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102174012 = 223217732287
BaseRepresentation
bin1100001011100…
…00110100111100
321010020222101200
412011300310330
5202124032022
614045535500
72350315263
oct605606474
9233228350
10102174012
1152746936
122a274590
13182251c5
14d7d95da
158e83bac
hex6170d3c

102174012 has 72 divisors (see below), whose sum is σ = 277333056. Its totient is φ = 31601664.

The previous prime is 102174011. The next prime is 102174013. The reversal of 102174012 is 210471201.

It is an interprime number because it is at equal distance from previous prime (102174011) and next prime (102174013).

It is a super-2 number, since 2×1021740122 = 20879057456352288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102174011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 43533 + ... + 45819.

It is an arithmetic number, because the mean of its divisors is an integer number (3851848).

Almost surely, 2102174012 is an apocalyptic number.

102174012 is a gapful number since it is divisible by the number (12) 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 102174012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138666528).

102174012 is an abundant number, since it is smaller than the sum of its proper divisors (175159044).

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

102174012 is a wasteful number, since it uses less digits than its factorization.

102174012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 102174012 is about 10108.1161449599. The cubic root of 102174012 is about 467.4984216443.

The spelling of 102174012 in words is "one hundred two million, one hundred seventy-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 612 657 876 1241 1314 2287 2482 2628 3723 4574 4964 6861 7446 9148 11169 13722 14892 20583 22338 27444 38879 41166 44676 77758 82332 116637 155516 166951 233274 333902 349911 466548 500853 667804 699822 1001706 1399644 1502559 2003412 2838167 3005118 5676334 6010236 8514501 11352668 17029002 25543503 34058004 51087006 102174012