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21013132320 = 253354864151
BaseRepresentation
bin10011100100011110…
…101111010000100000
32000020102220201112000
4103210132233100200
5321013330213240
613353040204000
71342503451305
oct234436572040
960212821460
1021013132320
118a03402364
1240a5309600
131c9b56230b
141034a910ac
1582eb93430
hex4e47af420

21013132320 has 96 divisors (see below), whose sum is σ = 73545978240. Its totient is φ = 5603500800.

The previous prime is 21013132313. The next prime is 21013132321. The reversal of 21013132320 is 2323131012.

21013132320 is a `hidden beast` number, since 210 + 1 + 3 + 132 + 320 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21013132293 and 21013132302.

It is not an unprimeable number, because it can be changed into a prime (21013132321) 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, 2427756 + ... + 2436395.

It is an arithmetic number, because the mean of its divisors is an integer number (766103940).

Almost surely, 221013132320 is an apocalyptic number.

21013132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21013132320 is an abundant number, since it is smaller than the sum of its proper divisors (52532845920).

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

21013132320 is a wasteful number, since it uses less digits than its factorization.

21013132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864175 (or 4864161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21013132320 its reverse (2323131012), we get a palindrome (23336263332).

The spelling of 21013132320 in words is "twenty-one billion, thirteen million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 4864151 9728302 14592453 19456604 24320755 29184906 38913208 43777359 48641510 58369812 72962265 77826416 87554718 97283020 116739624 131332077 145924530 155652832 175109436 194566040 218886795 233479248 262664154 291849060 350218872 389132080 437773590 466958496 525328308 583698120 656660385 700437744 778264160 875547180 1050656616 1167396240 1313320770 1400875488 1751094360 2101313232 2334792480 2626641540 3502188720 4202626464 5253283080 7004377440 10506566160 21013132320