Search a number
-
+
102313113102 = 23271253931531
BaseRepresentation
bin101111101001001010…
…1100011011000001110
3100210002101011122220100
41133102111203120032
53134014124104402
6115000233031530
710251262053324
oct1372225433016
9323071148810
10102313113102
113a4330a3222
12179b45555a6
139856ac6415
144d48343d14
1529dc34b71c
hex17d256360e

102313113102 has 48 divisors (see below), whose sum is σ = 224896314240. Its totient is φ = 33609718800.

The previous prime is 102313113079. The next prime is 102313113121. The reversal of 102313113102 is 201311313201.

102313113102 is a `hidden beast` number, since 10 + 2 + 31 + 311 + 310 + 2 = 666.

It is a super-2 number, since 2×1023131131022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3229077 + ... + 3260607.

It is an arithmetic number, because the mean of its divisors is an integer number (4685339880).

Almost surely, 2102313113102 is an apocalyptic number.

102313113102 is an abundant number, since it is smaller than the sum of its proper divisors (122583201138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102313113102 is a wasteful number, since it uses less digits than its factorization.

102313113102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34149 (or 34146 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102313113102 its reverse (201311313201), we get a palindrome (303624426303).

The spelling of 102313113102 in words is "one hundred two billion, three hundred thirteen million, one hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 2539 5078 7617 15234 22851 31531 45702 63062 94593 180269 189186 283779 360538 540807 567558 1081614 1622421 2238701 3244842 4477402 6716103 13432206 20148309 40296618 80057209 160114418 240171627 480343254 720514881 1441029762 5684061839 11368123678 17052185517 34104371034 51156556551 102313113102