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21381263400 = 2335275090777
BaseRepresentation
bin10011111010011011…
…000011000000101000
32001012002121201102110
4103322123003000220
5322242100412100
613453350402320
71354563511620
oct237233030050
961162551373
1021381263400
119082190722
1241886603a0
1320298c6063
14106b91b880
1585215e250
hex4fa6c3028

21381263400 has 96 divisors (see below), whose sum is σ = 75750776640. Its totient is φ = 4887144960.

The previous prime is 21381263329. The next prime is 21381263413. The reversal of 21381263400 is 436218312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2541189 + ... + 2549588.

It is an arithmetic number, because the mean of its divisors is an integer number (789070590).

Almost surely, 221381263400 is an apocalyptic number.

21381263400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21381263400 is an abundant number, since it is smaller than the sum of its proper divisors (54369513240).

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

21381263400 is a wasteful number, since it uses less digits than its factorization.

21381263400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090803 (or 5090794 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 21381263400 in words is "twenty-one billion, three hundred eighty-one million, two hundred sixty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 5090777 10181554 15272331 20363108 25453885 30544662 35635439 40726216 50907770 61089324 71270878 76361655 101815540 106906317 122178648 127269425 142541756 152723310 178177195 203631080 213812634 254538850 285083512 305446620 356354390 381808275 427625268 509077700 534531585 610893240 712708780 763616550 855250536 890885975 1018155400 1069063170 1425417560 1527233100 1781771950 2138126340 2672657925 3054466200 3563543900 4276252680 5345315850 7127087800 10690631700 21381263400