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22012121313 = 3271379521653
BaseRepresentation
bin10100100000000001…
…100101000011100001
32002211001200121210100
4110200001211003201
5330040100340223
614040124053013
71406323641540
oct244001450341
962731617710
1022012121313
1193762a55a6
124323994169
1320ca507270
1410cb618157
1588c725043
hex5200650e1

22012121313 has 96 divisors (see below), whose sum is σ = 39764874240. Its totient is φ = 11424291840.

The previous prime is 22012121311. The next prime is 22012121317. The reversal of 22012121313 is 31312121022.

22012121313 is a `hidden beast` number, since 220 + 12 + 121 + 313 = 666.

It is not a de Polignac number, because 22012121313 - 21 = 22012121311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22012121311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33708895 + ... + 33709547.

It is an arithmetic number, because the mean of its divisors is an integer number (414217440).

Almost surely, 222012121313 is an apocalyptic number.

It is an amenable number.

22012121313 is a deficient number, since it is larger than the sum of its proper divisors (17752752927).

22012121313 is a wasteful number, since it uses less digits than its factorization.

22012121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22012121313 its reverse (31312121022), we get a palindrome (53324242335).

The spelling of 22012121313 in words is "twenty-two billion, twelve million, one hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 7 9 13 21 39 63 79 91 117 237 273 521 553 653 711 819 1027 1563 1659 1959 3081 3647 4571 4689 4977 5877 6773 7189 8489 9243 10941 13713 20319 21567 25467 32823 41139 41159 47411 51587 59423 60957 64701 76401 123477 142233 154761 178269 288113 340213 361109 370431 426699 464283 534807 535067 670631 864339 1020639 1083327 1605201 2011893 2381491 2593017 3061917 3249981 3745469 4422769 4694417 4815603 6035679 7144473 11236407 13268307 14083251 21433419 26876827 30959383 33709221 39804921 42249753 80630481 92878149 188137789 241891443 278634447 349398751 564413367 1048196253 1693240101 2445791257 3144588759 7337373771 22012121313