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103010015700 = 223252330134673
BaseRepresentation
bin101111111101111100…
…0000001100111010100
3100211212221111222112200
41133323320001213110
53141431031000300
6115153330044500
710304453454324
oct1377370014724
9324787458480
10103010015700
113a760517489
1217b69a19730
1399382bca17
144db2b13284
152a2d60b200
hex17fbe019d4

103010015700 has 108 divisors (see below), whose sum is σ = 322986298908. Its totient is φ = 27460224000.

The previous prime is 103010015699. The next prime is 103010015783. The reversal of 103010015700 is 7510010301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28876884624 + 74133131076 = 169932^2 + 272274^2 .

It is a super-2 number, since 2×1030100157002 (a number of 23 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, 2953564 + ... + 2988236.

Almost surely, 2103010015700 is an apocalyptic number.

103010015700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103010015700 is an abundant number, since it is smaller than the sum of its proper divisors (219976283208).

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

103010015700 is a wasteful number, since it uses less digits than its factorization.

103010015700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37994 (or 37984 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The spelling of 103010015700 in words is "one hundred three billion, ten million, fifteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 3301 6602 9903 13204 16505 19806 29709 33010 34673 39612 49515 59418 66020 69346 82525 99030 104019 118836 138692 148545 165050 173365 198060 208038 247575 297090 312057 330100 346730 416076 495150 520095 594180 624114 693460 742725 866825 990300 1040190 1248228 1485450 1560285 1733650 2080380 2600475 2970900 3120570 3467300 5200950 6241140 7801425 10401900 15602850 31205700 114455573 228911146 343366719 457822292 572277865 686733438 1030100157 1144555730 1373466876 1716833595 2060200314 2289111460 2861389325 3433667190 4120400628 5150500785 5722778650 6867334380 8584167975 10301001570 11445557300 17168335950 20602003140 25752503925 34336671900 51505007850 103010015700