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12313200103320 = 2335367705739619
BaseRepresentation
bin1011001100101110001111…
…1010110000111110011000
31121121010112002022212011010
42303023203322300332120
53103214413211301240
642104334523133520
72410412401660164
oct263134372607630
947533462285133
1012313200103320
113a17aa94aa0a6
12146a4699742a0
136b418c1b24cc
14307d67c97ca4
151654643ab280
hexb32e3eb0f98

12313200103320 has 128 divisors (see below), whose sum is σ = 37046436940800. Its totient is φ = 3274026448896.

The previous prime is 12313200103307. The next prime is 12313200103333. The reversal of 12313200103320 is 2330100231321.

It is an interprime number because it is at equal distance from previous prime (12313200103307) and next prime (12313200103333).

It is a super-2 number, since 2×123132001033202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 310770471 + ... + 310810089.

It is an arithmetic number, because the mean of its divisors is an integer number (289425288600).

Almost surely, 212313200103320 is an apocalyptic number.

12313200103320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313200103320 is an abundant number, since it is smaller than the sum of its proper divisors (24733236837480).

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

12313200103320 is a wasteful number, since it uses less digits than its factorization.

12313200103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47057 (or 47053 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12313200103320 its reverse (2330100231321), we get a palindrome (14643300334641).

The spelling of 12313200103320 in words is "twelve trillion, three hundred thirteen billion, two hundred million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 367 734 1101 1468 1835 2202 2936 3670 4404 5505 7057 7340 8808 11010 14114 14680 21171 22020 28228 35285 39619 42342 44040 56456 70570 79238 84684 105855 118857 141140 158476 169368 198095 211710 237714 282280 316952 396190 423420 475428 594285 792380 846840 950856 1188570 1584760 2377140 2589919 4754280 5179838 7769757 10359676 12949595 14540173 15539514 20719352 25899190 29080346 31079028 38848785 43620519 51798380 58160692 62158056 72700865 77697570 87241038 103596760 116321384 145401730 155395140 174482076 218102595 279591283 290803460 310790280 348964152 436205190 559182566 581606920 838773849 872410380 1118365132 1397956415 1677547698 1744820760 2236730264 2795912830 3355095396 4193869245 5591825660 6710190792 8387738490 11183651320 16775476980 33550953960 102610000861 205220001722 307830002583 410440003444 513050004305 615660005166 820880006888 1026100008610 1231320010332 1539150012915 2052200017220 2462640020664 3078300025830 4104400034440 6156600051660 12313200103320