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131004403413401 = 7577100932145551
BaseRepresentation
bin11101110010010111010110…
…111011011111000110011001
3122011211220021010020021212002
4131302113112323133012121
5114132334004233212101
61142342331520530345
736410520145643450
oct3562272673370631
9564756233207762
10131004403413401
11388187234a3851
12128396457809b5
13581387bc0a58b
14244c90b36bb97
151022ad26bed6b
hex7725d6edf199

131004403413401 has 16 divisors (see below), whose sum is σ = 150127442772480. Its totient is φ = 111983780966400.

The previous prime is 131004403413397. The next prime is 131004403413517. The reversal of 131004403413401 is 104314304400131.

It is not a de Polignac number, because 131004403413401 - 22 = 131004403413397 is a prime.

It is a super-2 number, since 2×1310044034134012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131004403413001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11997425 + ... + 20148126.

It is an arithmetic number, because the mean of its divisors is an integer number (9382965173280).

Almost surely, 2131004403413401 is an apocalyptic number.

It is an amenable number.

131004403413401 is a deficient number, since it is larger than the sum of its proper divisors (19123039359079).

131004403413401 is a wasteful number, since it uses less digits than its factorization.

131004403413401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32147144.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 131004403413401 its reverse (104314304400131), we get a palindrome (235318707813532).

The spelling of 131004403413401 in words is "one hundred thirty-one trillion, four billion, four hundred three million, four hundred thirteen thousand, four hundred one".

Divisors: 1 7 577 1009 4039 7063 582193 4075351 32145551 225018857 18547982927 32434860959 129835880489 227044026713 18714914773343 131004403413401