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12431233220220 = 2232569062406779
BaseRepresentation
bin1011010011100101111100…
…1111010111111001111100
31122000102012000110110021100
42310321133033113321330
53112133131201021340
642234455114333100
72422061355630423
oct264713717277174
948012160413240
1012431233220220
113a630690868a1
12148930aa2a190
136c234ca49109
1430d963cc62ba
15168571841830
hexb4e5f3d7e7c

12431233220220 has 36 divisors (see below), whose sum is σ = 37708074101880. Its totient is φ = 3314995525344.

The previous prime is 12431233220213. The next prime is 12431233220221. The reversal of 12431233220220 is 2202233213421.

12431233220220 is a `hidden beast` number, since 1 + 2 + 4 + 312 + 3 + 322 + 0 + 2 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×124312332202202 (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 (12431233220221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34531203210 + ... + 34531203569.

It is an arithmetic number, because the mean of its divisors is an integer number (1047446502830).

Almost surely, 212431233220220 is an apocalyptic number.

12431233220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12431233220220 is an abundant number, since it is smaller than the sum of its proper divisors (25276840881660).

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

12431233220220 is a wasteful number, since it uses less digits than its factorization.

12431233220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69062406794 (or 69062406789 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12431233220220 its reverse (2202233213421), we get a palindrome (14633466433641).

The spelling of 12431233220220 in words is "twelve trillion, four hundred thirty-one billion, two hundred thirty-three million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 69062406779 138124813558 207187220337 276249627116 345312033895 414374440674 621561661011 690624067790 828748881348 1035936101685 1243123322022 1381248135580 2071872203370 2486246644044 3107808305055 4143744406740 6215616610110 12431233220220