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12421314030 = 23519373731579
BaseRepresentation
bin10111001000101111…
…00011010111101110
31012001122220010112210
423210113203113232
5200414324022110
65412315511250
7616545266346
oct134427432756
935048803483
1012421314030
1152a4565094
1224a7a58526
13122c529678
1485b96dd26
154ca744520
hex2e45e35ee

12421314030 has 128 divisors (see below), whose sum is σ = 32335142400. Its totient is φ = 3043090944.

The previous prime is 12421314001. The next prime is 12421314041. The reversal of 12421314030 is 3041312421.

It is a junction number, because it is equal to n+sod(n) for n = 12421313988 and 12421314006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7865781 + ... + 7867359.

It is an arithmetic number, because the mean of its divisors is an integer number (252618300).

Almost surely, 212421314030 is an apocalyptic number.

12421314030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12421314030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16167571200).

12421314030 is an abundant number, since it is smaller than the sum of its proper divisors (19913828370).

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

12421314030 is a wasteful number, since it uses less digits than its factorization.

12421314030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12421314030 its reverse (3041312421), we get a palindrome (15462626451).

The spelling of 12421314030 in words is "twelve billion, four hundred twenty-one million, three hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 373 555 570 703 746 1110 1119 1406 1579 1865 2109 2238 3158 3515 3730 4218 4737 5595 7030 7087 7895 9474 10545 11190 13801 14174 15790 21090 21261 23685 27602 30001 35435 41403 42522 47370 58423 60002 69005 70870 82806 90003 106305 116846 138010 150005 175269 180006 207015 212610 262219 292115 300010 350538 414030 450015 524438 584230 588967 786657 876345 900030 1110037 1177934 1311095 1573314 1752690 1766901 2220074 2622190 2944835 3330111 3533802 3933285 5550185 5889670 6660222 7866570 8834505 11100370 11190373 16650555 17669010 21791779 22380746 33301110 33571119 43583558 55951865 65375337 67142238 108958895 111903730 130750674 167855595 217917790 326876685 335711190 414043801 653753370 828087602 1242131403 2070219005 2484262806 4140438010 6210657015 12421314030