Search a number
-
+
102312043110120 = 23352339079487991
BaseRepresentation
bin10111010000110101100000…
…111111000101111011101000
3111102020221021012022210022110
4113100311200333011323220
5101402240031014010440
61001333300450322320
730356541543260124
oct2720654077057350
9442227235283273
10102312043110120
112a666326080128
12b5849142893a0
134511ca4585a7c
141b39d02044584
15bc6587395080
hex5d0d60fc5ee8

102312043110120 has 128 divisors (see below), whose sum is σ = 320363188439040. Its totient is φ = 26090302613760.

The previous prime is 102312043110103. The next prime is 102312043110181. The reversal of 102312043110120 is 21011340213201.

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, 6039325 + ... + 15527315.

It is an arithmetic number, because the mean of its divisors is an integer number (2502837409680).

Almost surely, 2102312043110120 is an apocalyptic number.

102312043110120 is a gapful number since it is divisible by the number (10) 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 102312043110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160181594219520).

102312043110120 is an abundant number, since it is smaller than the sum of its proper divisors (218051145328920).

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

102312043110120 is a wasteful number, since it uses less digits than its factorization.

102312043110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9491935 (or 9491931 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102312043110120 its reverse (21011340213201), we get a palindrome (123323383323321).

The spelling of 102312043110120 in words is "one hundred two trillion, three hundred twelve billion, forty-three million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 3907 7814 11721 15628 19535 23442 31256 39070 46884 58605 78140 89861 93768 117210 156280 179722 234420 269583 359444 449305 468840 539166 718888 898610 1078332 1347915 1797220 2156664 2695830 3594440 5391660 9487991 10783320 18975982 28463973 37951964 47439955 56927946 75903928 94879910 113855892 142319865 189759820 218223793 227711784 284639730 379519640 436447586 569279460 654671379 872895172 1091118965 1138558920 1309342758 1745790344 2182237930 2618685516 3273356895 4364475860 5237371032 6546713790 8728951720 13093427580 26186855160 37069580837 74139161674 111208742511 148278323348 185347904185 222417485022 296556646696 370695808370 444834970044 556043712555 741391616740 852600359251 889669940088 1112087425110 1482783233480 1705200718502 2224174850220 2557801077753 3410401437004 4263001796255 4448349700440 5115602155506 6820802874008 8526003592510 10231204311012 12789005388765 17052007185020 20462408622024 25578010777530 34104014370040 51156021555060 102312043110120