Search a number
-
+
100050115653 = 36137242957
BaseRepresentation
bin101110100101101110…
…0111001110001000101
3100120020122221111000000
41131023130321301011
53114400312200103
6113543513111513
710141222644165
oct1351334716105
9316218844000
10100050115653
11394817557a4
12174826b8599
139586008687
144bb19885a5
152908838aa3
hex174b739c45

100050115653 has 14 divisors (see below), whose sum is σ = 150006553094. Its totient is φ = 66700076616.

The previous prime is 100050115639. The next prime is 100050115661. The reversal of 100050115653 is 356511050001.

100050115653 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 0 + 1 + 1 + 5 + 653 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99895187844 + 154927809 = 316062^2 + 12447^2 .

It is not a de Polignac number, because 100050115653 - 210 = 100050114629 is a prime.

It is a super-4 number, since 4×1000501156534 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100050115603) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 68620750 + ... + 68622207.

Almost surely, 2100050115653 is an apocalyptic number.

It is an amenable number.

100050115653 is a deficient number, since it is larger than the sum of its proper divisors (49956437441).

100050115653 is an frugal number, since it uses more digits than its factorization.

100050115653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137242975 (or 137242960 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 100050115653 its reverse (356511050001), we get a palindrome (456561165654).

The spelling of 100050115653 in words is "one hundred billion, fifty million, one hundred fifteen thousand, six hundred fifty-three".

Divisors: 1 3 9 27 81 243 729 137242957 411728871 1235186613 3705559839 11116679517 33350038551 100050115653