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107115074181041 = 37149383389130411
BaseRepresentation
bin11000010110101110101011…
…111100100101011110110001
3112001021002201200122120212012
4120112232223330211132301
5103014433132442243131
61015451552531212305
731363544251616603
oct3026565374453661
9461232650576765
10107115074181041
113114827a988983
121001b751747095
13479cba62a0954
141c6457c0bd173
15c5b4977c252b
hex616babf257b1

107115074181041 has 32 divisors (see below), whose sum is σ = 111323856384000. Its totient is φ = 102984105127680.

The previous prime is 107115074181013. The next prime is 107115074181079. The reversal of 107115074181041 is 140181470511701.

It is not a de Polignac number, because 107115074181041 - 26 = 107115074180977 is a prime.

It is a super-2 number, since 2×1071150741810412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107115074181041.

It is not an unprimeable number, because it can be changed into a prime (107115074781041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821300126 + ... + 821430536.

It is an arithmetic number, because the mean of its divisors is an integer number (3478870512000).

Almost surely, 2107115074181041 is an apocalyptic number.

It is an amenable number.

107115074181041 is a deficient number, since it is larger than the sum of its proper divisors (4208782202959).

107115074181041 is a wasteful number, since it uses less digits than its factorization.

107115074181041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131369.

The product of its (nonzero) digits is 31360, while the sum is 41.

The spelling of 107115074181041 in words is "one hundred seven trillion, one hundred fifteen billion, seventy-four million, one hundred eighty-one thousand, forty-one".

Divisors: 1 37 149 383 389 5513 14171 14393 57067 57961 130411 148987 2111479 2144557 4825207 5512519 19431239 22199063 49947413 50729879 718955843 821365331 1848054281 1877005523 7442164537 7558751971 19429543657 275360087869 279673822927 718893115309 2895002004893 107115074181041