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21212332320 = 2535405110909
BaseRepresentation
bin10011110000010110…
…101000000100100000
32000202022202010112210
4103300112220010200
5321420324113240
613424513522120
71350442564314
oct236026500440
960668663483
1021212332320
118aa5899263
12413bb73340
1320008c943a
141053305b44
158423e0780
hex4f05a8120

21212332320 has 96 divisors (see below), whose sum is σ = 66841467840. Its totient is φ = 5654707200.

The previous prime is 21212332313. The next prime is 21212332321. The reversal of 21212332320 is 2323321212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (21212332321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939026 + ... + 1949934.

It is an arithmetic number, because the mean of its divisors is an integer number (696265290).

Almost surely, 221212332320 is an apocalyptic number.

21212332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212332320 is an abundant number, since it is smaller than the sum of its proper divisors (45629135520).

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

21212332320 is a wasteful number, since it uses less digits than its factorization.

21212332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14978 (or 14970 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21212332320 its reverse (2323321212), we get a palindrome (23535653532).

The spelling of 21212332320 in words is "twenty-one billion, two hundred twelve million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4051 8102 10909 12153 16204 20255 21818 24306 32408 32727 40510 43636 48612 54545 60765 64816 65454 81020 87272 97224 109090 121530 129632 130908 162040 163635 174544 194448 218180 243060 261816 324080 327270 349088 388896 436360 486120 523632 648160 654540 872720 972240 1047264 1309080 1745440 1944480 2618160 5236320 44192359 88384718 132577077 176769436 220961795 265154154 353538872 441923590 530308308 662885385 707077744 883847180 1060616616 1325770770 1414155488 1767694360 2121233232 2651541540 3535388720 4242466464 5303083080 7070777440 10606166160 21212332320