Search a number
-
+
100521970705 = 5138917376313
BaseRepresentation
bin101110110011110010…
…0111000110000010001
3100121110112211012110001
41131213210320300101
53121332111030310
6114102410410001
710156012436662
oct1354744706021
9317415735401
10100521970705
11396a4039452
1217594730901
13962c9b7c50
144c184d5369
152934e9293a
hex1767938c11

100521970705 has 16 divisors (see below), whose sum is σ = 131364933840. Its totient is φ = 73397541888.

The previous prime is 100521970691. The next prime is 100521970739. The reversal of 100521970705 is 507079125001.

It is a Cunningham number, because it is equal to 3170522+1.

It can be written as a sum of positive squares in 8 ways, for example, as 25909409296 + 74612561409 = 160964^2 + 273153^2 .

It is a cyclic number.

It is not a de Polignac number, because 100521970705 - 215 = 100521937937 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8682372 + ... + 8693941.

It is an arithmetic number, because the mean of its divisors is an integer number (8210308365).

Almost surely, 2100521970705 is an apocalyptic number.

It is an amenable number.

100521970705 is a deficient number, since it is larger than the sum of its proper divisors (30842963135).

100521970705 is a wasteful number, since it uses less digits than its factorization.

100521970705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17376420.

The product of its (nonzero) digits is 22050, while the sum is 37.

The spelling of 100521970705 in words is "one hundred billion, five hundred twenty-one million, nine hundred seventy thousand, seven hundred five".

Divisors: 1 5 13 65 89 445 1157 5785 17376313 86881565 225892069 1129460345 1546491857 7732459285 20104394141 100521970705