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100800372 = 2238400031
BaseRepresentation
bin1100000001000…
…01011101110100
321000200012010010
412000201131310
5201301102442
614000300220
72332534431
oct600413564
9230605103
10100800372
11519988a2
1229911670
1317b63bba
14d55cb88
158cb1b9c
hex6021774

100800372 has 12 divisors (see below), whose sum is σ = 235200896. Its totient is φ = 33600120.

The previous prime is 100800367. The next prime is 100800373. The reversal of 100800372 is 273008001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100800373) 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 3 ways as a sum of consecutive naturals, for example, 4200004 + ... + 4200027.

Almost surely, 2100800372 is an apocalyptic number.

100800372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100800372 is an abundant number, since it is smaller than the sum of its proper divisors (134400524).

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

100800372 is a wasteful number, since it uses less digits than its factorization.

100800372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8400038 (or 8400036 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 100800372 is about 10039.9388444353. The cubic root of 100800372 is about 465.3939267971.

Adding to 100800372 its reverse (273008001), we get a palindrome (373808373).

The spelling of 100800372 in words is "one hundred million, eight hundred thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 8400031 16800062 25200093 33600124 50400186 100800372