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12223313130 = 2357219437641
BaseRepresentation
bin10110110001001000…
…01111010011101010
31011112212022122101010
423120210033103222
5200013132010010
65340524004350
7611622306300
oct133044172352
934485278333
1012223313130
115202818086
1224516906b6
1311ca4c2282
1483d54c270
154b8182620
hex2d890f4ea

12223313130 has 96 divisors (see below), whose sum is σ = 35921655360. Its totient is φ = 2646846720.

The previous prime is 12223313107. The next prime is 12223313143. The reversal of 12223313130 is 3131332221.

12223313130 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 12223313097 and 12223313106.

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 47 ways as a sum of consecutive naturals, for example, 190891 + ... + 246750.

It is an arithmetic number, because the mean of its divisors is an integer number (374183910).

Almost surely, 212223313130 is an apocalyptic number.

12223313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12223313130 is an abundant number, since it is smaller than the sum of its proper divisors (23698342230).

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

12223313130 is a wasteful number, since it uses less digits than its factorization.

12223313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437684 (or 437677 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12223313130 its reverse (3131332221), we get a palindrome (15354645351).

The spelling of 12223313130 in words is "twelve billion, two hundred twenty-three million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2793 3990 4655 5586 9310 13965 27930 437641 875282 1312923 2188205 2625846 3063487 4376410 6126974 6564615 8315179 9190461 13129230 15317435 16630358 18380922 21444409 24945537 30634870 41575895 42888818 45952305 49891074 58206253 64333227 83151790 91904610 107222045 116412506 124727685 128666454 174618759 214444090 249455370 291031265 321666135 349237518 407443771 582062530 643332270 814887542 873093795 1222331313 1746187590 2037218855 2444662626 4074437710 6111656565 12223313130