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211003224201 = 327211241118041
BaseRepresentation
bin1100010010000011000…
…1011011000010001001
3202011122011210101111200
43010200301123002021
511424113311133301
6240533351214413
721146566545600
oct3044061330211
9664564711450
10211003224201
1181538901420
1234a88677409
1316b88b05223
14a2d9590a37
15574e44dc86
hex3120c5b089

211003224201 has 72 divisors (see below), whose sum is σ = 386955867168. Its totient is φ = 109560528000.

The previous prime is 211003224193. The next prime is 211003224203. The reversal of 211003224201 is 102422300112.

It is a happy number.

211003224201 is a `hidden beast` number, since 211 + 0 + 0 + 32 + 2 + 420 + 1 = 666.

It is not a de Polignac number, because 211003224201 - 23 = 211003224193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211003224203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11686741 + ... + 11704781.

It is an arithmetic number, because the mean of its divisors is an integer number (5374387044).

Almost surely, 2211003224201 is an apocalyptic number.

211003224201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211003224201 is a deficient number, since it is larger than the sum of its proper divisors (175952642967).

211003224201 is a wasteful number, since it uses less digits than its factorization.

211003224201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20483 (or 20473 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211003224201 its reverse (102422300112), we get a palindrome (313425524313).

The spelling of 211003224201 in words is "two hundred eleven billion, three million, two hundred twenty-four thousand, two hundred one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 2411 4851 7233 16877 18041 21699 26521 50631 54123 79563 118139 126287 151893 162369 185647 198451 238689 354417 378861 556941 595353 884009 1063251 1136583 1299529 1389157 1670823 1786059 2652027 3898587 4167471 7956081 9724099 11695761 12502413 29172297 43496851 87516891 130490553 304477957 391471659 478465361 913433871 1435396083 2131345699 2740301613 3349257527 4306188249 6394037097 10047772581 19182111291 23444802689 30143317743 70334408067 211003224201