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200020121012200 = 23525318869822737
BaseRepresentation
bin101101011110101011010000…
…010000101100011111101000
3222020012201220010212101100111
4231132223100100230133220
5202204112201434342300
61545223550340344104
760062656030146616
oct5536532020543750
9866181803771314
10200020121012200
1158807069885655
121a5252a59a5034
13877ba7ca56368
14375705000a6b6
15181ceb07609ba
hexb5ead042c7e8

200020121012200 has 48 divisors (see below), whose sum is σ = 473821248951180. Its totient is φ = 78498462581760.

The previous prime is 200020121012141. The next prime is 200020121012249. The reversal of 200020121012200 is 2210121020002.

It is a happy number.

200020121012200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 124518237183076 + 75501883829124 = 11158774^2 + 8689182^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9434900769 + ... + 9434921968.

Almost surely, 2200020121012200 is an apocalyptic number.

200020121012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200020121012200 is an abundant number, since it is smaller than the sum of its proper divisors (273801127938980).

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

200020121012200 is a wasteful number, since it uses less digits than its factorization.

200020121012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18869822806 (or 18869822797 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200020121012200 its reverse (2210121020002), we get a palindrome (202230242032202).

The spelling of 200020121012200 in words is "two hundred trillion, twenty billion, one hundred twenty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 18869822737 37739645474 75479290948 94349113685 150958581896 188698227370 377396454740 471745568425 754792909480 943491136850 1000100605061 1886982273700 2000201210122 3773964547400 4000402420244 5000503025305 8000804840488 10001006050610 20002012101220 25002515126525 40004024202440 50005030253050 100010060506100 200020121012200