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131204440342401 = 3281947164350481
BaseRepresentation
bin11101110101010001101010…
…000011110011111110000001
3122012120000121001000011102020
4131311101222003303332001
5114144123143211424101
61143014253210312053
736431131225535256
oct3565215203637601
9565500531004366
10131204440342401
1138895544098288
1212870371728629
1358296aaa8951a
14245848630342d
151027dddedb136
hex77546a0f3f81

131204440342401 has 16 divisors (see below), whose sum is σ = 175747201823808. Its totient is φ = 87066310284800.

The previous prime is 131204440342301. The next prime is 131204440342483. The reversal of 131204440342401 is 104243044402131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131204440342401 - 29 = 131204440341889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131204440342301) 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, 81376920 + ... + 82973561.

It is an arithmetic number, because the mean of its divisors is an integer number (10984200113988).

Almost surely, 2131204440342401 is an apocalyptic number.

It is an amenable number.

131204440342401 is a deficient number, since it is larger than the sum of its proper divisors (44542761481407).

131204440342401 is a wasteful number, since it uses less digits than its factorization.

131204440342401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164351712.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 131204440342401 its reverse (104243044402131), we get a palindrome (235447484744532).

The spelling of 131204440342401 in words is "one hundred thirty-one trillion, two hundred four billion, four hundred forty million, three hundred forty-two thousand, four hundred one".

Divisors: 1 3 281 843 947 2841 266107 798321 164350481 493051443 46182485161 138547455483 155639905507 466919716521 43734813447467 131204440342401