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2131100002305 = 335171579076521
BaseRepresentation
bin11111000000101111011…
…101010110100000000001
321112201202000122000002000
4133000233131112200001
5234403443100033210
64311002553014213
7306652434065151
oct37005735264001
97481660560060
102131100002305
11751881436a2a
122a50310b4369
13125c672ba931
1475208098761
153a67c6c7ac0
hex1f02f756801

2131100002305 has 128 divisors (see below), whose sum is σ = 4042103938560. Its totient is φ = 1061580349440.

The previous prime is 2131100002303. The next prime is 2131100002379. The reversal of 2131100002305 is 5032000011312.

It is not a de Polignac number, because 2131100002305 - 21 = 2131100002303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2131100002303) 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 127 ways as a sum of consecutive naturals, for example, 326802445 + ... + 326808965.

It is an arithmetic number, because the mean of its divisors is an integer number (31578937020).

Almost surely, 22131100002305 is an apocalyptic number.

It is an amenable number.

2131100002305 is a deficient number, since it is larger than the sum of its proper divisors (1911003936255).

2131100002305 is a wasteful number, since it uses less digits than its factorization.

2131100002305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 2131100002305 its reverse (5032000011312), we get a palindrome (7163100013617).

The spelling of 2131100002305 in words is "two trillion, one hundred thirty-one billion, one hundred million, two thousand, three hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 157 255 459 471 765 785 907 1413 2295 2355 2669 2721 4239 4535 6521 7065 8007 8163 13345 13605 15419 19563 21195 24021 24489 32605 40035 40815 46257 58689 72063 77095 97815 110857 120105 122445 138771 142399 176067 231285 293445 332571 360315 416313 427197 554285 693855 711995 880335 997713 1023797 1281591 1662855 2081565 2135985 2420783 2993139 3071391 3844773 4988565 5118985 5914547 6407955 7262349 9214173 12103915 14965695 15356955 17404549 17743641 19223865 21787047 27642519 29572735 36311745 46070865 52213647 53230923 65361141 87022745 88718205 100547299 108935235 138212595 156640941 159692769 261068235 266154615 301641897 326805705 469922823 502736495 783204705 798463845 904925691 928583879 1508209485 2349614115 2714777073 2785751637 4524628455 4642919395 8357254911 13573885365 13928758185 15785925943 25071764733 41786274555 47357777829 78929629715 125358823665 142073333487 236788889145 426220000461 710366667435 2131100002305