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21306103392 = 2537281112831
BaseRepresentation
bin10011110101111100…
…010101011001100000
32000222212012012021110
4103311330111121200
5322113330302032
613442103423320
71352661614340
oct236574253140
960885165243
1021306103392
119043815912
124167454b40
13201716b992
141061954d20
1584a7647cc
hex4f5f15660

21306103392 has 96 divisors (see below), whose sum is σ = 64146345984. Its totient is φ = 6065740800.

The previous prime is 21306103387. The next prime is 21306103393. The reversal of 21306103392 is 29330160312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21306103393) 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, 132417 + ... + 245247.

It is an arithmetic number, because the mean of its divisors is an integer number (668191104).

Almost surely, 221306103392 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 21306103392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32073172992).

21306103392 is an abundant number, since it is smaller than the sum of its proper divisors (42840242592).

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

21306103392 is a wasteful number, since it uses less digits than its factorization.

21306103392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113132 (or 113124 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The spelling of 21306103392 in words is "twenty-one billion, three hundred six million, one hundred three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 281 336 562 672 843 1124 1686 1967 2248 3372 3934 4496 5901 6744 7868 8992 11802 13488 15736 23604 26976 31472 47208 62944 94416 112831 188832 225662 338493 451324 676986 789817 902648 1353972 1579634 1805296 2369451 2707944 3159268 3610592 4738902 5415888 6318536 9477804 10831776 12637072 18955608 25274144 31705511 37911216 63411022 75822432 95116533 126822044 190233066 221938577 253644088 380466132 443877154 507288176 665815731 760932264 887754308 1014576352 1331631462 1521864528 1775508616 2663262924 3043729056 3551017232 5326525848 7102034464 10653051696 21306103392