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1001131233201 = 33113370812233
BaseRepresentation
bin11101001000110000001…
…00100100111110110001
310112201002120001000201000
432210120010210332301
5112400304043430301
62043525140432213
7132220652035011
oct16443004447661
93481076030630
101001131233201
11356639533170
121420389a8669
13735387638b8
1436652795c41
151b095c1b786
hexe918124fb1

1001131233201 has 16 divisors (see below), whose sum is σ = 1617989872320. Its totient is φ = 606746201760.

The previous prime is 1001131233181. The next prime is 1001131233287. The reversal of 1001131233201 is 1023321311001.

1001131233201 is a `hidden beast` number, since 10 + 0 + 11 + 312 + 332 + 0 + 1 = 666.

It is not a de Polignac number, because 1001131233201 - 214 = 1001131216817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001131233001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1685405820 + ... + 1685406413.

It is an arithmetic number, because the mean of its divisors is an integer number (101124367020).

Almost surely, 21001131233201 is an apocalyptic number.

1001131233201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001131233201 is a deficient number, since it is larger than the sum of its proper divisors (616858639119).

1001131233201 is a wasteful number, since it uses less digits than its factorization.

1001131233201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370812253 (or 3370812247 counting only the distinct ones).

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

Adding to 1001131233201 its reverse (1023321311001), we get a palindrome (2024452544202).

The spelling of 1001131233201 in words is "one trillion, one billion, one hundred thirty-one million, two hundred thirty-three thousand, two hundred one".

Divisors: 1 3 9 11 27 33 99 297 3370812233 10112436699 30337310097 37078934563 91011930291 111236803689 333710411067 1001131233201