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101043612045 = 32517132083153
BaseRepresentation
bin101111000011010101…
…0110010100110001101
3100122210220101022211200
41132012222302212031
53123414131041140
6114230243140113
710204645350135
oct1360652624615
9318726338750
10101043612045
11399415372a2
12176bb374639
1396b3aa956c
144c678c1ac5
152965b83030
hex1786ab298d

101043612045 has 24 divisors (see below), whose sum is σ = 185444748216. Its totient is φ = 50719930368.

The previous prime is 101043612013. The next prime is 101043612083. The reversal of 101043612045 is 540216340101.

It is a happy number.

101043612045 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 3 + 612 + 0 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15694326729 + 85349285316 = 125277^2 + 292146^2 .

It is not a de Polignac number, because 101043612045 - 25 = 101043612013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66040812 + ... + 66042341.

It is an arithmetic number, because the mean of its divisors is an integer number (7726864509).

Almost surely, 2101043612045 is an apocalyptic number.

101043612045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101043612045 is a deficient number, since it is larger than the sum of its proper divisors (84401136171).

101043612045 is a wasteful number, since it uses less digits than its factorization.

101043612045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132083181 (or 132083178 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 101043612045 its reverse (540216340101), we get a palindrome (641259952146).

The spelling of 101043612045 in words is "one hundred one billion, forty-three million, six hundred twelve thousand, forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 132083153 396249459 660415765 1188748377 1981247295 2245413601 5943741885 6736240803 11227068005 20208722409 33681204015 101043612045