six million, six hundred sixty-one thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 59 78 114 117 118 171 177 234 247 342 351 354 494 513 531 702 741 767 1026 1062 1121 1482 1534 1593 2223 2242 2301 3186 3363 4446 4602 6669 6726 6903 10089 13338 13806 14573 20178 20709 29146 30267 41418 43719 60534 87438 131157 142789 262314 285578 393471 428367 786942 856734 1285101 1856257 2570202 2712991 3712514 3855303 5425982 5568771 7710606 8138973 8424551 11137542 16277946 16706313 16849102 24416919 25273653 33412626 35268883 48833838 50118939 50547306 70537766 73250757 75820959 100237878 105806649 109519163 146501514 151641918 160066469 211613298 219038326 227462877 317419947 320132938 328557489 454925754 480199407 634839894 657114978 952259841 960398814 985672467 1440598221 1904519682 1971344934 2080864097 2881196442 2957017401 4161728194 4321794663 5914034802 6242592291 8643589326 12485184582 18727776873 37455553746 56183330619 112366661238