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201332131032981 = 313592771106928537
BaseRepresentation
bin101101110001110001001010…
…001001101110111110010101
3222101212011102101012002212010
4231301301022021232332111
5202342111201021023411
61552110412032414433
760256523615262204
oct5561611211567625
9871764371162763
10201332131032981
1159172528283153
121a6b76233a7419
1388457000b3470
1437a075466123b
15184219dc357a6
hexb71c4a26ef95

201332131032981 has 64 divisors (see below), whose sum is σ = 295090499692800. Its totient is φ = 121341836630016.

The previous prime is 201332131032979. The next prime is 201332131033037. The reversal of 201332131032981 is 189230131233102.

It is not a de Polignac number, because 201332131032981 - 21 = 201332131032979 is a prime.

It is a super-2 number, since 2×2013321310329812 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201332130032981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7055111745 + ... + 7055140281.

It is an arithmetic number, because the mean of its divisors is an integer number (4610789057700).

Almost surely, 2201332131032981 is an apocalyptic number.

It is an amenable number.

201332131032981 is a deficient number, since it is larger than the sum of its proper divisors (93758368659819).

201332131032981 is a wasteful number, since it uses less digits than its factorization.

201332131032981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39958.

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 201332131032981 in words is "two hundred one trillion, three hundred thirty-two billion, one hundred thirty-one million, thirty-two thousand, nine hundred eighty-one".

Divisors: 1 3 13 39 59 177 277 767 831 2301 3601 10803 11069 16343 28537 33207 49029 85611 143897 212459 370981 431691 637377 653071 1112943 1683683 1959213 3066113 5051049 7904749 8489923 9198339 21887879 23714247 25469769 39859469 65663637 102761737 119578407 180900667 308285211 315876053 466380191 542702001 947628159 1399140573 2351708671 4106388689 6062942483 7055126013 12319166067 18188827449 18636687127 55910061381 87497666681 242276932651 262493000043 726830797953 1137469666853 3412409000559 5162362334179 15487087002537 67110710344327 201332131032981