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100008132 = 22371190573
BaseRepresentation
bin1011111011000…
…00000011000100
320222011221100220
411331200003010
5201100230012
613531304340
72323024620
oct575400304
9228157326
10100008132
11514a7654
12295ab0b0
1317947413
14d3d4180
158ba708c
hex5f600c4

100008132 has 24 divisors (see below), whose sum is σ = 266688576. Its totient is φ = 28573728.

The previous prime is 100008119. The next prime is 100008133. The reversal of 100008132 is 231800001.

It is a happy number.

It is a super-2 number, since 2×1000081322 = 20003252932258848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100008133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595203 + ... + 595370.

It is an arithmetic number, because the mean of its divisors is an integer number (11112024).

Almost surely, 2100008132 is an apocalyptic number.

100008132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100008132 is an abundant number, since it is smaller than the sum of its proper divisors (166680444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100008132 is a wasteful number, since it uses less digits than its factorization.

100008132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190587 (or 1190585 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100008132 is about 10000.4065917342. The cubic root of 100008132 is about 464.1714648204.

Adding to 100008132 its reverse (231800001), we get a palindrome (331808133).

The spelling of 100008132 in words is "one hundred million, eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1190573 2381146 3571719 4762292 7143438 8334011 14286876 16668022 25002033 33336044 50004066 100008132