Search a number
-
+
106813612059 = 37113114916019
BaseRepresentation
bin110001101111010010…
…1100110000000011011
3101012201000122200211220
41203132211212000123
53222223241041214
6121023002223123
710500640502460
oct1433645460033
9335630580756
10106813612059
1141332554750
121884b7b4aa3
13a0c331605b
145253d3d667
152ba24d79a9
hex18de96601b

106813612059 has 32 divisors (see below), whose sum is σ = 183288053760. Its totient is φ = 53697664800.

The previous prime is 106813612057. The next prime is 106813612117. The reversal of 106813612059 is 950216318601.

It is not a de Polignac number, because 106813612059 - 21 = 106813612057 is a prime.

It is a super-2 number, since 2×1068136120592 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106813612059.

It is not an unprimeable number, because it can be changed into a prime (106813612057) 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, 7450849 + ... + 7465170.

It is an arithmetic number, because the mean of its divisors is an integer number (5727751680).

Almost surely, 2106813612059 is an apocalyptic number.

106813612059 is a deficient number, since it is larger than the sum of its proper divisors (76474441701).

106813612059 is a wasteful number, since it uses less digits than its factorization.

106813612059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14916071.

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 106813612059 in words is "one hundred six billion, eight hundred thirteen million, six hundred twelve thousand, fifty-nine".

Divisors: 1 3 7 11 21 31 33 77 93 217 231 341 651 1023 2387 7161 14916019 44748057 104412133 164076209 313236399 462396589 492228627 1148533463 1387189767 3236776123 3445600389 5086362479 9710328369 15259087437 35604537353 106813612059