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23321101413222 = 2384162296959
BaseRepresentation
bin1010100110101110111011…
…11101110010101101100110
310001120110211122200200000000
411103113131331302231212
511024043103430210342
6121333322135202130
74624615430165454
oct523273575625546
9101513748620000
1023321101413222
11748147284a098
122747951816346
13100222a574162
145a8a669679d4
152a697e56944c
hex1535ddf72b66

23321101413222 has 144 divisors (see below), whose sum is σ = 53765917732800. Its totient is φ = 7581790823040.

The previous prime is 23321101413199. The next prime is 23321101413293. The reversal of 23321101413222 is 22231410112332.

23321101413222 is a `hidden beast` number, since 2 + 3 + 3 + 21 + 1 + 0 + 1 + 413 + 222 = 666.

It is a super-2 number, since 2×233211014132222 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3351210979 + ... + 3351217937.

It is an arithmetic number, because the mean of its divisors is an integer number (373374428700).

Almost surely, 223321101413222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23321101413222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26882958866400).

23321101413222 is an abundant number, since it is smaller than the sum of its proper divisors (30444816319578).

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

23321101413222 is an frugal number, since it uses more digits than its factorization.

23321101413222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13255 (or 13234 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 23321101413222 its reverse (22231410112332), we get a palindrome (45552511525554).

The spelling of 23321101413222 in words is "twenty-three trillion, three hundred twenty-one billion, one hundred one million, four hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 729 738 1107 1458 2187 2214 3321 4374 6229 6561 6642 6959 9963 12458 13122 13918 18687 19926 20877 29889 37374 41754 56061 59778 62631 89667 112122 125262 168183 179334 187893 255389 269001 285319 336366 375786 504549 510778 538002 563679 570638 766167 855957 1009098 1127358 1513647 1532334 1691037 1711914 2298501 2567871 3027294 3382074 4540941 4597002 5073111 5135742 6895503 7703613 9081882 10146222 13622823 13791006 15219333 15407226 20686509 23110839 27245646 30438666 40868469 41373018 43347611 45657999 46221678 62059527 69332517 81736938 86695222 91315998 124119054 130042833 138665034 186178581 207997551 260085666 372357162 390128499 415995102 558535743 623992653 780256998 1117071486 1170385497 1247985306 1675607229 1777252051 1871977959 2340770994 3351214458 3511156491 3554504102 3743955918 5331756153 7022312982 10533469473 10663512306 15995268459 21066938946 31600408419 31990536918 47985805377 63200816838 94801225257 95971610754 143957416131 189602450514 284403675771 287914832262 431872248393 568807351542 863744496786 1295616745179 2591233490358 3886850235537 7773700471074 11660550706611 23321101413222