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10133031300 = 2235276916983
BaseRepresentation
bin10010110111111100…
…11100100110000100
3222011012002022202120
421123332130212010
5131223024000200
64353254005540
7506051226210
oct113376344604
928135068676
1010133031300
11432a917437
121b696468b0
13c56427912
146c1ab1940
153e48d99a0
hex25bf9c984

10133031300 has 144 divisors (see below), whose sum is σ = 33559852032. Its totient is φ = 2312438400.

The previous prime is 10133031299. The next prime is 10133031319. The reversal of 10133031300 is 313033101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10133031300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1447609 + ... + 1454591.

It is an arithmetic number, because the mean of its divisors is an integer number (233054528).

Almost surely, 210133031300 is an apocalyptic number.

10133031300 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 10133031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16779926016).

10133031300 is an abundant number, since it is smaller than the sum of its proper divisors (23426820732).

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

10133031300 is a wasteful number, since it uses less digits than its factorization.

10133031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7698 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 10133031300 its reverse (313033101), we get a palindrome (10446064401).

The spelling of 10133031300 in words is "ten billion, one hundred thirty-three million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 691 700 1050 1382 2073 2100 2764 3455 4146 4837 6910 6983 8292 9674 10365 13820 13966 14511 17275 19348 20730 20949 24185 27932 29022 34550 34915 41460 41898 48370 48881 51825 58044 69100 69830 72555 83796 96740 97762 103650 104745 120925 139660 145110 146643 174575 195524 207300 209490 241850 244405 290220 293286 349150 362775 418980 483700 488810 523725 586572 698300 725550 733215 977620 1047450 1222025 1451100 1466430 2094900 2444050 2932860 3666075 4825253 4888100 7332150 9650506 14475759 14664300 19301012 24126265 28951518 33776771 48252530 57903036 67553542 72378795 96505060 101330313 120631325 135107084 144757590 168883855 202660626 241262650 289515180 337767710 361893975 405321252 482525300 506651565 675535420 723787950 844419275 1013303130 1447575900 1688838550 2026606260 2533257825 3377677100 5066515650 10133031300