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21002120260 = 22511535930529
BaseRepresentation
bin10011100011110100…
…101110110001000100
32000012200012020210221
4103203310232301010
5321003020322020
613352004154124
71342311035212
oct234364566104
960180166727
1021002120260
1189a8170890
1240a1698944
131c991a7bc4
141033425cb2
1582dc1a6aa
hex4e3d2ec44

21002120260 has 96 divisors (see below), whose sum is σ = 49854268800. Its totient is φ = 7365795840.

The previous prime is 21002120257. The next prime is 21002120261. The reversal of 21002120260 is 6202120012.

It is not an unprimeable number, because it can be changed into a prime (21002120261) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 672676 + ... + 703204.

It is an arithmetic number, because the mean of its divisors is an integer number (519315300).

Almost surely, 221002120260 is an apocalyptic number.

21002120260 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 21002120260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24927134400).

21002120260 is an abundant number, since it is smaller than the sum of its proper divisors (28852148540).

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

21002120260 is a wasteful number, since it uses less digits than its factorization.

21002120260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30661 (or 30659 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21002120260 its reverse (6202120012), we get a palindrome (27204240272).

The spelling of 21002120260 in words is "twenty-one billion, two million, one hundred twenty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 59 106 110 118 212 220 236 265 295 530 583 590 649 1060 1166 1180 1298 2332 2596 2915 3127 3245 5830 6254 6490 11660 12508 12980 15635 30529 31270 34397 61058 62540 68794 122116 137588 152645 171985 305290 335819 343970 610580 671638 687940 1343276 1618037 1679095 1801211 3236074 3358190 3602422 6472148 6716380 7204844 8090185 9006055 16180370 17798407 18012110 19813321 32360740 35596814 36024220 39626642 71193628 79253284 88992035 95464183 99066605 177984070 190928366 198133210 355968140 381856732 396266420 477320915 954641830 1050106013 1909283660 2100212026 4200424052 5250530065 10501060130 21002120260