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131240200331201 = 1326611174839989
BaseRepresentation
bin11101110101110010111101…
…100001010101111111000001
3122012200102220012201210222212
4131311302331201111333001
5114200214412241044301
61143042525443111505
736433535336452343
oct3565627541257701
9565612805653885
10131240200331201
11388a9724731135
1212877291672595
13582cb89594400
14245a0b9721293
151028cd363d4bb
hex775cbd855fc1

131240200331201 has 12 divisors (see below), whose sum is σ = 142327165428540. Its totient is φ = 120961525164480.

The previous prime is 131240200331113. The next prime is 131240200331243. The reversal of 131240200331201 is 102133002042131.

It can be written as a sum of positive squares in 6 ways, for example, as 4115116530625 + 127125083800576 = 2028575^2 + 11274976^2 .

It is not a de Polignac number, because 131240200331201 - 242 = 126842153820097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131240200331101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 587308286 + ... + 587531703.

It is an arithmetic number, because the mean of its divisors is an integer number (11860597119045).

Almost surely, 2131240200331201 is an apocalyptic number.

It is an amenable number.

131240200331201 is a deficient number, since it is larger than the sum of its proper divisors (11086965097339).

131240200331201 is a wasteful number, since it uses less digits than its factorization.

131240200331201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174840676 (or 1174840663 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 131240200331201 its reverse (102133002042131), we get a palindrome (233373202373332).

The spelling of 131240200331201 in words is "one hundred thirty-one trillion, two hundred forty billion, two hundred million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 13 169 661 8593 111709 1174839989 15272919857 198547958141 776569232729 10095400025477 131240200331201