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10133110200 = 23352103316349
BaseRepresentation
bin10010110111111101…
…01111110110111000
3222011012020022222210
421123332233312320
5131223034011300
64353255415120
7506052005223
oct113376576670
928135208883
1010133110200
11432a970744
121b696844a0
13c564547c5
146c1ad25ba
153e4903050
hex25bfafdb8

10133110200 has 96 divisors (see below), whose sum is σ = 31444974000. Its totient is φ = 2699381760.

The previous prime is 10133110187. The next prime is 10133110231. The reversal of 10133110200 is 201133101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611626 + ... + 627974.

Almost surely, 210133110200 is an apocalyptic number.

10133110200 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 10133110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15722487000).

10133110200 is an abundant number, since it is smaller than the sum of its proper divisors (21311863800).

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

10133110200 is a wasteful number, since it uses less digits than its factorization.

10133110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17401 (or 17392 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10133110200 its reverse (201133101), we get a palindrome (10334243301).

The spelling of 10133110200 in words is "ten billion, one hundred thirty-three million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1033 2066 3099 4132 5165 6198 8264 10330 12396 15495 16349 20660 24792 25825 30990 32698 41320 49047 51650 61980 65396 77475 81745 98094 103300 123960 130792 154950 163490 196188 206600 245235 309900 326980 392376 408725 490470 619800 653960 817450 980940 1226175 1634900 1961880 2452350 3269800 4904700 9809400 16888517 33777034 50665551 67554068 84442585 101331102 135108136 168885170 202662204 253327755 337770340 405324408 422212925 506655510 675540680 844425850 1013311020 1266638775 1688851700 2026622040 2533277550 3377703400 5066555100 10133110200