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1020331102131 = 321163116333399
BaseRepresentation
bin11101101100100000111…
…10010000111110110011
310121112122121222102110200
432312100132100332303
5113204114230232011
62100422244330243
7133500520161165
oct16662036207663
93545577872420
101020331102131
113637a1341940
121458b69a3983
13752a8440aa3
14375546ba935
151b81b5d6856
hexed90790fb3

1020331102131 has 24 divisors (see below), whose sum is σ = 1610342572800. Its totient is φ = 617402444400.

The previous prime is 1020331102123. The next prime is 1020331102187. The reversal of 1020331102131 is 1312011330201.

1020331102131 is a `hidden beast` number, since 102 + 0 + 331 + 102 + 131 = 666.

It is not a de Polignac number, because 1020331102131 - 23 = 1020331102123 is a prime.

It is a super-2 number, since 2×10203311021312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020331102831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8104231 + ... + 8229168.

It is an arithmetic number, because the mean of its divisors is an integer number (67097607200).

Almost surely, 21020331102131 is an apocalyptic number.

1020331102131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1020331102131 is a deficient number, since it is larger than the sum of its proper divisors (590011470669).

1020331102131 is a wasteful number, since it uses less digits than its factorization.

1020331102131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16334047 (or 16334044 counting only the distinct ones).

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

Adding to 1020331102131 its reverse (1312011330201), we get a palindrome (2332342432332).

The spelling of 1020331102131 in words is "one trillion, twenty billion, three hundred thirty-one million, one hundred two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 631 1893 5679 6941 20823 62469 16333399 49000197 147000591 179667389 539002167 1617006501 10306374769 30919124307 92757372921 113370122459 340110367377 1020331102131