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2242010133221 = 1729411994991117
BaseRepresentation
bin100000101000000010001…
…101111011001011100101
321221100000112121102100112
4200220002031323023211
5243213114043230341
64433544254022405
7320660046460415
oct40500215731345
97840015542315
102242010133221
117949162a8951
123026247a7a05
1313356121a531
147a72a0b4645
153d4be64daeb
hex20a0237b2e5

2242010133221 has 64 divisors (see below), whose sum is σ = 2535624000000. Its totient is φ = 1971953786880.

The previous prime is 2242010133197. The next prime is 2242010133239. The reversal of 2242010133221 is 1223310102422.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2242010133221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242010135221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2007170555 + ... + 2007171671.

It is an arithmetic number, because the mean of its divisors is an integer number (39619125000).

Almost surely, 22242010133221 is an apocalyptic number.

It is an amenable number.

2242010133221 is a deficient number, since it is larger than the sum of its proper divisors (293613866779).

2242010133221 is a wasteful number, since it uses less digits than its factorization.

2242010133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2242010133221 its reverse (1223310102422), we get a palindrome (3465320235643).

The spelling of 2242010133221 in words is "two trillion, two hundred forty-two billion, ten million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 17 29 41 199 493 499 697 1117 1189 3383 5771 8159 8483 14471 18989 20213 20459 32393 45797 98107 99301 138703 222283 236611 246007 347803 550681 557383 593311 778549 1328113 1688117 2879729 3778811 4022387 4071341 6446207 9113603 9475511 10086287 16164107 22577921 22852703 48955393 69212797 109585519 110919217 118068889 154931251 264294487 274789819 388495951 662728387 1885626689 2007171113 3216657293 4493006279 4547687897 11266382579 54683173981 77310694249 131882949013 2242010133221