Search a number
-
+
106370130165 = 351313922917137
BaseRepresentation
bin110001100010000100…
…1110110000011110101
3101011120010011111001120
41203010021312003311
53220321223131130
6120511001014153
710453644121365
oct1430411660365
9334503144046
10106370130165
1141125190192
1218747184359
13a05248c130
14521109a9a5
152b785d5910
hex18c42760f5

106370130165 has 64 divisors (see below), whose sum is σ = 185419449600. Its totient is φ = 51760041984.

The previous prime is 106370130107. The next prime is 106370130169. The reversal of 106370130165 is 561031073601.

It is a happy number.

It is not a de Polignac number, because 106370130165 - 28 = 106370129909 is a prime.

It is a super-2 number, since 2×1063701301652 (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 (106370130169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6198477 + ... + 6215613.

It is an arithmetic number, because the mean of its divisors is an integer number (2897178900).

Almost surely, 2106370130165 is an apocalyptic number.

106370130165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106370130165 is a deficient number, since it is larger than the sum of its proper divisors (79049319435).

106370130165 is a wasteful number, since it uses less digits than its factorization.

106370130165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17526.

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 106370130165 in words is "one hundred six billion, three hundred seventy million, one hundred thirty thousand, one hundred sixty-five".

Divisors: 1 3 5 13 15 39 65 139 195 229 417 687 695 1145 1807 2085 2977 3435 5421 8931 9035 14885 17137 27105 31831 44655 51411 85685 95493 159155 222781 257055 413803 477465 668343 1113905 1241409 2069015 2382043 3341715 3924373 6207045 7146129 11773119 11910215 19621865 30966559 35730645 51016849 58865595 92899677 153050547 154832795 255084245 464498385 545487847 765252735 1636463541 2727439235 7091342011 8182317705 21274026033 35456710055 106370130165