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231003010131120 = 243256710391460843
BaseRepresentation
bin110100100001100010010100…
…010111000110010010110000
31010021220200010221211202011100
4310201202110113012102300
5220234223131043143440
62135145152352444400
766441262636322403
oct6441422427062260
91107820127752140
10231003010131120
116767190aa8a367
1221aa9b20849700
139bb864b4b7626
1441088690d9d3a
151ba8db99c5230
hexd218945c64b0

231003010131120 has 240 divisors, whose sum is σ = 787441473591552. Its totient is φ = 60675416271360.

The previous prime is 231003010131079. The next prime is 231003010131121. The reversal of 231003010131120 is 21131010300132.

231003010131120 is a `hidden beast` number, since 2 + 31 + 0 + 0 + 301 + 0 + 1 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231003010131093 and 231003010131102.

It is not an unprimeable number, because it can be changed into a prime (231003010131121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501031419 + ... + 501492261.

Almost surely, 2231003010131120 is an apocalyptic number.

231003010131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231003010131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393720736795776).

231003010131120 is an abundant number, since it is smaller than the sum of its proper divisors (556438463460432).

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

231003010131120 is a wasteful number, since it uses less digits than its factorization.

231003010131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471320 (or 471311 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 231003010131120 its reverse (21131010300132), we get a palindrome (252134020431252).

The spelling of 231003010131120 in words is "two hundred thirty-one trillion, three billion, ten million, one hundred thirty-one thousand, one hundred twenty".