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12315412611300 = 2235279195183909
BaseRepresentation
bin1011001100110110011111…
…0010110100000011100100
31121121100020021112220112010
42303031213302310003210
53103233431112030200
642105342240554220
72410521255662601
oct263154762640344
947540207486463
1012315412611300
113a18a343a2097
12146a986922970
136b44526a3126
143080d7a6d6a8
15165543749150
hexb3367cb40e4

12315412611300 has 72 divisors (see below), whose sum is σ = 35637100329600. Its totient is φ = 3283694683520.

The previous prime is 12315412611247. The next prime is 12315412611347. The reversal of 12315412611300 is 311621451321.

12315412611300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216255 + ... + 4967654.

It is an arithmetic number, because the mean of its divisors is an integer number (494959726800).

Almost surely, 212315412611300 is an apocalyptic number.

12315412611300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12315412611300 is an abundant number, since it is smaller than the sum of its proper divisors (23321687718300).

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

12315412611300 is a wasteful number, since it uses less digits than its factorization.

12315412611300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5191845 (or 5191838 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 12315412611300 in words is "twelve trillion, three hundred fifteen billion, four hundred twelve million, six hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 7919 15838 23757 31676 39595 47514 79190 95028 118785 158380 197975 237570 395950 475140 593925 791900 1187850 2375700 5183909 10367818 15551727 20735636 25919545 31103454 51839090 62206908 77758635 103678180 129597725 155517270 259195450 311034540 388793175 518390900 777586350 1555172700 41051375371 82102750742 123154126113 164205501484 205256876855 246308252226 410513753710 492616504452 615770630565 821027507420 1026284384275 1231541261130 2052568768550 2463082522260 3078853152825 4105137537100 6157706305650 12315412611300