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21212102331 = 3273726933829
BaseRepresentation
bin10011110000010101…
…101111111010111011
32000202022022110001200
4103300111233322323
5321420244233311
613424504545243
71350440615640
oct236025577273
960668273050
1021212102331
118aa5751492
12413ba82223
132000848854
141053285dc7
15842397556
hex4f056febb

21212102331 has 48 divisors (see below), whose sum is σ = 36097963200. Its totient is φ = 11749411584.

The previous prime is 21212102297. The next prime is 21212102339. The reversal of 21212102331 is 13320121212.

21212102331 is a `hidden beast` number, since 2 + 121 + 210 + 2 + 331 = 666.

It is not a de Polignac number, because 21212102331 - 26 = 21212102267 is a prime.

It is a super-3 number, since 3×212121023313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (21212102339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610125 + ... + 643953.

It is an arithmetic number, because the mean of its divisors is an integer number (752040900).

Almost surely, 221212102331 is an apocalyptic number.

21212102331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21212102331 is a deficient number, since it is larger than the sum of its proper divisors (14885860869).

21212102331 is a wasteful number, since it uses less digits than its factorization.

21212102331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34148 (or 34145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21212102331 its reverse (13320121212), we get a palindrome (34532223543).

The spelling of 21212102331 in words is "twenty-one billion, two hundred twelve million, one hundred two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 37 63 111 259 269 333 777 807 1883 2331 2421 5649 9953 16947 29859 33829 69671 89577 101487 209013 236803 304461 627039 710409 1251673 2131227 3755019 8761711 9100001 11265057 26285133 27300003 63700007 78855399 81900009 191100021 336700037 573300063 1010100111 2356900259 3030300333 7070700777 21212102331