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200111021112132 = 2232132386491791701
BaseRepresentation
bin101101011111111111111010…
…010101000011101101000100
3222020112102112010102220110100
4231133333322111003231010
5202212104332401042012
61545333422313124100
760102354436226334
oct5537777225035504
9866472463386410
10200111021112132
1158841675597089
121a53aa340b9630
1387875081a8640
14375b5d468d0c4
151820530b388dc
hexb5fffa543b44

200111021112132 has 72 divisors (see below), whose sum is σ = 544749255250200. Its totient is φ = 61572329510400.

The previous prime is 200111021112127. The next prime is 200111021112133. The reversal of 200111021112132 is 231211120111002.

It is a happy number.

200111021112132 is a `hidden beast` number, since 200 + 1 + 110 + 211 + 12 + 132 = 666.

200111021112132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7152918156036 + 192958102956096 = 2674494^2 + 13890936^2 .

It is a super-2 number, since 2×2001110211121322 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (200111021112133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110791882 + ... + 112583582.

It is an arithmetic number, because the mean of its divisors is an integer number (7565961878475).

Almost surely, 2200111021112132 is an apocalyptic number.

It is an amenable number.

200111021112132 is an abundant number, since it is smaller than the sum of its proper divisors (344638234138068).

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

200111021112132 is a wasteful number, since it uses less digits than its factorization.

200111021112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030373 (or 2030368 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 200111021112132 its reverse (231211120111002), we get a palindrome (431322141223134).

The spelling of 200111021112132 in words is "two hundred trillion, one hundred eleven billion, twenty-one million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 238649 477298 715947 954596 1431894 1791701 2147841 2863788 3102437 3583402 4295682 5375103 6204874 7166804 8591364 9307311 10750206 12409748 16125309 18614622 21500412 23292113 27921933 32250618 37229244 46584226 55843866 64501236 69876339 93168452 111687732 139752678 209629017 279505356 419258034 838516068 427587651949 855175303898 1282762955847 1710350607796 2565525911694 3848288867541 5131051823388 5558639475337 7696577735082 11117278950674 15393155470164 16675918426011 22234557901348 33351836852022 50027755278033 66703673704044 100055510556066 200111021112132