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100132420 = 2255006621
BaseRepresentation
bin1011111011111…
…10011001000100
320222102020212011
411331332121010
5201113214140
613534104004
72324053153
oct575763104
9228366764
10100132420
1151581a73
122964b004
131798bb6b
14d42759a
158bcdcea
hex5f7e644

100132420 has 12 divisors (see below), whose sum is σ = 210278124. Its totient is φ = 40052960.

The previous prime is 100132411. The next prime is 100132463. The reversal of 100132420 is 24231001.

It can be written as a sum of positive squares in 2 ways, for example, as 33154564 + 66977856 = 5758^2 + 8184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100132420.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2503291 + ... + 2503330.

It is an arithmetic number, because the mean of its divisors is an integer number (17523177).

Almost surely, 2100132420 is an apocalyptic number.

100132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100132420 is an abundant number, since it is smaller than the sum of its proper divisors (110145704).

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

100132420 is a wasteful number, since it uses less digits than its factorization.

100132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006630 (or 5006628 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 100132420 is about 10006.6188095680. The cubic root of 100132420 is about 464.3636727250.

Adding to 100132420 its reverse (24231001), we get a palindrome (124363421).

The spelling of 100132420 in words is "one hundred million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 5006621 10013242 20026484 25033105 50066210 100132420