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103146042510126 = 232711105499705409
BaseRepresentation
bin10111011100111110001111…
…001110010100101100101110
3111112012122222001100000002100
4113130332033032110230232
5102004421043340311001
61003212345432035530
730504025042225260
oct2734761716245456
9445178861300070
10103146042510126
112a957a99a92310
12b69a488b32ba6
134572826368ac5
141b6841ba4db30
15bdd0ea468586
hex5dcf8f394b2e

103146042510126 has 96 divisors (see below), whose sum is σ = 278631306720000. Its totient is φ = 26790887946240.

The previous prime is 103146042510061. The next prime is 103146042510143. The reversal of 103146042510126 is 621015240641301.

103146042510126 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 4 + 604 + 25 + 1 + 0 + 1 + 26 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145868910 + ... + 146574318.

It is an arithmetic number, because the mean of its divisors is an integer number (2902409445000).

Almost surely, 2103146042510126 is an apocalyptic number.

103146042510126 is an abundant number, since it is smaller than the sum of its proper divisors (175485264209874).

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

103146042510126 is a wasteful number, since it uses less digits than its factorization.

103146042510126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810934 (or 810931 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 103146042510126 in words is "one hundred three trillion, one hundred forty-six billion, forty-two million, five hundred ten thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 105499 210998 316497 632994 705409 738493 949491 1160489 1410818 1476986 1898982 2116227 2215479 2320978 3481467 4232454 4430958 4937863 6348681 6646437 6962934 7759499 8123423 9875726 10444401 12697362 13292874 14813589 15518998 16246846 20888802 23278497 24370269 29627178 44440767 46556994 48740538 54316493 69835491 73110807 88881534 108632986 139670982 146221614 162949479 325898958 488848437 977696874 74419944091 148839888182 223259832273 446519664546 520939608637 669779496819 818619385001 1041879217274 1339558993638 1562818825911 1637238770002 2455858155003 3125637651822 4688456477733 4911716310006 5730335695007 7367574465009 9376912955466 11460671390014 14735148930018 17191007085021 34382014170042 51573021255063 103146042510126