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131141100310401 = 392947054574923
BaseRepresentation
bin11101110100010110101010…
…101100110000111110000001
3122012022222002202120011010010
4131310112222230300332001
5114142103433134413101
61142525220105455133
736423426501255036
oct3564265254607601
9565288082504103
10131141100310401
11388706a03137a5
12128600351a14a9
135823725371a4c
14245539801338d
1510264334292d6
hex7745aab30f81

131141100310401 has 8 divisors (see below), whose sum is σ = 175043018717280. Its totient is φ = 87333291055232.

The previous prime is 131141100310379. The next prime is 131141100310457. The reversal of 131141100310401 is 104013001141131.

131141100310401 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131141100310401 - 210 = 131141100309377 is a prime.

It is a super-3 number, since 3×1311411003104013 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131141100310481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23527284675 + ... + 23527290248.

It is an arithmetic number, because the mean of its divisors is an integer number (21880377339660).

Almost surely, 2131141100310401 is an apocalyptic number.

It is an amenable number.

131141100310401 is a deficient number, since it is larger than the sum of its proper divisors (43901918406879).

131141100310401 is an equidigital number, since it uses as much as digits as its factorization.

131141100310401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47054575855.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 131141100310401 its reverse (104013001141131), we get a palindrome (235154101451532).

The spelling of 131141100310401 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, three hundred ten thousand, four hundred one".

Divisors: 1 3 929 2787 47054574923 141163724769 43713700103467 131141100310401