Search a number
-
+
106356365511 = 3116737478391
BaseRepresentation
bin110001100001101010…
…1010101100011000111
3101011112011021011111120
41203003111111203013
53220304212144021
6120505350005023
710453416122244
oct1430325254307
9334464234446
10106356365511
1141118439640
1218742646773
13a04c67cb76
14520d3165cb
152b772b72c6
hex18c35558c7

106356365511 has 16 divisors (see below), whose sum is σ = 154723454208. Its totient is φ = 64448700800.

The previous prime is 106356365497. The next prime is 106356365567. The reversal of 106356365511 is 115563653601.

It is not a de Polignac number, because 106356365511 - 27 = 106356365383 is a prime.

It is a super-2 number, since 2×1063563655112 (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 (106356365581) 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, 16875 + ... + 461516.

It is an arithmetic number, because the mean of its divisors is an integer number (9670215888).

Almost surely, 2106356365511 is an apocalyptic number.

106356365511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106356365511 is a deficient number, since it is larger than the sum of its proper divisors (48367088697).

106356365511 is a wasteful number, since it uses less digits than its factorization.

106356365511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485142.

The product of its (nonzero) digits is 243000, while the sum is 42.

The spelling of 106356365511 in words is "one hundred six billion, three hundred fifty-six million, three hundred sixty-five thousand, five hundred eleven".

Divisors: 1 3 11 33 6737 20211 74107 222321 478391 1435173 5262301 15786903 3222920167 9668760501 35452121837 106356365511