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2131005313215 = 3252937266316573
BaseRepresentation
bin11111000000101001110…
…100001001000010111111
321112201111102110022001200
4133000221310021002333
5234403244330010330
64310545331310543
7306650204202522
oct37005164110277
97481442408050
102131005313215
11751832a42689
122a500544b453
13125c507b659c
14751d968abb9
153a674221a60
hex1f029d090bf

2131005313215 has 96 divisors (see below), whose sum is σ = 3926096853120. Its totient is φ = 1067221951488.

The previous prime is 2131005313181. The next prime is 2131005313231. The reversal of 2131005313215 is 5123135001312.

2131005313215 is a `hidden beast` number, since 2 + 1 + 3 + 100 + 531 + 3 + 21 + 5 = 666.

It is not a de Polignac number, because 2131005313215 - 211 = 2131005311167 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128574669 + ... + 128591241.

It is an arithmetic number, because the mean of its divisors is an integer number (40896842220).

Almost surely, 22131005313215 is an apocalyptic number.

2131005313215 is a deficient number, since it is larger than the sum of its proper divisors (1795091539905).

2131005313215 is a wasteful number, since it uses less digits than its factorization.

2131005313215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19313 (or 19310 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 2131005313215 in words is "two trillion, one hundred thirty-one billion, five million, three hundred thirteen thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 29 37 45 87 111 145 185 261 333 435 555 1073 1305 1665 2663 3219 5365 7989 9657 13315 16095 16573 23967 39945 48285 49719 77227 82865 98531 119835 149157 231681 248595 295593 386135 480617 492655 613201 695043 745785 886779 1158405 1441851 1477965 1839603 2403085 2857399 3066005 3475215 4325553 4433895 5518809 7209255 8572197 9198015 14286995 17782829 21627765 25716591 27594045 42860985 44133899 53348487 88914145 128582955 132401697 160045461 220669495 266742435 397205091 662008485 800227305 1279883071 1632954263 1986025455 3839649213 4898862789 6399415355 8164771315 11518947639 14696588367 19198246065 24494313945 47355673627 57594738195 73482941835 142067020881 236778368135 426201062643 710335104405 2131005313215