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20221301221312 = 2617192290742703
BaseRepresentation
bin1001001100100001000110…
…11110011110011111000000
32122121010201020202100110211
410212100203132132133000
510122301211103040222
6111001312035203504
74154640460250632
oct446204336363700
978533636670424
1020221301221312
11649689540a074
122327034a46594
13b38b25752679
144dca05382a52
15251008408277
hex12642379e7c0

20221301221312 has 112 divisors (see below), whose sum is σ = 44726194967040. Its totient is φ = 9014464622592.

The previous prime is 20221301221249. The next prime is 20221301221327. The reversal of 20221301221312 is 21312210312202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473512153 + ... + 473554855.

Almost surely, 220221301221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221301221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22363097483520).

20221301221312 is an abundant number, since it is smaller than the sum of its proper divisors (24504893745728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20221301221312 is a wasteful number, since it uses less digits than its factorization.

20221301221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65658 (or 65648 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 20221301221312 its reverse (21312210312202), we get a palindrome (41533511533514).

The spelling of 20221301221312 in words is "twenty trillion, two hundred twenty-one billion, three hundred one million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 304 323 544 608 646 1088 1216 1292 2584 5168 10336 20672 22907 42703 45814 85406 91628 170812 183256 341624 366512 389419 435233 683248 725951 733024 778838 811357 870466 1366496 1451902 1466048 1557676 1622714 1740932 2732992 2903804 3115352 3245428 3481864 5807608 6230704 6490856 6963728 7398961 11615216 12461408 12981712 13793069 13927456 14797922 23230432 24922816 25963424 27586138 27854912 29595844 46460864 51926848 55172276 59191688 110344552 118383376 220689104 236766752 441378208 473533504 882756416 978197621 1956395242 3912790484 7825580968 15651161936 16629359557 18585754799 31302323872 33258719114 37171509598 62604647744 66517438228 74343019196 133034876456 148686038392 266069752912 297372076784 315957831583 532139505824 594744153568 631915663166 1064279011648 1189488307136 1263831326332 2527662652664 5055325305328 10110650610656 20221301221312