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21112502240 = 2552312234691
BaseRepresentation
bin10011101010011001…
…110011011111100000
32000111100220020102102
4103222121303133200
5321214300032430
613410550105532
71345121210444
oct235231633740
960440806372
1021112502240
118a54503465
12411264b2a8
131cb601509b
141043d5a824
15838771345
hex4ea6737e0

21112502240 has 96 divisors (see below), whose sum is σ = 52100568576. Its totient is φ = 8069501440.

The previous prime is 21112502237. The next prime is 21112502269. The reversal of 21112502240 is 4220521112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4498295 + ... + 4502985.

It is an arithmetic number, because the mean of its divisors is an integer number (542714256).

Almost surely, 221112502240 is an apocalyptic number.

21112502240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26050284288).

21112502240 is an abundant number, since it is smaller than the sum of its proper divisors (30988066336).

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

21112502240 is a wasteful number, since it uses less digits than its factorization.

21112502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 21112502240 in words is "twenty-one billion, one hundred twelve million, five hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1223 1840 2446 3680 4691 4892 6115 9382 9784 12230 18764 19568 23455 24460 28129 37528 39136 46910 48920 56258 75056 93820 97840 107893 112516 140645 150112 187640 195680 215786 225032 281290 375280 431572 450064 539465 562580 750560 863144 900128 1078930 1125160 1726288 2157860 2250320 3452576 4315720 4500640 5737093 8631440 11474186 17262880 22948372 28685465 45896744 57370930 91793488 114741860 131953139 183586976 229483720 263906278 458967440 527812556 659765695 917934880 1055625112 1319531390 2111250224 2639062780 4222500448 5278125560 10556251120 21112502240