Search a number
-
+
100775260031 = 2772933133967
BaseRepresentation
bin101110111011010101…
…1000110111101111111
3100122010012102122002012
41131312223012331333
53122341431310111
6114143455321435
710165206401555
oct1356653067577
9318105378065
10100775260031
1139814009476
121764552027b
13967030c8a4
144c3ddc9bd5
15294c32648b
hex1776ac6f7f

100775260031 has 16 divisors (see below), whose sum is σ = 101834148864. Its totient is φ = 99723896064.

The previous prime is 100775260021. The next prime is 100775260063. The reversal of 100775260031 is 130062577001.

It is a cyclic number.

It is not a de Polignac number, because 100775260031 - 26 = 100775259967 is a prime.

It is a super-2 number, since 2×1007752600312 (a number of 23 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 100775260031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100775260021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25401410 + ... + 25405376.

It is an arithmetic number, because the mean of its divisors is an integer number (6364634304).

Almost surely, 2100775260031 is an apocalyptic number.

100775260031 is a deficient number, since it is larger than the sum of its proper divisors (1058888833).

100775260031 is a wasteful number, since it uses less digits than its factorization.

100775260031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850.

The product of its (nonzero) digits is 8820, while the sum is 32.

The spelling of 100775260031 in words is "one hundred billion, seven hundred seventy-five million, two hundred sixty thousand, thirty-one".

Divisors: 1 277 293 313 3967 81161 86701 91709 1098859 1162331 1241671 25403393 321965687 343942867 363809603 100775260031