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200000100001221 = 321373196811189801
BaseRepresentation
bin101101011110011000100110…
…111010100110010111000101
3222020010211012211210122110100
4231132120212322212113011
5202203300201100014341
61545210435540514313
760061346631313332
oct5536304672462705
9866124184718410
10200000100001221
11587a9625505793
121a5214389ab999
138779c0bc030c0
1437560b1015989
15181c6dcc443b6
hexb5e626ea65c5

200000100001221 has 48 divisors (see below), whose sum is σ = 315389354159152. Its totient is φ = 121384728576000.

The previous prime is 200000100001153. The next prime is 200000100001231. The reversal of 200000100001221 is 122100001000002.

It can be written as a sum of positive squares in 8 ways, for example, as 5113753572321 + 194886346428900 = 2261361^2 + 13960170^2 .

It is not a de Polignac number, because 200000100001221 - 29 = 200000100000709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200000100001231) 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, 167500521 + ... + 168690321.

Almost surely, 2200000100001221 is an apocalyptic number.

It is an amenable number.

200000100001221 is a deficient number, since it is larger than the sum of its proper divisors (115389254157931).

200000100001221 is a wasteful number, since it uses less digits than its factorization.

200000100001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209574 (or 1209571 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200000100001221 its reverse (122100001000002), we get a palindrome (322100101001223).

The spelling of 200000100001221 in words is "two hundred trillion, one hundred million, one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 8541 19681 59043 177129 255853 767559 1189801 1436713 2302677 3569403 4310139 10708209 12930417 15467413 18677269 46402239 56031807 86855473 139206717 168095421 260566419 781699257 1129121149 3387363447 10162090341 23416473481 70249420443 210748261329 304414155253 913242465759 1709402564113 2739727397277 5128207692339 15384623077017 22222233333469 66666700000407 200000100001221