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12311204000420 = 22513179264529523
BaseRepresentation
bin1011001100100110110011…
…1100001111001010100100
31121120221100222022022202002
42303021230330033022210
53103201321211003140
642103404455504432
72410312053246203
oct263115474171244
947527328268662
1012311204000420
113a17174784486
121469bb1388118
136b3c317a0c30
14307c18b3523a
15165399018415
hexb326cf0f2a4

12311204000420 has 48 divisors (see below), whose sum is σ = 27997804820160. Its totient is φ = 4520280471936.

The previous prime is 12311204000399. The next prime is 12311204000483. The reversal of 12311204000420 is 2400040211321.

12311204000420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123112040004202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12311204000392 and 12311204000401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132218222 + ... + 132311301.

It is an arithmetic number, because the mean of its divisors is an integer number (583287600420).

Almost surely, 212311204000420 is an apocalyptic number.

12311204000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12311204000420 is an abundant number, since it is smaller than the sum of its proper divisors (15686600819740).

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

12311204000420 is a wasteful number, since it uses less digits than its factorization.

12311204000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264529724 (or 264529722 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12311204000420 its reverse (2400040211321), we get a palindrome (14711244211741).

The spelling of 12311204000420 in words is "twelve trillion, three hundred eleven billion, two hundred four million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 179 260 358 716 895 1790 2327 3580 4654 9308 11635 23270 46540 264529523 529059046 1058118092 1322647615 2645295230 3438883799 5290590460 6877767598 13755535196 17194418995 34388837990 47350784617 68777675980 94701569234 189403138468 236753923085 473507846170 615560200021 947015692340 1231120400042 2462240800084 3077801000105 6155602000210 12311204000420