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1031131002209 = 72119412032991
BaseRepresentation
bin11110000000101000011…
…00100111010101100001
310122120112021220012012212
433000110030213111201
5113343224014032314
62105410043531505
7134332246622300
oct17002414472541
93576467805185
101031131002209
113683336296a0
12147a0b829b95
1376309a777c9
1437c9ab80437
151bc4e7ebe3e
hexf014327561

1031131002209 has 24 divisors (see below), whose sum is σ = 1309913669376. Its totient is φ = 802624452000.

The previous prime is 1031131002191. The next prime is 1031131002257. The reversal of 1031131002209 is 9022001311301.

It is not a de Polignac number, because 1031131002209 - 224 = 1031114224993 is a prime.

It is a super-2 number, since 2×10311310022092 (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 (1031131008209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509297 + ... + 1523694.

It is an arithmetic number, because the mean of its divisors is an integer number (54579736224).

Almost surely, 21031131002209 is an apocalyptic number.

It is an amenable number.

1031131002209 is a deficient number, since it is larger than the sum of its proper divisors (278782667167).

1031131002209 is a wasteful number, since it uses less digits than its factorization.

1031131002209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033957 (or 2033950 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 1031131002209 in words is "one trillion, thirty-one billion, one hundred thirty-one million, two thousand, two hundred nine".

Divisors: 1 7 11 49 77 539 941 6587 10351 46109 72457 507199 2032991 14230937 22362901 99616559 156540307 1095782149 1913044531 13391311717 21043489841 93739182019 147304428887 1031131002209