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12413430020 = 2252693676287
BaseRepresentation
bin10111000111110010…
…11110100100000100
31012001010001120201102
423203321132210010
5200410314230040
65411434515232
7616421262035
oct134371364404
935033046642
1012413430020
1152a006a782
1224a5295b18
13122a9c8c84
1485a8baa8c
154c9bd8515
hex2e3e5e904

12413430020 has 48 divisors (see below), whose sum is σ = 26240578560. Its totient is φ = 4932649344.

The previous prime is 12413429993. The next prime is 12413430023. The reversal of 12413430020 is 2003431421.

12413430020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124134300202 (a number of 21 digits) contains 22 as substring.

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 = 12413429974 and 12413430001.

It is not an unprimeable number, because it can be changed into a prime (12413430023) 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 15 ways as a sum of consecutive naturals, for example, 1971317 + ... + 1977603.

It is an arithmetic number, because the mean of its divisors is an integer number (546678720).

Almost surely, 212413430020 is an apocalyptic number.

12413430020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12413430020 is an abundant number, since it is smaller than the sum of its proper divisors (13827148540).

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

12413430020 is a wasteful number, since it uses less digits than its factorization.

12413430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6932 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12413430020 its reverse (2003431421), we get a palindrome (14416861441).

The spelling of 12413430020 in words is "twelve billion, four hundred thirteen million, four hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 269 367 538 734 1076 1345 1468 1835 2690 3670 5380 6287 7340 12574 25148 31435 62870 98723 125740 197446 394892 493615 987230 1691203 1974460 2307329 3382406 4614658 6764812 8456015 9229316 11536645 16912030 23073290 33824060 46146580 620671501 1241343002 2482686004 3103357505 6206715010 12413430020