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21122011320 = 2335499352739
BaseRepresentation
bin10011101010111110…
…000101000010111000
32000112000210100102120
4103222332011002320
5321224213330240
613411530001240
71345265063634
oct235276050270
960460710376
1021122011320
118a59908803
124115876220
131cb7c94367
141045313dc4
158394edad0
hex4eaf850b8

21122011320 has 64 divisors (see below), whose sum is σ = 63493200000. Its totient is φ = 5621232768.

The previous prime is 21122011283. The next prime is 21122011321. The reversal of 21122011320 is 2311022112.

It is a super-2 number, since 2×211220113202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21122011320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122011321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116490 + ... + 236249.

It is an arithmetic number, because the mean of its divisors is an integer number (992081250).

Almost surely, 221122011320 is an apocalyptic number.

21122011320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122011320 is an abundant number, since it is smaller than the sum of its proper divisors (42371188680).

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

21122011320 is a wasteful number, since it uses less digits than its factorization.

21122011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353252 (or 353248 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21122011320 its reverse (2311022112), we get a palindrome (23433033432).

The spelling of 21122011320 in words is "twenty-one billion, one hundred twenty-two million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 499 998 1497 1996 2495 2994 3992 4990 5988 7485 9980 11976 14970 19960 29940 59880 352739 705478 1058217 1410956 1763695 2116434 2821912 3527390 4232868 5291085 7054780 8465736 10582170 14109560 21164340 42328680 176016761 352033522 528050283 704067044 880083805 1056100566 1408134088 1760167610 2112201132 2640251415 3520335220 4224402264 5280502830 7040670440 10561005660 21122011320