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102132223031312 = 2423417417912647
BaseRepresentation
bin10111001110001110000010…
…110111111011100000010000
3111101121202010020010022112122
4113032032002313323200100
5101341313243044000222
61001114521234113412
730340544460646445
oct2716160267734020
9441552106108478
10102132223031312
112a5a703a357451
12b555aaaa1b868
1344cb047cb8586
141b313240c19cc
15bc1a6087ba42
hex5ce382dfb810

102132223031312 has 80 divisors (see below), whose sum is σ = 211549674454272. Its totient is φ = 47648006461440.

The previous prime is 102132223031299. The next prime is 102132223031383. The reversal of 102132223031312 is 213130322231201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111451373 + ... + 112364019.

Almost surely, 2102132223031312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102132223031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105774837227136).

102132223031312 is an abundant number, since it is smaller than the sum of its proper divisors (109417451422960).

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

102132223031312 is a wasteful number, since it uses less digits than its factorization.

102132223031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920136 (or 920130 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 102132223031312 its reverse (213130322231201), we get a palindrome (315262545262513).

The spelling of 102132223031312 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twenty-three million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 368 656 943 1886 3772 7417 7544 14834 15088 29668 59336 118672 170591 304097 341182 608194 682364 912647 1216388 1364728 1825294 2432776 2729456 3650588 4865552 6994231 7301176 13988462 14602352 20990881 27976924 37418527 41981762 55953848 74837054 83963524 111907696 149674108 167927048 299348216 335854096 598696432 860626121 1721252242 3442504484 6769102799 6885008968 13538205598 13770017936 27076411196 54152822392 108305644784 155689364377 277533214759 311378728754 555066429518 622757457508 1110132859036 1245514915016 2220265718072 2491029830032 4440531436144 6383263939457 12766527878914 25533055757828 51066111515656 102132223031312