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107180277242274 = 23317217875358889
BaseRepresentation
bin11000010111101011011010…
…010110100001100110100010
3112001111100000210201021211000
4120113223122112201212202
5103022020201433223044
61015541534543132430
731401343120526205
oct3027533226414642
9461440023637730
10107180277242274
113117299a356945
1210030309ba4116
1347a60979761a2
141c677a59b193c
15c5d011bdcd69
hex617ada5a19a2

107180277242274 has 64 divisors (see below), whose sum is σ = 252200509891200. Its totient is φ = 33623635382784.

The previous prime is 107180277242251. The next prime is 107180277242317. The reversal of 107180277242274 is 472242772081701.

It is a happy number.

107180277242274 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 80 + 2 + 7 + 72 + 422 + 74 = 666.

It is a super-2 number, since 2×1071802772422742 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 107180277242274.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17321022 + ... + 22679910.

It is an arithmetic number, because the mean of its divisors is an integer number (3940632967050).

Almost surely, 2107180277242274 is an apocalyptic number.

107180277242274 is an abundant number, since it is smaller than the sum of its proper divisors (145020232648926).

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

107180277242274 is a wasteful number, since it uses less digits than its factorization.

107180277242274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380704 (or 5380698 counting only the distinct ones).

The product of its (nonzero) digits is 4917248, while the sum is 54.

The spelling of 107180277242274 in words is "one hundred seven trillion, one hundred eighty billion, two hundred seventy-seven million, two hundred forty-two thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 21787 43574 65361 130722 196083 370379 392166 588249 740758 1111137 1176498 2222274 3333411 5358889 6666822 10000233 10717778 16076667 20000466 32153334 48230001 91101113 96460002 144690003 182202226 273303339 289380006 546606678 819910017 1639820034 2459730051 4919460102 116754114643 233508229286 350262343929 700524687858 1050787031787 1984819948931 2101574063574 3152361095361 3969639897862 5954459846793 6304722190722 11908919693586 17863379540379 35726759080758 53590138621137 107180277242274