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20013023200 = 25521071132069
BaseRepresentation
bin10010101000110111…
…100111111111100000
31220122202000220201111
4102220313213333200
5311441313220300
613105512313104
71305640614262
oct225067477740
956582026644
1020013023200
11853a9145a5
123a663a2794
131b6c2b7581
14d7bd15b32
157c1e8e9ba
hex4a8de7fe0

20013023200 has 144 divisors (see below), whose sum is σ = 49773845520. Its totient is φ = 7856414720.

The previous prime is 20013023159. The next prime is 20013023201. The reversal of 20013023200 is 232031002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013023201) 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, 9671766 + ... + 9673834.

It is an arithmetic number, because the mean of its divisors is an integer number (345651705).

Almost surely, 220013023200 is an apocalyptic number.

20013023200 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 20013023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24886922760).

20013023200 is an abundant number, since it is smaller than the sum of its proper divisors (29760822320).

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

20013023200 is a wasteful number, since it uses less digits than its factorization.

20013023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20013023200 its reverse (232031002), we get a palindrome (20245054202).

The spelling of 20013023200 in words is "twenty billion, thirteen million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 113 160 200 214 226 400 428 452 535 565 800 856 904 1070 1130 1712 1808 2069 2140 2260 2675 2825 3424 3616 4138 4280 4520 5350 5650 8276 8560 9040 10345 10700 11300 12091 16552 17120 18080 20690 21400 22600 24182 33104 41380 42800 45200 48364 51725 60455 66208 82760 85600 90400 96728 103450 120910 165520 193456 206900 221383 233797 241820 302275 331040 386912 413800 442766 467594 483640 604550 827600 885532 935188 967280 1106915 1168985 1209100 1655200 1771064 1870376 1934560 2213830 2337970 2418200 3542128 3740752 4427660 4675940 4836400 5534575 5844925 7084256 7481504 8855320 9351880 9672800 11069150 11689850 17710640 18703760 22138300 23379700 25016279 35421280 37407520 44276600 46759400 50032558 88553200 93518800 100065116 125081395 177106400 187037600 200130232 250162790 400260464 500325580 625406975 800520928 1000651160 1250813950 2001302320 2501627900 4002604640 5003255800 10006511600 20013023200