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105215250130155 = 32511439484182371
BaseRepresentation
bin10111111011000101010101…
…100110111110010011101011
3111210112110221200112012221200
4113323011111212332103223
5102242321313013131110
61011435115120335243
731106356660624314
oct2773052546762353
9453473850465850
10105215250130155
113058559a819390
12b973506474523
1346929a8b32119
141bda633bb160b
15c26d541d76c0
hex5fb1559be4eb

105215250130155 has 48 divisors (see below), whose sum is σ = 199405668084480. Its totient is φ = 50897250734400.

The previous prime is 105215250130153. The next prime is 105215250130229. The reversal of 105215250130155 is 551031052512501.

105215250130155 is a `hidden beast` number, since 1 + 0 + 5 + 21 + 52 + 501 + 30 + 1 + 55 = 666.

It is not a de Polignac number, because 105215250130155 - 21 = 105215250130153 is a prime.

It is a super-2 number, since 2×1052152501301552 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105215250130153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241873881 + ... + 242308490.

It is an arithmetic number, because the mean of its divisors is an integer number (4154284751760).

Almost surely, 2105215250130155 is an apocalyptic number.

105215250130155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105215250130155 is a deficient number, since it is larger than the sum of its proper divisors (94190417954325).

105215250130155 is a wasteful number, since it uses less digits than its factorization.

105215250130155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484182832 (or 484182829 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 36.

The spelling of 105215250130155 in words is "one hundred five trillion, two hundred fifteen billion, two hundred fifty million, one hundred thirty thousand, one hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 439 495 1317 2195 3951 4829 6585 14487 19755 24145 43461 72435 217305 484182371 1452547113 2420911855 4357641339 5326006081 7262735565 15978018243 21788206695 26630030405 47934054729 79890091215 212556060869 239670273645 637668182607 1062780304345 1913004547821 2338116669559 3188340913035 7014350008677 9565022739105 11690583347795 21043050026031 35071750043385 105215250130155