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23021133200 = 24521331142811
BaseRepresentation
bin10101011100001010…
…101001110110010000
32012102101022201212222
4111130022221312100
5334121402230300
614324210440212
71443325255262
oct253412516620
965371281788
1023021133200
11984391411a
124565893068
13222b57b310
14118562db32
158eb0d6785
hex55c2a9d90

23021133200 has 120 divisors (see below), whose sum is σ = 61484564736. Its totient is φ = 8225856000.

The previous prime is 23021133181. The next prime is 23021133203. The reversal of 23021133200 is 233112032.

It is not an unprimeable number, because it can be changed into a prime (23021133203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89795 + ... + 232605.

Almost surely, 223021133200 is an apocalyptic number.

23021133200 is a gapful number since it is divisible by the number (20) 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 23021133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30742282368).

23021133200 is an abundant number, since it is smaller than the sum of its proper divisors (38463431536).

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

23021133200 is a wasteful number, since it uses less digits than its factorization.

23021133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142873 (or 142862 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 23021133200 its reverse (233112032), we get a palindrome (23254245232).

The spelling of 23021133200 in words is "twenty-three billion, twenty-one million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 31 40 50 52 62 65 80 100 104 124 130 155 200 208 248 260 310 325 400 403 496 520 620 650 775 806 1040 1240 1300 1550 1612 2015 2480 2600 3100 3224 4030 5200 6200 6448 8060 10075 12400 16120 20150 32240 40300 80600 142811 161200 285622 571244 714055 1142488 1428110 1856543 2284976 2856220 3570275 3713086 4427141 5712440 7140550 7426172 8854282 9282715 11424880 14281100 14852344 17708564 18565430 22135705 28562200 29704688 35417128 37130860 44271410 46413575 57124400 57552833 70834256 74261720 88542820 92827150 110678525 115105666 148523440 177085640 185654300 221357050 230211332 287764165 354171280 371308600 442714100 460422664 575528330 742617200 885428200 920845328 1151056660 1438820825 1770856400 2302113320 2877641650 4604226640 5755283300 11510566600 23021133200