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10523000700 = 223252113103471
BaseRepresentation
bin10011100110011100…
…00011111101111100
31000011100212211012200
421303032003331330
5133022342010300
64500104231500
7521525013222
oct116316037574
930140784180
1010523000700
11450aa611a3
12205816b590
13cb9166744
1471b7c4b12
15418c6b200
hex273383f7c

10523000700 has 108 divisors (see below), whose sum is σ = 33275974368. Its totient is φ = 2781273600.

The previous prime is 10523000693. The next prime is 10523000711. The reversal of 10523000700 is 700032501.

It is a super-2 number, since 2×105230007002 (a number of 21 digits) 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49965 + ... + 153435.

Almost surely, 210523000700 is an apocalyptic number.

10523000700 is a gapful number since it is divisible by the number (10) 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 10523000700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16637987184).

10523000700 is an abundant number, since it is smaller than the sum of its proper divisors (22752973668).

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

10523000700 is a wasteful number, since it uses less digits than its factorization.

10523000700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103604 (or 103594 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The spelling of 10523000700 in words is "ten billion, five hundred twenty-three million, seven hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 113 150 180 225 226 300 339 450 452 565 678 900 1017 1130 1356 1695 2034 2260 2825 3390 4068 5085 5650 6780 8475 10170 11300 16950 20340 25425 33900 50850 101700 103471 206942 310413 413884 517355 620826 931239 1034710 1241652 1552065 1862478 2069420 2586775 3104130 3724956 4656195 5173550 6208260 7760325 9312390 10347100 11692223 15520650 18624780 23280975 23384446 31041300 35076669 46561950 46768892 58461115 70153338 93123900 105230007 116922230 140306676 175383345 210460014 233844460 292305575 350766690 420920028 526150035 584611150 701533380 876916725 1052300070 1169222300 1753833450 2104600140 2630750175 3507666900 5261500350 10523000700