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200211120021222 = 232192135912267029
BaseRepresentation
bin101101100001011101001000…
…101100000101111011100110
3222020212222220012012100110200
4231201131020230011323212
5202220224333211134342
61545451415132131330
760112530124014462
oct5541351054057346
9866788805170420
10200211120021222
1158880071839032
121a55630b006b46
138793a9b33916b
1437623ac8d94a2
151822e3d8ae94c
hexb61748b05ee6

200211120021222 has 72 divisors (see below), whose sum is σ = 457857376881840. Its totient is φ = 63219884387040.

The previous prime is 200211120021167. The next prime is 200211120021223. The reversal of 200211120021222 is 222120021112002.

It is a happy number.

200211120021222 is a `hidden beast` number, since 20 + 0 + 211 + 1 + 200 + 212 + 22 = 666.

200211120021222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200211120021195 and 200211120021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211120021223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87180804 + ... + 89447832.

It is an arithmetic number, because the mean of its divisors is an integer number (6359130234470).

Almost surely, 2200211120021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200211120021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228928688440920).

200211120021222 is an abundant number, since it is smaller than the sum of its proper divisors (257646256860618).

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

200211120021222 is a wasteful number, since it uses less digits than its factorization.

200211120021222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280666 (or 2280644 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200211120021222 its reverse (222120021112002), we get a palindrome (422331141133224).

The spelling of 200211120021222 in words is "two hundred trillion, two hundred eleven billion, one hundred twenty million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 13591 27182 40773 81546 122319 244638 258229 516458 774687 1549374 2267029 2324061 4534058 4648122 4906351 6801087 9812702 13602174 14719053 20403261 29438106 40806522 43073551 44157159 86147102 88314318 129220653 258441306 387661959 775323918 818397469 1636794938 2455192407 4910384814 7365577221 14731154442 30811191139 61622382278 92433573417 184867146834 277300720251 554601440502 585412631641 1170825263282 1756237894923 3512475789846 5268713684769 10537427369538 11122840001179 22245680002358 33368520003537 66737040007074 100105560010611 200211120021222