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100122132 = 22311758501
BaseRepresentation
bin1011111011110…
…11111000010100
320222101201202010
411331323320110
5201112402012
613533544220
72324011155
oct575737024
9228351663
10100122132
1151575270
1229645070
1317987286
14d42392c
158bcac3c
hex5f7be14

100122132 has 24 divisors (see below), whose sum is σ = 254856672. Its totient is φ = 30340000.

The previous prime is 100122089. The next prime is 100122179. The reversal of 100122132 is 231221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379119 + ... + 379382.

It is an arithmetic number, because the mean of its divisors is an integer number (10619028).

Almost surely, 2100122132 is an apocalyptic number.

100122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122132 is an abundant number, since it is smaller than the sum of its proper divisors (154734540).

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

100122132 is a wasteful number, since it uses less digits than its factorization.

100122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758519 (or 758517 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100122132 is about 10006.1047366095. The cubic root of 100122132 is about 464.3477686615.

Adding to 100122132 its reverse (231221001), we get a palindrome (331343133).

The spelling of 100122132 in words is "one hundred million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 758501 1517002 2275503 3034004 4551006 8343511 9102012 16687022 25030533 33374044 50061066 100122132