Search a number
-
+
107077331823 = 37112915984077
BaseRepresentation
bin110001110111001001…
…1100110101101101111
3101020101101220001100120
41203232103212231233
53223243244104243
6121105102500023
710510322205660
oct1435623465557
9336341801316
10107077331823
11414583a9270
1218903b94613
13a135b50457
14527ad8b367
152bba72bc83
hex18ee4e6b6f

107077331823 has 32 divisors (see below), whose sum is σ = 184136578560. Its totient is φ = 53706495360.

The previous prime is 107077331821. The next prime is 107077331827. The reversal of 107077331823 is 328133770701.

It is not a de Polignac number, because 107077331823 - 21 = 107077331821 is a prime.

It is a super-2 number, since 2×1070773318232 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107077331821) by changing a digit.

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, 7985340 + ... + 7998737.

It is an arithmetic number, because the mean of its divisors is an integer number (5754268080).

Almost surely, 2107077331823 is an apocalyptic number.

107077331823 is a deficient number, since it is larger than the sum of its proper divisors (77059246737).

107077331823 is a wasteful number, since it uses less digits than its factorization.

107077331823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15984127.

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 107077331823 in words is "one hundred seven billion, seventy-seven million, three hundred thirty-one thousand, eight hundred twenty-three".

Divisors: 1 3 7 11 21 29 33 77 87 203 231 319 609 957 2233 6699 15984077 47952231 111888539 175824847 335665617 463538233 527474541 1230773929 1390614699 3244767631 3692321787 5098920563 9734302893 15296761689 35692443941 107077331823