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12242020520 = 2352939471103
BaseRepresentation
bin10110110011010111…
…00110100010101000
31011121011112002002102
423121223212202220
5200032424124040
65342432552532
7612240312632
oct133153464250
934534462072
1012242020520
115212335234
1224579b2748
131201342232
14841c1ba52
154b9b2a515
hex2d9ae68a8

12242020520 has 64 divisors (see below), whose sum is σ = 27692824320. Its totient is φ = 4870522624.

The previous prime is 12242020513. The next prime is 12242020537. The reversal of 12242020520 is 2502024221.

12242020520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12242020492 and 12242020501.

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 15 ways as a sum of consecutive naturals, for example, 11098289 + ... + 11099391.

It is an arithmetic number, because the mean of its divisors is an integer number (432700380).

Almost surely, 212242020520 is an apocalyptic number.

12242020520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12242020520 is an abundant number, since it is smaller than the sum of its proper divisors (15450803800).

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

12242020520 is a wasteful number, since it uses less digits than its factorization.

12242020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 12242020520 its reverse (2502024221), we get a palindrome (14744044741).

The spelling of 12242020520 in words is "twelve billion, two hundred forty-two million, twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 293 586 947 1103 1172 1465 1894 2206 2344 2930 3788 4412 4735 5515 5860 7576 8824 9470 11030 11720 18940 22060 37880 44120 277471 323179 554942 646358 1044541 1109884 1292716 1387355 1615895 2089082 2219768 2585432 2774710 3231790 4178164 5222705 5549420 6463580 8356328 10445410 11098840 12927160 20890820 41781640 306050513 612101026 1224202052 1530252565 2448404104 3060505130 6121010260 12242020520