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102130051452 = 223112138960793
BaseRepresentation
bin101111100011101101…
…1001110100101111100
3100202121121201011112020
41133013123032211330
53133130243121302
6114530133240140
710243610054022
oct1370733164574
9322547634466
10102130051452
113a34982a300
1217963193050
139827bbcb10
144d2bcd0712
1529cb23aebc
hex17c76ce97c

102130051452 has 144 divisors (see below), whose sum is σ = 285260038560. Its totient is φ = 28246394880.

The previous prime is 102130051417. The next prime is 102130051453. The reversal of 102130051452 is 254150031201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102130051453) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1649568 + ... + 1710360.

It is an arithmetic number, because the mean of its divisors is an integer number (1980972490).

Almost surely, 2102130051452 is an apocalyptic number.

102130051452 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 102130051452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142630019280).

102130051452 is an abundant number, since it is smaller than the sum of its proper divisors (183129987108).

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

102130051452 is a wasteful number, since it uses less digits than its factorization.

102130051452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60924 (or 60911 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 102130051452 its reverse (254150031201), we get a palindrome (356280082653).

The spelling of 102130051452 in words is "one hundred two billion, one hundred thirty million, fifty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 89 121 132 143 156 178 242 267 286 356 363 429 484 534 572 726 858 979 1068 1157 1452 1573 1716 1958 2314 2937 3146 3471 3916 4628 4719 5874 6292 6942 9438 10769 11748 12727 13884 18876 21538 25454 32307 38181 43076 50908 60793 64614 76362 121586 129228 139997 152724 182379 243172 279994 364758 419991 559988 668723 729516 790309 839982 1337446 1580618 1679964 2006169 2370927 2674892 3161236 4012338 4741854 5410577 7355953 8024676 8693399 9483708 10821154 14711906 16231731 17386798 21642308 22067859 26080197 29423812 32463462 34773596 44135718 52160394 59516347 64926924 70337501 88271436 95627389 104320788 119032694 140675002 178549041 191254778 211012503 238065388 281350004 286882167 357098082 382509556 422025006 573764334 654679817 714196164 773712511 844050012 1147528668 1309359634 1547425022 1964039451 2321137533 2618719268 3094850044 3928078902 4642275066 7856157804 8510837621 9284550132 17021675242 25532512863 34043350484 51065025726 102130051452