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21300313104 = 2432759358157
BaseRepresentation
bin10011110101100110…
…001111110000010000
32000222110022000111100
4103311212033300100
5322110340004404
613441335344400
71352561450130
oct236546176020
960873260440
1021300313104
119040520554
124165522100
132015bc2285
141060c88ac0
15849ebdd39
hex4f598fc10

21300313104 has 120 divisors (see below), whose sum is σ = 69282083520. Its totient is φ = 5982637824.

The previous prime is 21300313091. The next prime is 21300313193. The reversal of 21300313104 is 40131300312.

21300313104 is a `hidden beast` number, since 21 + 300 + 31 + 310 + 4 = 666.

It is a super-2 number, since 2×213003131042 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119607 + ... + 238550.

It is an arithmetic number, because the mean of its divisors is an integer number (577350696).

Almost surely, 221300313104 is an apocalyptic number.

21300313104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21300313104 is an abundant number, since it is smaller than the sum of its proper divisors (47981770416).

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

21300313104 is a wasteful number, since it uses less digits than its factorization.

21300313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358237 (or 358228 counting only the distinct ones).

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

Adding to 21300313104 its reverse (40131300312), we get a palindrome (61431613416).

The spelling of 21300313104 in words is "twenty-one billion, three hundred million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 112 118 126 144 168 177 236 252 336 354 413 472 504 531 708 826 944 1008 1062 1239 1416 1652 2124 2478 2832 3304 3717 4248 4956 6608 7434 8496 9912 14868 19824 29736 59472 358157 716314 1074471 1432628 2148942 2507099 2865256 3223413 4297884 5014198 5730512 6446826 7521297 8595768 10028396 12893652 15042594 17191536 20056792 21131263 22563891 25787304 30085188 40113584 42262526 45127782 51574608 60170376 63393789 84525052 90255564 120340752 126787578 147918841 169050104 180511128 190181367 253575156 295837682 338100208 361022256 380362734 443756523 507150312 591675364 760725468 887513046 1014300624 1183350728 1331269569 1521450936 1775026092 2366701456 2662539138 3042901872 3550052184 5325078276 7100104368 10650156552 21300313104