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203122001132200 = 23525390721127291
BaseRepresentation
bin101110001011110100000110…
…101110010011101010101000
3222122012021101111112222211101
4232023310012232103222220
5203110422324242212300
62000000543100411144
760533036354142643
oct5613640656235250
9878167344488741
10203122001132200
11597a2614294407
121a9464a3246ab4
138945426758927
14382322b934a5a
151873a092c1b6a
hexb8bd06b93aa8

203122001132200 has 96 divisors (see below), whose sum is σ = 481699722324960. Its totient is φ = 79627910918400.

The previous prime is 203122001132191. The next prime is 203122001132231. The reversal of 203122001132200 is 2231100221302.

203122001132200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949446 + ... + 20177845.

It is an arithmetic number, because the mean of its divisors is an integer number (5017705440885).

Almost surely, 2203122001132200 is an apocalyptic number.

203122001132200 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 203122001132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240849861162480).

203122001132200 is an abundant number, since it is smaller than the sum of its proper divisors (278577721192760).

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

203122001132200 is a wasteful number, since it uses less digits than its factorization.

203122001132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21128267 (or 21128258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 203122001132200 its reverse (2231100221302), we get a palindrome (205353101353502).

The spelling of 203122001132200 in words is "two hundred three trillion, one hundred twenty-two billion, one million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 907 1060 1325 1814 2120 2650 3628 4535 5300 7256 9070 10600 18140 22675 36280 45350 48071 90700 96142 181400 192284 240355 384568 480710 961420 1201775 1922840 2403550 4807100 9614200 21127291 42254582 84509164 105636455 169018328 211272910 422545820 528182275 845091640 1056364550 1119746423 2112729100 2239492846 4225458200 4478985692 5598732115 8957971384 11197464230 19162452937 22394928460 27993660575 38324905874 44789856920 55987321150 76649811748 95812264685 111974642300 153299623496 191624529370 223949284600 383249058740 479061323425 766498117480 958122646850 1015610005661 1916245293700 2031220011322 3832490587400 4062440022644 5078050028305 8124880045288 10156100056610 20312200113220 25390250141525 40624400226440 50780500283050 101561000566100 203122001132200