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221021113414101 = 371113226932437243
BaseRepresentation
bin110010010000010001111100…
…111100111111000111010101
31001222120102010102010112222020
4302100101330330333013111
5212432202220013222401
62102023410415523353
764361151142214550
oct6220217474770725
91058512112115866
10221021113414101
1164473589571840
1220957457829559
139643280ab2590
143c8169c401697
151a843ee03cd36
hexc9047cf3f1d5

221021113414101 has 64 divisors (see below), whose sum is σ = 395848555898880. Its totient is φ = 105937437392640.

The previous prime is 221021113414067. The next prime is 221021113414159. The reversal of 221021113414101 is 101414311120122.

It is not a de Polignac number, because 221021113414101 - 29 = 221021113413589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021113412101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9404815 + ... + 23032428.

It is an arithmetic number, because the mean of its divisors is an integer number (6185133685920).

Almost surely, 2221021113414101 is an apocalyptic number.

221021113414101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221021113414101 is a deficient number, since it is larger than the sum of its proper divisors (174827442484779).

221021113414101 is a wasteful number, since it uses less digits than its factorization.

221021113414101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32439546.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 221021113414101 its reverse (101414311120122), we get a palindrome (322435424534223).

The spelling of 221021113414101 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred thirteen million, four hundred fourteen thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 2269 3003 6807 15883 24959 29497 47649 74877 88491 174713 206479 324467 524139 619437 973401 2271269 6813807 32437243 97311729 227060701 356809673 421684159 681182103 1070429019 1265052477 2497667711 2951789113 4638525749 7493003133 8855367339 13915577247 32469680243 73600104367 97409040729 220800313101 515200730569 809601148037 956801356771 1545602191707 2428803444111 2870404070313 5667208036259 6697609497397 10524814924481 17001624108777 20092828492191 31574444773443 73673704471367 221021113414101