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112900032036 = 223411216972
BaseRepresentation
bin110100100100101011…
…1011100011000100100
3101210102012022212110000
41221021113130120210
53322204402011121
6123510543301300
711104524303231
oct1511127343044
9353365285400
10112900032036
1143976141100
1219a69baa830
13a85327c3ac
145670406788
152e0b9e1526
hex1a495dc624

112900032036 has 135 divisors (see below), whose sum is σ = 324604645057. Its totient is φ = 34191970560.

The previous prime is 112900032019. The next prime is 112900032043. The reversal of 112900032036 is 630230009211.

The square root of 112900032036 is 336006.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 108682308900 + 4217723136 = 329670^2 + 64944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 44 ways as a sum of consecutive naturals, for example, 66528340 + ... + 66530036.

Almost surely, 2112900032036 is an apocalyptic number.

112900032036 is the 336006-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112900032036

112900032036 is an abundant number, since it is smaller than the sum of its proper divisors (211704613021).

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

112900032036 is an equidigital number, since it uses as much as digits as its factorization.

112900032036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 1713 counting only the distinct ones).

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

The spelling of 112900032036 in words is "one hundred twelve billion, nine hundred million, thirty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1697 1782 2178 3267 3394 3564 4356 5091 6534 6788 9801 10182 13068 15273 18667 19602 20364 30546 37334 39204 45819 56001 61092 74668 91638 112002 137457 168003 183276 205337 224004 274914 336006 410674 504009 549828 616011 672012 821348 1008018 1232022 1512027 1848033 2016036 2464044 2879809 3024054 3696066 5544099 5759618 6048108 7392132 8639427 11088198 11519236 16632297 17278854 22176396 25918281 31677899 33264594 34557708 51836562 63355798 66529188 77754843 95033697 103673124 126711596 155509686 190067394 233264529 285101091 311019372 348456889 380134788 466529058 570202182 696913778 855303273 933058116 1045370667 1140404364 1393827556 1710606546 2090741334 2565909819 3136112001 3421213092 4181482668 5131819638 6272224002 9408336003 10263639276 12544448004 18816672006 28225008009 37633344012 56450016018 112900032036