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200202112021122 = 232101887329937633
BaseRepresentation
bin101101100001010100101111…
…110001010011001010000010
3222020212010122102001112101100
4231201110233301103022002
5202220102411134133442
61545443325223315230
760112060653203511
oct5541245761231202
9866763572045340
10200202112021122
1158877269a83252
121a5546162abb16
138792c940176a3
143761b96400678
151822ab2b5284c
hexb6152fc53282

200202112021122 has 96 divisors (see below), whose sum is σ = 438704475580800. Its totient is φ = 65977054617600.

The previous prime is 200202112021117. The next prime is 200202112021127. The reversal of 200202112021122 is 221120211202002.

It is a happy number.

200202112021122 is a `hidden beast` number, since 200 + 2 + 0 + 211 + 20 + 211 + 22 = 666.

200202112021122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200202112021117) and next prime (200202112021127).

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 = 200202112021095 and 200202112021104.

It is not an unprimeable number, because it can be changed into a prime (200202112021127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5319836418 + ... + 5319874050.

It is an arithmetic number, because the mean of its divisors is an integer number (4569838287300).

Almost surely, 2200202112021122 is an apocalyptic number.

200202112021122 is an abundant number, since it is smaller than the sum of its proper divisors (238502363559678).

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

200202112021122 is a wasteful number, since it uses less digits than its factorization.

200202112021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41928 (or 41925 counting only the distinct ones).

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

Adding to 200202112021122 its reverse (221120211202002), we get a palindrome (421322323223124).

The spelling of 200202112021122 in words is "two hundred trillion, two hundred two billion, one hundred twelve million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 887 909 1774 1818 2661 3299 5322 6598 7983 9897 15966 19794 29691 37633 59382 75266 89587 112899 179174 225798 268761 333199 338697 537522 666398 677394 806283 999597 1612566 1999194 2926213 2998791 3800933 5852426 5997582 7601866 8778639 11402799 17557278 22805598 26335917 33380471 34208397 52671834 66760942 68416794 100141413 124151267 200282826 248302534 295547513 300424239 372453801 591095026 600848478 744907602 886642539 1117361403 1773285078 2234722806 2659927617 3371427571 5319855234 6742855142 10114282713 12539277967 20228565426 25078555934 30342848139 37617833901 60685696278 75235667802 110122173829 112853501703 220244347658 225707003406 330366521487 660733042974 991099564461 1982199128922 11122339556729 22244679113458 33367018670187 66734037340374 100101056010561 200202112021122