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200121332223232 = 287239467258789
BaseRepresentation
bin101101100000001001100000…
…111010110100110100000000
3222020120102010201121121210001
4231200021200322310310000
5202212241442022120412
61545342245412045344
760103201112225620
oct5540114072646400
9866512121547701
10200121332223232
1158845a86984502
121a540a31303854
13878848c484104
14375bcd1c78880
151820935e9c957
hexb60260eb4d00

200121332223232 has 72 divisors (see below), whose sum is σ = 458436944044800. Its totient is φ = 85407430305792.

The previous prime is 200121332223217. The next prime is 200121332223283. The reversal of 200121332223232 is 232322233121002.

200121332223232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2001213322232322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 200121332223232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233201107 + ... + 234057682.

It is an arithmetic number, because the mean of its divisors is an integer number (6367179778400).

Almost surely, 2200121332223232 is an apocalyptic number.

It is an amenable number.

200121332223232 is an abundant number, since it is smaller than the sum of its proper divisors (258315611821568).

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

200121332223232 is an equidigital number, since it uses as much as digits as its factorization.

200121332223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467259051 (or 467259037 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 200121332223232 its reverse (232322233121002), we get a palindrome (432443565344234).

The spelling of 200121332223232 in words is "two hundred trillion, one hundred twenty-one billion, three hundred thirty-two million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 239 256 448 478 896 956 1673 1792 1912 3346 3824 6692 7648 13384 15296 26768 30592 53536 61184 107072 214144 428288 467258789 934517578 1869035156 3270811523 3738070312 6541623046 7476140624 13083246092 14952281248 26166492184 29904562496 52332984368 59809124992 104665968736 111674850571 119618249984 209331937472 223349701142 418663874944 446699402284 781723953997 837327749888 893398804568 1563447907994 1786797609136 3126895815988 3573595218272 6253791631976 7147190436544 12507583263952 14294380873088 25015166527904 28588761746176 50030333055808 100060666111616 200121332223232