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213402310221056 = 2811937230935027
BaseRepresentation
bin110000100001011010011000…
…111001010001110100000000
31000222121001122220210100100112
4300201122120321101310000
5210432340412404033211
62033511400134210452
762643544120461455
oct6041323071216400
91028531586710315
10213402310221056
1161aa6458807740
121bb26969ab3a28
13920c9a0098b28
143a9aa2697b82c
1519a113cd5e88b
hexc21698e51d00

213402310221056 has 144 divisors (see below), whose sum is σ = 465406351058880. Its totient is φ = 96852796784640.

The previous prime is 213402310221047. The next prime is 213402310221083. The reversal of 213402310221056 is 650122013204312.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 6092491415 + ... + 6092526441.

It is an arithmetic number, because the mean of its divisors is an integer number (3231988549020).

Almost surely, 2213402310221056 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 213402310221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232703175529440).

213402310221056 is an abundant number, since it is smaller than the sum of its proper divisors (252004040837824).

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

213402310221056 is a wasteful number, since it uses less digits than its factorization.

213402310221056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38300 (or 38286 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 213402310221056 its reverse (650122013204312), we get a palindrome (863524323425368).

The spelling of 213402310221056 in words is "two hundred thirteen trillion, four hundred two billion, three hundred ten million, two hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 937 1408 1874 2309 2816 3748 4618 7496 9236 10307 14992 18472 20614 25399 29984 35027 36944 41228 50798 59968 70054 73888 82456 101596 119936 140108 147776 164912 203192 239872 280216 295552 329824 385297 406384 560432 591104 659648 770594 812768 1120864 1319296 1541188 1625536 2163533 2241728 2638592 3082376 3251072 4327066 4483456 6164752 6502144 8654132 8966912 12329504 17308264 23798863 24659008 32820299 34616528 47597726 49318016 65640598 69233056 80877343 95195452 98636032 131281196 138466112 161754686 190390904 262562392 276932224 323509372 361023289 380781808 525124784 553864448 647018744 722046578 761563616 889650773 1050249568 1294037488 1444093156 1523127232 1779301546 2100499136 2588074976 2888186312 3046254464 3558603092 4200998272 5176149952 5776372624 6092508928 7117206184 8401996544 10352299904 11552745248 14234412368 20704599808 23105490496 28468824736 46210980992 56937649472 75782070391 92421961984 113875298944 151564140782 227750597888 303128281564 606256563128 833602774301 1212513126256 1667205548602 2425026252512 3334411097204 4850052505024 6668822194408 9700105010048 13337644388816 19400210020096 26675288777632 53350577555264 106701155110528 213402310221056