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1001001000131 = 11227394001939
BaseRepresentation
bin11101001000100000100…
…11110001110011000011
310112200202110222111111222
432210100103301303003
5112400022224001011
62043504205225255
7132214511053526
oct16442023616303
93480673874458
101001001000131
11356581a72130
1214200126222b
1373517796002
143663d374bbd
151b089593ddb
hexe9104f1cc3

1001001000131 has 8 divisors (see below), whose sum is σ = 1092049387200. Its totient is φ = 909960662440.

The previous prime is 1001001000113. The next prime is 1001001000157. The reversal of 1001001000131 is 1310001001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001001000131 - 222 = 1000996805827 is a prime.

It is a super-2 number, since 2×10010010001312 (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 (1001001000631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1750841 + ... + 2251098.

It is an arithmetic number, because the mean of its divisors is an integer number (136506173400).

Almost surely, 21001001000131 is an apocalyptic number.

1001001000131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001001000131 is a deficient number, since it is larger than the sum of its proper divisors (91048387069).

1001001000131 is a wasteful number, since it uses less digits than its factorization.

1001001000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024689.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 1001001000131 its reverse (1310001001001), we get a palindrome (2311002001132).

The spelling of 1001001000131 in words is "one trillion, one billion, one million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 11 22739 250129 4001939 44021329 91000090921 1001001000131