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120115155096 = 23339716335171
BaseRepresentation
bin110111111011101101…
…0111101000010011000
3102111001000212002121000
41233313122331002120
53431443434430341
6131102524345000
711451364654356
oct1576732750230
9374030762530
10120115155096
1146a38967922
121b3423a5160
13b433005c91
145b567607d6
1531d01508b6
hex1bf76bd098

120115155096 has 128 divisors (see below), whose sum is σ = 339170630400. Its totient is φ = 39381396480.

The previous prime is 120115155031. The next prime is 120115155157. The reversal of 120115155096 is 690551511021.

120115155096 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 515 + 50 + 96 = 666.

It is a super-2 number, since 2×1201151550962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120115155096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3397591 + ... + 3432761.

It is an arithmetic number, because the mean of its divisors is an integer number (2649770550).

Almost surely, 2120115155096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120115155096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169585315200).

120115155096 is an abundant number, since it is smaller than the sum of its proper divisors (219055475304).

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

120115155096 is a wasteful number, since it uses less digits than its factorization.

120115155096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35446 (or 35436 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 36.

The spelling of 120115155096 in words is "one hundred twenty billion, one hundred fifteen million, one hundred fifty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 163 194 216 291 326 388 489 582 652 776 873 978 1164 1304 1467 1746 1956 2328 2619 2934 3492 3912 4401 5238 5868 6984 8802 10476 11736 15811 17604 20952 31622 35171 35208 47433 63244 70342 94866 105513 126488 140684 142299 189732 211026 281368 284598 316539 379464 422052 426897 569196 633078 844104 853794 949617 1138392 1266156 1707588 1899234 2532312 3411587 3415176 3798468 5732873 6823174 7596936 10234761 11465746 13646348 17198619 20469522 22931492 27292696 30704283 34397238 40939044 45862984 51595857 61408566 68794476 81878088 92112849 103191714 122817132 137588952 154787571 184225698 206383428 245634264 309575142 368451396 412766856 556088681 619150284 736902792 1112177362 1238300568 1668266043 2224354724 3336532086 4448709448 5004798129 6673064172 10009596258 13346128344 15014394387 20019192516 30028788774 40038385032 60057577548 120115155096