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22301011020 = 22352919167103
BaseRepresentation
bin10100110001001111…
…100110110001001100
32010120012021201222010
4110301033212301030
5331133024323040
614124524021220
71416432315561
oct246117466114
963505251863
1022301011020
119504380722
1243a4691810
132145315012
141117b38868
158a7c8be80
hex5313e6c4c

22301011020 has 96 divisors (see below), whose sum is σ = 64935198720. Its totient is φ = 5711722240.

The previous prime is 22301011013. The next prime is 22301011039. The reversal of 22301011020 is 2011010322.

It is a super-2 number, since 2×223010110202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22301010987 and 22301011005.

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 31 ways as a sum of consecutive naturals, for example, 298789 + ... + 365891.

It is an arithmetic number, because the mean of its divisors is an integer number (676408320).

Almost surely, 222301011020 is an apocalyptic number.

22301011020 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 22301011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32467599360).

22301011020 is an abundant number, since it is smaller than the sum of its proper divisors (42634187700).

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

22301011020 is a wasteful number, since it uses less digits than its factorization.

22301011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67335 (or 67333 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22301011020 its reverse (2011010322), we get a palindrome (24312021342).

The spelling of 22301011020 in words is "twenty-two billion, three hundred one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 191 290 348 382 435 573 580 764 870 955 1146 1740 1910 2292 2865 3820 5539 5730 11078 11460 16617 22156 27695 33234 55390 66468 67103 83085 110780 134206 166170 201309 268412 332340 335515 402618 671030 805236 1006545 1342060 1945987 2013090 3891974 4026180 5837961 7783948 9729935 11675922 12816673 19459870 23351844 25633346 29189805 38450019 38919740 51266692 58379610 64083365 76900038 116759220 128166730 153800076 192250095 256333460 371683517 384500190 743367034 769000380 1115050551 1486734068 1858417585 2230101102 3716835170 4460202204 5575252755 7433670340 11150505510 22301011020