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100023312 = 2432083819
BaseRepresentation
bin1011111011000…
…11110000010000
320222012201012010
411331203300100
5201101221222
613531502520
72323120104
oct575436020
9228181163
10100023312
1151507aa4
12295b7a40
13179512bc
14d3d9904
158bab80c
hex5f63c10

100023312 has 20 divisors (see below), whose sum is σ = 258393680. Its totient is φ = 33341088.

The previous prime is 100023311. The next prime is 100023317. The reversal of 100023312 is 213320001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (100023311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1041862 + ... + 1041957.

It is an arithmetic number, because the mean of its divisors is an integer number (12919684).

Almost surely, 2100023312 is an apocalyptic number.

100023312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100023312 is an abundant number, since it is smaller than the sum of its proper divisors (158370368).

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

100023312 is a wasteful number, since it uses less digits than its factorization.

100023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083830 (or 2083824 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100023312 is about 10001.1655320767. The cubic root of 100023312 is about 464.1949487985.

Adding to 100023312 its reverse (213320001), we get a palindrome (313343313).

The spelling of 100023312 in words is "one hundred million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2083819 4167638 6251457 8335276 12502914 16670552 25005828 33341104 50011656 100023312