Search a number
-
+
102002101122 = 23194576592971
BaseRepresentation
bin101111011111111001…
…1001000101110000010
3100202021200221121200010
41132333303020232002
53132400014213442
6114505323005350
710240464361005
oct1367763105602
9322250847603
10102002101122
113a293588329
1217928369856
13980754126c
144d18d0553c
1529bedb4b9c
hex17bfcc8b82

102002101122 has 64 divisors (see below), whose sum is σ = 215610278400. Its totient is φ = 32081132160.

The previous prime is 102002101087. The next prime is 102002101189. The reversal of 102002101122 is 221101200201.

It is a junction number, because it is equal to n+sod(n) for n = 102002101098 and 102002101107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34331097 + ... + 34334067.

It is an arithmetic number, because the mean of its divisors is an integer number (3368910600).

Almost surely, 2102002101122 is an apocalyptic number.

102002101122 is an abundant number, since it is smaller than the sum of its proper divisors (113608177278).

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

102002101122 is a wasteful number, since it uses less digits than its factorization.

102002101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102002101122 its reverse (221101200201), we get a palindrome (323103301323).

The spelling of 102002101122 in words is "one hundred two billion, two million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 19 38 57 114 457 659 914 1318 1371 1977 2742 2971 3954 5942 8683 8913 12521 17366 17826 25042 26049 37563 52098 56449 75126 112898 169347 301163 338694 602326 903489 1357747 1806978 1957889 2715494 3915778 4073241 5722097 5873667 8146482 11444194 11747334 17166291 25797193 34332582 37199891 51594386 74399782 77391579 111599673 154783158 223199346 894755273 1789510546 2684265819 5368531638 17000350187 34000700374 51001050561 102002101122