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1012331220131 = 721115373122173
BaseRepresentation
bin11101011101100111010…
…01001000110010100011
310120210000002210022102202
432232303221020302203
5113041223243021011
62053020351203415
7133065340252100
oct16566351106243
93523002708382
101012331220131
11360366645110
1214424381656b
1374601c3c5ba
1436dd6043aa7
151b4ee11123b
hexebb3a48ca3

1012331220131 has 24 divisors (see below), whose sum is σ = 1284759303984. Its totient is φ = 788771753280.

The previous prime is 1012331220097. The next prime is 1012331220133. The reversal of 1012331220131 is 1310221332101.

It is a happy number.

It is not a de Polignac number, because 1012331220131 - 218 = 1012330957987 is a prime.

It is a super-2 number, since 2×10123312201312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012331220133) 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, 8224961 + ... + 8347133.

It is an arithmetic number, because the mean of its divisors is an integer number (53531637666).

Almost surely, 21012331220131 is an apocalyptic number.

1012331220131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012331220131 is a deficient number, since it is larger than the sum of its proper divisors (272428083853).

1012331220131 is a wasteful number, since it uses less digits than its factorization.

1012331220131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137571 (or 137564 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1012331220131 its reverse (1310221332101), we get a palindrome (2322552552232).

The spelling of 1012331220131 in words is "one trillion, twelve billion, three hundred thirty-one million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 7 11 49 77 539 15373 107611 122173 169103 753277 855211 1183721 1343903 5986477 8286047 9407321 65851247 1878165529 13147158703 20659820819 92030110921 144618745733 1012331220131