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10133331200 = 28527432131
BaseRepresentation
bin10010110111111111…
…00101110100000000
3222011012122120010222
421123333211310000
5131223113044300
64353304242212
7506053615436
oct113377456400
928135576128
1010133331200
114330001793
121b69770368
13c56501285
146c1b4cd56
153e4948785
hex25bfe5d00

10133331200 has 108 divisors (see below), whose sum is σ = 25127120928. Its totient is φ = 4045977600.

The previous prime is 10133331167. The next prime is 10133331203. The reversal of 10133331200 is 213333101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133331203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4754135 + ... + 4756265.

Almost surely, 210133331200 is an apocalyptic number.

10133331200 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 10133331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563560464).

10133331200 is an abundant number, since it is smaller than the sum of its proper divisors (14993789728).

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

10133331200 is an equidigital number, since it uses as much as digits as its factorization.

10133331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10133331200 its reverse (213333101), we get a palindrome (10346664301).

The spelling of 10133331200 in words is "ten billion, one hundred thirty-three million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 743 800 1280 1486 1600 2131 2972 3200 3715 4262 5944 6400 7430 8524 10655 11888 14860 17048 18575 21310 23776 29720 34096 37150 42620 47552 53275 59440 68192 74300 85240 95104 106550 118880 136384 148600 170480 190208 213100 237760 272768 297200 340960 426200 475520 545536 594400 681920 852400 951040 1188800 1363840 1583333 1704800 2377600 2727680 3166666 3409600 4755200 6333332 6819200 7916665 12666664 13638400 15833330 25333328 31666660 39583325 50666656 63333320 79166650 101333312 126666640 158333300 202666624 253333280 316666600 405333248 506666560 633333200 1013333120 1266666400 2026666240 2533332800 5066665600 10133331200