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131113412401 = 678921987827
BaseRepresentation
bin111101000011011110…
…1111110011100110001
3110112102112000110022011
41322012331332130301
54122010013144101
6140122131242521
712321053421436
oct1720675763461
9415375013264
10131113412401
1150672115374
12214b1749441
13c49677033a
1464bb2d9b8d
153625998751
hex1e86f7e731

131113412401 has 8 divisors (see below), whose sum is σ = 134565507360. Its totient is φ = 127705293408.

The previous prime is 131113412399. The next prime is 131113412411. The reversal of 131113412401 is 104214311131.

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 131113412401 - 21 = 131113412399 is a prime.

It is a super-2 number, since 2×1311134124012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131113412411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10987951 + ... + 10999876.

It is an arithmetic number, because the mean of its divisors is an integer number (16820688420).

Almost surely, 2131113412401 is an apocalyptic number.

It is an amenable number.

131113412401 is a deficient number, since it is larger than the sum of its proper divisors (3452094959).

131113412401 is an equidigital number, since it uses as much as digits as its factorization.

131113412401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21987983.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131113412401 its reverse (104214311131), we get a palindrome (235327723532).

The spelling of 131113412401 in words is "one hundred thirty-one billion, one hundred thirteen million, four hundred twelve thousand, four hundred one".

Divisors: 1 67 89 5963 21987827 1473184409 1956916603 131113412401