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131201142010001 = 72271657286117417
BaseRepresentation
bin11101110101001110100101…
…011101101011000010010001
3122012112201002011121111221222
4131311032211131223002101
5114144044414323310001
61143012550023454425
736430653415266650
oct3565164535530221
9565481064544858
10131201142010001
1138894101292338
121286b7b0bb7415
1358292a363c24b
14245825223d197
151027c9966761b
hex7753a576b091

131201142010001 has 32 divisors (see below), whose sum is σ = 150756926844672. Its totient is φ = 111849609231360.

The previous prime is 131201142009991. The next prime is 131201142010093. The reversal of 131201142010001 is 100010241102131.

It is not a de Polignac number, because 131201142010001 - 218 = 131201141747857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131201142015001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7532927045 + ... + 7532944461.

It is an arithmetic number, because the mean of its divisors is an integer number (4711153963896).

Almost surely, 2131201142010001 is an apocalyptic number.

It is an amenable number.

131201142010001 is a deficient number, since it is larger than the sum of its proper divisors (19555784834671).

131201142010001 is a wasteful number, since it uses less digits than its factorization.

131201142010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22169.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 131201142010001 its reverse (100010241102131), we get a palindrome (231211383112132).

The spelling of 131201142010001 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, ten thousand, one".

Divisors: 1 7 227 1589 1657 2861 11599 17417 20027 121919 376139 649447 2632973 3953659 4546129 4740677 27675613 28859969 33184739 49830037 202019783 348810259 1076133679 6551212963 7532935753 11311418399 45858490741 79179928793 82568371309 577978599163 18743020287143 131201142010001