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12300135411256 = 2371119967752291
BaseRepresentation
bin1011001011111101100100…
…1100111010111000111000
31121112212210120210201212021
42302333121030322320320
53103011134131130011
642054334301324224
72406440551634020
oct262773114727070
947485716721767
1012300135411256
113a12504859630
121467a22566674
136b2b895acca4
14307488acca80
15164e4c42b471
hexb2fd933ae38

12300135411256 has 32 divisors (see below), whose sum is σ = 28753563300480. Its totient is φ = 4792260549600.

The previous prime is 12300135411251. The next prime is 12300135411257. The reversal of 12300135411256 is 65211453100321.

It is a super-2 number, since 2×123001354112562 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300135411251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9983875530 + ... + 9983876761.

It is an arithmetic number, because the mean of its divisors is an integer number (898548853140).

Almost surely, 212300135411256 is an apocalyptic number.

It is an amenable number.

12300135411256 is an abundant number, since it is smaller than the sum of its proper divisors (16453427889224).

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

12300135411256 is a wasteful number, since it uses less digits than its factorization.

12300135411256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19967752315 (or 19967752311 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 12300135411256 its reverse (65211453100321), we get a palindrome (77511588511577).

The spelling of 12300135411256 in words is "twelve trillion, three hundred billion, one hundred thirty-five million, four hundred eleven thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 19967752291 39935504582 79871009164 139774266037 159742018328 219645275201 279548532074 439290550402 559097064148 878581100804 1118194128296 1537516926407 1757162201608 3075033852814 6150067705628 12300135411256