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202200100201 = 11374161271733
BaseRepresentation
bin1011110001010000010…
…0001010110101101001
3201022220200011100121001
42330110010022311221
511303101211201301
6232520041515001
720415464331211
oct2742404126551
9638820140531
10202200100201
117883075a030
12332304a2a61
13160b5087308
149b02387241
1553d66b0c01
hex2f1410ad69

202200100201 has 64 divisors (see below), whose sum is σ = 237066826752. Its totient is φ = 170760960000.

The previous prime is 202200100189. The next prime is 202200100211. The reversal of 202200100201 is 102001002202.

It is not a de Polignac number, because 202200100201 - 211 = 202200098153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202200100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275852431 + ... + 275853163.

It is an arithmetic number, because the mean of its divisors is an integer number (3704169168).

Almost surely, 2202200100201 is an apocalyptic number.

It is an amenable number.

202200100201 is a deficient number, since it is larger than the sum of its proper divisors (34866726551).

202200100201 is a wasteful number, since it uses less digits than its factorization.

202200100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202200100201 its reverse (102001002202), we get a palindrome (304201102403).

The spelling of 202200100201 in words is "two hundred two billion, two hundred million, one hundred thousand, two hundred one".

Divisors: 1 11 37 41 61 271 407 451 671 733 1517 2257 2501 2981 8063 10027 11111 16531 16687 24827 27121 27511 30053 44713 92537 110297 122221 181841 198643 298331 330583 411107 491843 611647 677771 1017907 1111961 1654381 1833233 2185073 4522177 6728117 7349791 7455481 8144363 12117223 12231571 18198191 20165563 25077527 67829621 80847701 89587993 133289453 275852797 301341431 448337251 496806143 746125831 3314755741 4931709761 5464867573 18381827291 202200100201