Search a number
-
+
100132231001 = 11107228737199
BaseRepresentation
bin101110101000001011…
…0001001011101011001
3100120110101110101002012
41131100112021131121
53120032322343001
6114000005115305
710143240630425
oct1352026113531
9316411411065
10100132231001
1139514041220
12174a60b8b35
13959a02983a
144bbc841b85
152910b592bb
hex1750589759

100132231001 has 16 divisors (see below), whose sum is σ = 110307225600. Its totient is φ = 90136705680.

The previous prime is 100132230973. The next prime is 100132231009.

100132231001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100132231001 - 26 = 100132230937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100132231009) 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, 2673200 + ... + 2710398.

It is an arithmetic number, because the mean of its divisors is an integer number (6894201600).

Almost surely, 2100132231001 is an apocalyptic number.

100132231001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100132231001 is a deficient number, since it is larger than the sum of its proper divisors (10174994599).

100132231001 is a wasteful number, since it uses less digits than its factorization.

100132231001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39604.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 100132 and 231001, that added together give a palindrome (331133).

The spelling of 100132231001 in words is "one hundred billion, one hundred thirty-two million, two hundred thirty-one thousand, one".

Divisors: 1 11 107 1177 2287 25157 37199 244709 409189 2691799 3980293 43783223 85074113 935815243 9102930091 100132231001