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102011212320 = 2535409151949
BaseRepresentation
bin101111100000001010…
…1111001001000100000
3100202022100002111212220
41133000111321020200
53132404332243240
6114510250151040
710240634666163
oct1370025711040
9322270074786
10102011212320
113a298740746
121792b422480
1398093b13c4
144d1a1d7ada
1529c0ab45d0
hex17c0579220

102011212320 has 96 divisors (see below), whose sum is σ = 321420052800. Its totient is φ = 27195816960.

The previous prime is 102011212313. The next prime is 102011212321. The reversal of 102011212320 is 23212110201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1020112123202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102011212320.

It is not an unprimeable number, because it can be changed into a prime (102011212321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1937706 + ... + 1989654.

It is an arithmetic number, because the mean of its divisors is an integer number (3348125550).

Almost surely, 2102011212320 is an apocalyptic number.

102011212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011212320 is an abundant number, since it is smaller than the sum of its proper divisors (219408840480).

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

102011212320 is a wasteful number, since it uses less digits than its factorization.

102011212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56058 (or 56050 counting only the distinct ones).

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

Adding to 102011212320 its reverse (23212110201), we get a palindrome (125223322521).

The spelling of 102011212320 in words is "one hundred two billion, eleven million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4091 8182 12273 16364 20455 24546 32728 40910 49092 51949 61365 65456 81820 98184 103898 122730 130912 155847 163640 196368 207796 245460 259745 311694 327280 392736 415592 490920 519490 623388 654560 779235 831184 981840 1038980 1246776 1558470 1662368 1963680 2077960 2493552 3116940 4155920 4987104 6233880 8311840 12467760 24935520 212523359 425046718 637570077 850093436 1062616795 1275140154 1700186872 2125233590 2550280308 3187850385 3400373744 4250467180 5100560616 6375700770 6800747488 8500934360 10201121232 12751401540 17001868720 20402242464 25502803080 34003737440 51005606160 102011212320