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12434242020 = 22355311334603
BaseRepresentation
bin10111001010010001…
…10111100111100100
31012002120012221102020
423211020313213210
5200431131221040
65413500543140
7620063212314
oct134510674744
935076187366
1012434242020
115300895082
1224b0251ab0
131232104b75
1485d577444
154cb949cd0
hex2e52379e4

12434242020 has 96 divisors (see below), whose sum is σ = 35787733632. Its totient is φ = 3224352768.

The previous prime is 12434242003. The next prime is 12434242039. The reversal of 12434242020 is 2024243421.

It is a super-2 number, since 2×124342420202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342039 + ... + 376641.

It is an arithmetic number, because the mean of its divisors is an integer number (372788892).

Almost surely, 212434242020 is an apocalyptic number.

12434242020 is a gapful number since it is divisible by the number (10) 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 12434242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17893866816).

12434242020 is an abundant number, since it is smaller than the sum of its proper divisors (23353491612).

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

12434242020 is a wasteful number, since it uses less digits than its factorization.

12434242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34781 (or 34779 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12434242020 its reverse (2024243421), we get a palindrome (14458485441).

The spelling of 12434242020 in words is "twelve billion, four hundred thirty-four million, two hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 113 159 212 226 265 318 339 452 530 565 636 678 795 1060 1130 1356 1590 1695 2260 3180 3390 5989 6780 11978 17967 23956 29945 34603 35934 59890 69206 71868 89835 103809 119780 138412 173015 179670 207618 346030 359340 415236 519045 692060 1038090 1833959 2076180 3667918 3910139 5501877 7335836 7820278 9169795 11003754 11730417 15640556 18339590 19550695 22007508 23460834 27509385 36679180 39101390 46921668 55018770 58652085 78202780 110037540 117304170 207237367 234608340 414474734 621712101 828949468 1036186835 1243424202 2072373670 2486848404 3108560505 4144747340 6217121010 12434242020