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101139714 = 232131572753
BaseRepresentation
bin1100000011101…
…00010100000010
321001022102121100
412001310110002
5201342432324
614011435230
72335446654
oct601642402
9231272540
10101139714
11520aa845
1229a55b16
1317c524b0
14d60a6d4
158d2c4c9
hex6074502

101139714 has 48 divisors (see below), whose sum is σ = 237582072. Its totient is φ = 30910464.

The previous prime is 101139653. The next prime is 101139751. The reversal of 101139714 is 417931101.

It can be written as a sum of positive squares in 4 ways, for example, as 83119689 + 18020025 = 9117^2 + 4245^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35362 + ... + 38114.

Almost surely, 2101139714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101139714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118791036).

101139714 is an abundant number, since it is smaller than the sum of its proper divisors (136442358).

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

101139714 is a wasteful number, since it uses less digits than its factorization.

101139714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 101139714 is about 10056.8242502293. The cubic root of 101139714 is about 465.9155876255.

The spelling of 101139714 in words is "one hundred one million, one hundred thirty-nine thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 157 234 314 471 942 1413 2041 2753 2826 4082 5506 6123 8259 12246 16518 18369 24777 35789 36738 49554 71578 107367 214734 322101 432221 644202 864442 1296663 2593326 3889989 5618873 7779978 11237746 16856619 33713238 50569857 101139714