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102122100132 = 223139750313417
BaseRepresentation
bin101111100011011110…
…0111001010110100100
3100202121001202012100220
41133012330321112210
53133121224201012
6114525251004340
710243452346233
oct1370674712644
9322531665326
10102122100132
113a345299368
12179605996b0
1398263678b0
144d2ac20b1a
1529ca6ba08c
hex17c6f395a4

102122100132 has 96 divisors (see below), whose sum is σ = 259794807552. Its totient is φ = 31034105856.

The previous prime is 102122100121. The next prime is 102122100151. The reversal of 102122100132 is 231001221201.

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, 7604688 + ... + 7618104.

It is an arithmetic number, because the mean of its divisors is an integer number (2706195912).

Almost surely, 2102122100132 is an apocalyptic number.

102122100132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129897403776).

102122100132 is an abundant number, since it is smaller than the sum of its proper divisors (157672707420).

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

102122100132 is a wasteful number, since it uses less digits than its factorization.

102122100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14037 (or 14035 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102122100132 its reverse (231001221201), we get a palindrome (333123321333).

The spelling of 102122100132 in words is "one hundred two billion, one hundred twenty-two million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 194 291 388 503 582 1006 1164 1261 1509 2012 2522 3018 3783 5044 6036 6539 7566 13078 13417 15132 19617 26156 26834 39234 40251 48791 53668 78468 80502 97582 146373 161004 174421 195164 292746 348842 523263 585492 634283 697684 1046526 1268566 1301449 1902849 2093052 2537132 2602898 3805698 3904347 5205796 6748751 7611396 7808694 13497502 15617388 16918837 20246253 26995004 33837674 40492506 50756511 67675348 80985012 87733763 101513022 175467526 203026044 263201289 350935052 526402578 654628847 1052805156 1309257694 1963886541 2618515388 3927773082 7855546164 8510175011 17020350022 25530525033 34040700044 51061050066 102122100132