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101681370 = 23257223057
BaseRepresentation
bin1100000111110…
…00100011011010
321002022221121200
412003320203122
5202012300440
614031215030
72343164100
oct603704332
9232287550
10101681370
115243a79a
122a077476
13180b1bbb
14d70bc70
158dd7c30
hex60f88da

101681370 has 72 divisors (see below), whose sum is σ = 307547604. Its totient is φ = 23240448.

The previous prime is 101681357. The next prime is 101681389. The reversal of 101681370 is 73186101.

It can be written as a sum of positive squares in 2 ways, for example, as 97002801 + 4678569 = 9849^2 + 2163^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7119 + ... + 15938.

Almost surely, 2101681370 is an apocalyptic number.

101681370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101681370 is an abundant number, since it is smaller than the sum of its proper divisors (205866234).

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

101681370 is a wasteful number, since it uses less digits than its factorization.

101681370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23084 (or 23074 counting only the distinct ones).

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

The square root of 101681370 is about 10083.7180642856. The cubic root of 101681370 is about 466.7458476754.

The spelling of 101681370 in words is "one hundred one million, six hundred eighty-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 23057 46114 69171 115285 138342 161399 207513 230570 322798 345855 415026 484197 691710 806995 968394 1037565 1129793 1452591 1613990 2075130 2259586 2420985 2905182 3389379 4841970 5648965 6778758 7262955 10168137 11297930 14525910 16946895 20336274 33893790 50840685 101681370