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2001002131341 = 322343409549649
BaseRepresentation
bin11101000111100101000…
…001010110111110001101
321002021221021112101201200
4131013211001112332031
5230241023021200331
64131125300100113
7264365461323543
oct35074501267615
97067837471650
102001002131341
1170169059aa04
12283983694639
131169030696b5
146cbc59d3d93
15370b5e805e6
hex1d1e5056f8d

2001002131341 has 48 divisors (see below), whose sum is σ = 3093694032000. Its totient is φ = 1243277392896.

The previous prime is 2001002131339. The next prime is 2001002131343. The reversal of 2001002131341 is 1431312001002.

2001002131341 is a `hidden beast` number, since 200 + 100 + 21 + 3 + 1 + 341 = 666.

It is an interprime number because it is at equal distance from previous prime (2001002131339) and next prime (2001002131343).

It is not a de Polignac number, because 2001002131341 - 21 = 2001002131339 is a prime.

It is a super-2 number, since 2×20010021313412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001002131343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3365685 + ... + 3915333.

It is an arithmetic number, because the mean of its divisors is an integer number (64451959000).

Almost surely, 22001002131341 is an apocalyptic number.

It is an amenable number.

2001002131341 is a deficient number, since it is larger than the sum of its proper divisors (1092691900659).

2001002131341 is a wasteful number, since it uses less digits than its factorization.

2001002131341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550130 (or 550127 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2001002131341 its reverse (1431312001002), we get a palindrome (3432314132343).

The spelling of 2001002131341 in words is "two trillion, one billion, two million, one hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 9 23 43 69 129 207 387 409 989 1227 2967 3681 8901 9407 17587 28221 52761 84663 158283 404501 549649 1213503 1648947 3640509 4946841 12641927 23634907 37925781 70904721 113777343 212714163 224806441 543602861 674419323 1630808583 2023257969 4892425749 5170548143 9666676963 15511644429 29000030889 46534933287 87000092667 222333570149 667000710447 2001002131341