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100478112 = 2537149521
BaseRepresentation
bin1011111110100…
…10110010100000
321000001211001120
411333102302200
5201210244422
613545332240
72330023050
oct577226240
9230054046
10100478112
1151798769
1229797080
1317a80307
14d4b7560
158c4b45c
hex5fd2ca0

100478112 has 48 divisors (see below), whose sum is σ = 301436352. Its totient is φ = 28707840.

The previous prime is 100478111. The next prime is 100478113. The reversal of 100478112 is 211874001.

It is an interprime number because it is at equal distance from previous prime (100478111) and next prime (100478113).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100478111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74089 + ... + 75432.

It is an arithmetic number, because the mean of its divisors is an integer number (6279924).

Almost surely, 2100478112 is an apocalyptic number.

100478112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100478112 is an abundant number, since it is smaller than the sum of its proper divisors (200958240).

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

100478112 is a wasteful number, since it uses less digits than its factorization.

100478112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149541 (or 149533 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 100478112 is about 10023.8770942186. The cubic root of 100478112 is about 464.8974406720.

The spelling of 100478112 in words is "one hundred million, four hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 149521 299042 448563 598084 897126 1046647 1196168 1794252 2093294 2392336 3139941 3588504 4186588 4784672 6279882 7177008 8373176 12559764 14354016 16746352 25119528 33492704 50239056 100478112