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12300231133031 = 1929414261127781
BaseRepresentation
bin1011001011111101111011…
…1010000100011101100111
31121112220001020220220110012
42302333132322010131213
53103011333132224111
642054352001120435
72406443123360162
oct262773672043547
947486036826405
1012300231133031
113a12553898836
121467a4a62911b
136b2ba33863aa
143074976c8ad9
15164e55a3848b
hexb2fdee84767

12300231133031 has 32 divisors (see below), whose sum is σ = 13724093476800. Its totient is φ = 10973950848000.

The previous prime is 12300231133013. The next prime is 12300231133037. The reversal of 12300231133031 is 13033113200321.

It is a cyclic number.

It is not a de Polignac number, because 12300231133031 - 218 = 12300230870887 is a prime.

It is a super-2 number, since 2×123002311330312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12300231132988 and 12300231133006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300231133037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96196361 + ... + 96324141.

It is an arithmetic number, because the mean of its divisors is an integer number (428877921150).

Almost surely, 212300231133031 is an apocalyptic number.

12300231133031 is a deficient number, since it is larger than the sum of its proper divisors (1423862343769).

12300231133031 is a wasteful number, since it uses less digits than its factorization.

12300231133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132131.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 12300231133031 its reverse (13033113200321), we get a palindrome (25333344333352).

The spelling of 12300231133031 in words is "twelve trillion, three hundred billion, two hundred thirty-one million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 19 29 41 551 779 1189 4261 22591 80959 123569 127781 174701 2347811 2427839 3319319 3705649 5066329 5239021 70407331 96260251 99541399 151931609 544474841 2886700571 10345021979 15789770389 22323468481 300005637391 424145901139 647380585949 12300231133031