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101898944 = 267227453
BaseRepresentation
bin1100001001011…
…01101011000000
321002202000001222
412010231223000
5202041231234
614040014212
72345061320
oct604555300
9232660058
10101898944
1152579204
122a161368
1318159c44
14d767280
158e2c42e
hex612dac0

101898944 has 28 divisors (see below), whose sum is σ = 231093264. Its totient is φ = 43670784.

The previous prime is 101898943. The next prime is 101898983. The reversal of 101898944 is 449898101.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 101898895 and 101898904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101898941) 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, 113279 + ... + 114174.

Almost surely, 2101898944 is an apocalyptic number.

101898944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101898944 is an abundant number, since it is smaller than the sum of its proper divisors (129194320).

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

101898944 is an equidigital number, since it uses as much as digits as its factorization.

101898944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227472 (or 227462 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The square root of 101898944 is about 10094.5006810639. The cubic root of 101898944 is about 467.0785189564.

The spelling of 101898944 in words is "one hundred one million, eight hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 227453 454906 909812 1592171 1819624 3184342 3639248 6368684 7278496 12737368 14556992 25474736 50949472 101898944