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107801316 = 223271512833
BaseRepresentation
bin1100110110011…
…10101011100100
321111211212121100
412123032223210
5210044120231
614410320100
72446203360
oct633165344
9244755540
10107801316
115593a7a7
1230129030
131944567c
14104622a0
1596e61e6
hex66ceae4

107801316 has 72 divisors (see below), whose sum is σ = 313599104. Its totient is φ = 30585600.

The previous prime is 107801303. The next prime is 107801321. The reversal of 107801316 is 613108701.

It is a super-2 number, since 2×1078013162 = 23242247462663712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107801316.

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, 36636 + ... + 39468.

Almost surely, 2107801316 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 107801316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156799552).

107801316 is an abundant number, since it is smaller than the sum of its proper divisors (205797788).

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

107801316 is a wasteful number, since it uses less digits than its factorization.

107801316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 107801316 is about 10382.7412565276. The cubic root of 107801316 is about 475.9281074484.

The spelling of 107801316 in words is "one hundred seven million, eight hundred one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 252 302 453 604 906 1057 1359 1812 2114 2718 2833 3171 4228 5436 5666 6342 8499 9513 11332 12684 16998 19026 19831 25497 33996 38052 39662 50994 59493 79324 101988 118986 178479 237972 356958 427783 713916 855566 1283349 1711132 2566698 2994481 3850047 5133396 5988962 7700094 8983443 11977924 15400188 17966886 26950329 35933772 53900658 107801316