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101713344 = 2631074951
BaseRepresentation
bin1100001000000…
…00010111000000
321002101120110220
412010000113000
5202014311334
614032023040
72343356235
oct604002700
9232346426
10101713344
1152461817
122a091a80
13180c3615
14d71978c
158de2449
hex61005c0

101713344 has 56 divisors (see below), whose sum is σ = 271686528. Its totient is φ = 33580800.

The previous prime is 101713319. The next prime is 101713373. The reversal of 101713344 is 443317101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18069 + ... + 23019.

Almost surely, 2101713344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135843264).

101713344 is an abundant number, since it is smaller than the sum of its proper divisors (169973184).

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

101713344 is a wasteful number, since it uses less digits than its factorization.

101713344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 101713344 is about 10085.3033667808. The cubic root of 101713344 is about 466.7947657409.

The spelling of 101713344 in words is "one hundred one million, seven hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1284 1712 2568 3424 4951 5136 6848 9902 10272 14853 19804 20544 29706 39608 59412 79216 118824 158432 237648 316864 475296 529757 950592 1059514 1589271 2119028 3178542 4238056 6357084 8476112 12714168 16952224 25428336 33904448 50856672 101713344