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101324944 = 247337499
BaseRepresentation
bin1100000101000…
…01100010010000
321001122211200201
412002201202100
5201414344234
614015424544
72340151000
oct602414220
9231584621
10101324944
1152216a26
1229b25154
1317cb88b6
14d658000
158d67314
hex60a1890

101324944 has 80 divisors (see below), whose sum is σ = 235600000. Its totient is φ = 42166656.

The previous prime is 101324941. The next prime is 101324969. The reversal of 101324944 is 449423101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (101324941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202807 + ... + 203305.

It is an arithmetic number, because the mean of its divisors is an integer number (2945000).

Almost surely, 2101324944 is an apocalyptic number.

101324944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101324944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117800000).

101324944 is an abundant number, since it is smaller than the sum of its proper divisors (134275056).

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

101324944 is an equidigital number, since it uses as much as digits as its factorization.

101324944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 101324944 is about 10066.0292071899. The cubic root of 101324944 is about 466.1998442887.

The spelling of 101324944 in words is "one hundred one million, three hundred twenty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 343 392 499 518 592 686 784 998 1036 1372 1813 1996 2072 2744 3493 3626 3992 4144 5488 6986 7252 7984 12691 13972 14504 18463 24451 25382 27944 29008 36926 48902 50764 55888 73852 97804 101528 129241 147704 171157 195608 203056 258482 295408 342314 391216 516964 684628 904687 1033928 1369256 1809374 2067856 2738512 3618748 6332809 7237496 12665618 14474992 25331236 50662472 101324944