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54100405131013 = 379378689179593
BaseRepresentation
bin11000100110100001110110…
…11011100001011100000101
321002112221121020211002121001
430103100323123201130011
524042340112203143023
6311021214421453301
714252424321104563
oct1423207333413405
9232487536732531
1054100405131013
111626894233577a
126099030271231
132425852c48027
14d5068b706a33
1563c4206cd6ad
hex31343b6e1705

54100405131013 has 16 divisors (see below), whose sum is σ = 55628587777840. Its totient is φ = 52575710294016.

The previous prime is 54100405130999. The next prime is 54100405131067. The reversal of 54100405131013 is 31013150400145.

It can be written as a sum of positive squares in 8 ways, for example, as 302551702209 + 53797853428804 = 550047^2 + 7334702^2 .

It is a cyclic number.

It is not a de Polignac number, because 54100405131013 - 241 = 51901381875461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54100405131413) 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, 301149145 + ... + 301328737.

It is an arithmetic number, because the mean of its divisors is an integer number (3476786736115).

Almost surely, 254100405131013 is an apocalyptic number.

It is an amenable number.

54100405131013 is a deficient number, since it is larger than the sum of its proper divisors (1528182646827).

54100405131013 is a wasteful number, since it uses less digits than its factorization.

54100405131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189256.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 54100405131013 its reverse (31013150400145), we get a palindrome (85113555531158).

The spelling of 54100405131013 in words is "fifty-four trillion, one hundred billion, four hundred five million, one hundred thirty-one thousand, thirteen".

Divisors: 1 37 937 8689 34669 179593 321493 6644941 8141593 168278641 301238941 1560483577 6226309717 57737892349 1462173111649 54100405131013