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21212333352 = 23337103136207
BaseRepresentation
bin10011110000010110…
…101000010100101000
32000202022202011222000
4103300112220110220
5321420324131402
613424513531000
71350442600320
oct236026502450
960668664860
1021212333352
118aa589a011
12413bb73a60
1320008c9a52
141053306280
158423e0c1c
hex4f05a8528

21212333352 has 128 divisors (see below), whose sum is σ = 67995033600. Its totient is φ = 6001781184.

The previous prime is 21212333341. The next prime is 21212333383. The reversal of 21212333352 is 25333321212.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87633 + ... + 223839.

It is an arithmetic number, because the mean of its divisors is an integer number (531211200).

Almost surely, 221212333352 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 21212333352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33997516800).

21212333352 is an abundant number, since it is smaller than the sum of its proper divisors (46782700248).

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

21212333352 is a wasteful number, since it uses less digits than its factorization.

21212333352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136332 (or 136322 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

Adding to 21212333352 its reverse (25333321212), we get a palindrome (46545654564).

The spelling of 21212333352 in words is "twenty-one billion, two hundred twelve million, three hundred thirty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 103 108 126 168 189 206 216 252 309 378 412 504 618 721 756 824 927 1236 1442 1512 1854 2163 2472 2781 2884 3708 4326 5562 5768 6489 7416 8652 11124 12978 17304 19467 22248 25956 38934 51912 77868 136207 155736 272414 408621 544828 817242 953449 1089656 1225863 1634484 1906898 2451726 2860347 3268968 3677589 3813796 4903452 5720694 7355178 7627592 8581041 9806904 11441388 14029321 14710356 17162082 22882776 25743123 28058642 29420712 34324164 42087963 51486246 56117284 68648328 84175926 98205247 102972492 112234568 126263889 168351852 196410494 205944984 252527778 294615741 336703704 378791667 392820988 505055556 589231482 757583334 785641976 883847223 1010111112 1178462964 1515166668 1767694446 2356925928 2651541669 3030333336 3535388892 5303083338 7070777784 10606166676 21212333352