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200100121221 = 37111366633407
BaseRepresentation
bin1011101001011011100…
…1011000101010000101
3201010111022200100222210
42322112321120222011
511234301112334341
6231531424014033
720312444652420
oct2722671305205
9633438610883
10200100121221
1177953335810
1232945161319
1315b3bca5bc0
1499835049b7
15531214ec16
hex2e96e58a85

200100121221 has 32 divisors (see below), whose sum is σ = 358221201408. Its totient is φ = 95952104640.

The previous prime is 200100121211. The next prime is 200100121337. The reversal of 200100121221 is 122121001002.

200100121221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200100121221 - 233 = 191510186629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200100121197 and 200100121206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200100121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33313701 + ... + 33319706.

It is an arithmetic number, because the mean of its divisors is an integer number (11194412544).

Almost surely, 2200100121221 is an apocalyptic number.

200100121221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200100121221 is a deficient number, since it is larger than the sum of its proper divisors (158121080187).

200100121221 is a wasteful number, since it uses less digits than its factorization.

200100121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66633441.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200100121221 its reverse (122121001002), we get a palindrome (322221122223).

The spelling of 200100121221 in words is "two hundred billion, one hundred million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 66633407 199900221 466433849 732967477 866234291 1399301547 2198902431 2598702873 5130772339 6063640037 9528577201 15392317017 18190920111 28585731603 66700040407 200100121221