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2222201000201 = 7131921011135927
BaseRepresentation
bin100000010101100101100…
…000000101000100001001
321212102220000020012101012
4200111211200011010021
5242402031424001301
64420510503333305
7316356132562130
oct40254540050411
97772800205335
102222201000201
11787480594036
122ba816751235
1313172524cb50
14797ab2b4917
153cc10535ebb
hex20565805109

2222201000201 has 96 divisors (see below), whose sum is σ = 2941414414848. Its totient is φ = 1634324428800.

The previous prime is 2222201000177. The next prime is 2222201000221. The reversal of 2222201000201 is 1020001022222.

It is not a de Polignac number, because 2222201000201 - 218 = 2222200738057 is a prime.

It is a super-3 number, since 3×22222010002013 (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2222201000221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374925500 + ... + 374931426.

It is an arithmetic number, because the mean of its divisors is an integer number (30639733488).

Almost surely, 22222201000201 is an apocalyptic number.

It is an amenable number.

2222201000201 is a deficient number, since it is larger than the sum of its proper divisors (719213414647).

2222201000201 is a wasteful number, since it uses less digits than its factorization.

2222201000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2222201000201 its reverse (1020001022222), we get a palindrome (3242202022423).

The spelling of 2222201000201 in words is "two trillion, two hundred twenty-two billion, two hundred one million, two hundred one", and thus it is an aban number.

Divisors: 1 7 13 19 91 101 113 133 247 361 707 791 1313 1469 1729 1919 2147 2527 4693 5927 9191 10283 11413 13433 15029 24947 27911 32851 36461 40793 41489 77051 79891 112613 148369 174629 195377 216847 255227 285551 473993 530309 539357 598627 669751 788291 1038583 1463969 1517929 2139647 2819011 3317951 3712163 4120093 4190389 4688257 7782151 8706763 10247783 11373913 12725269 14977529 19733077 27815411 28840651 53561209 54475057 60947341 67644851 79617391 89076883 147860869 165428497 194707877 216104347 241780111 374928463 473513957 879383063 1035026083 1157999479 1285252169 1512730429 1692460777 2809356511 3143141443 6155681441 8996765183 16708278197 19665495577 22001990101 24419791211 116957947379 170938538477 317457285743 2222201000201