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12340103020 = 2257438324697
BaseRepresentation
bin10110111111000011…
…10000011101101100
31011212000002011222121
423133201300131230
5200233031244040
65400255122324
7614541100510
oct133741603554
934760064877
1012340103020
115262737053
1224848133a4
13121876400b
14850c70140
154c3551c4a
hex2df87076c

12340103020 has 96 divisors (see below), whose sum is σ = 30671359488. Its totient is φ = 4082545152.

The previous prime is 12340102969. The next prime is 12340103023. The reversal of 12340103020 is 2030104321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12340102985 and 12340103003.

It is not an unprimeable number, because it can be changed into a prime (12340103023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487312 + ... + 512008.

It is an arithmetic number, because the mean of its divisors is an integer number (319493328).

Almost surely, 212340103020 is an apocalyptic number.

12340103020 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 12340103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15335679744).

12340103020 is an abundant number, since it is smaller than the sum of its proper divisors (18331256468).

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

12340103020 is a wasteful number, since it uses less digits than its factorization.

12340103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24839 (or 24837 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12340103020 its reverse (2030104321), we get a palindrome (14370207341).

The spelling of 12340103020 in words is "twelve billion, three hundred forty million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 83 86 140 166 172 215 301 332 415 430 581 602 830 860 1162 1204 1505 1660 2324 2905 3010 3569 5810 6020 7138 11620 14276 17845 24697 24983 35690 49394 49966 71380 98788 99932 123485 124915 172879 246970 249830 345758 493940 499660 691516 864395 1061971 1728790 2049851 2123942 3457580 4099702 4247884 5309855 7433797 8199404 10249255 10619710 14348957 14867594 20498510 21239420 28697914 29735188 37168985 40997020 57395828 71744785 74337970 88143593 143489570 148675940 176287186 286979140 352574372 440717965 617005151 881435930 1234010302 1762871860 2468020604 3085025755 6170051510 12340103020