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10113300 = 22325217661
BaseRepresentation
bin100110100101…
…000100010100
3201000210211200
4212211010110
510042111200
61000432500
7151650561
oct46450424
921023750
1010113300
1157882aa
123478730
132131302
1414b3868
15d4b800
hex9a5114

10113300 has 108 divisors (see below), whose sum is σ = 33615036. Its totient is φ = 2534400.

The previous prime is 10113293. The next prime is 10113349. The reversal of 10113300 is 331101.

It can be written as a sum of positive squares in 6 ways, for example, as 266256 + 9847044 = 516^2 + 3138^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 14970 + ... + 15630.

Almost surely, 210113300 is an apocalyptic number.

10113300 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 10113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16807518).

10113300 is an abundant number, since it is smaller than the sum of its proper divisors (23501736).

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

10113300 is a wasteful number, since it uses less digits than its factorization.

10113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 10113300 is about 3180.1415062855. The cubic root of 10113300 is about 216.2540734528.

Adding to 10113300 its reverse (331101), we get a palindrome (10444401).

The spelling of 10113300 in words is "ten million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 661 765 850 900 1020 1275 1322 1530 1700 1983 2550 2644 3060 3305 3825 3966 5100 5949 6610 7650 7932 9915 11237 11898 13220 15300 16525 19830 22474 23796 29745 33050 33711 39660 44948 49575 56185 59490 66100 67422 99150 101133 112370 118980 134844 148725 168555 198300 202266 224740 280925 297450 337110 404532 505665 561850 594900 674220 842775 1011330 1123700 1685550 2022660 2528325 3371100 5056650 10113300