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12314552130 = 2325234123539
BaseRepresentation
bin10110111100000000…
…10010011101000010
31011210020000001202100
423132000102131002
5200210011132010
65353543331230
7614110652226
oct133600223502
934706001670
1012314552130
11524a275311
122478150b16
13121338914a
1484b6dc786
154c11a62c0
hex2de012742

12314552130 has 144 divisors (see below), whose sum is σ = 34254342720. Its totient is φ = 3063624960.

The previous prime is 12314552101. The next prime is 12314552143. The reversal of 12314552130 is 3125541321.

12314552130 is a `hidden beast` number, since 123 + 14 + 5 + 521 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12314552094 and 12314552103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3477901 + ... + 3481439.

It is an arithmetic number, because the mean of its divisors is an integer number (237877380).

Almost surely, 212314552130 is an apocalyptic number.

12314552130 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 12314552130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17127171360).

12314552130 is an abundant number, since it is smaller than the sum of its proper divisors (21939790590).

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

12314552130 is a wasteful number, since it uses less digits than its factorization.

12314552130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 12314552130 in words is "twelve billion, three hundred fourteen million, five hundred fifty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 41 45 46 69 82 90 115 123 138 205 207 230 246 345 369 410 414 615 690 738 943 1035 1230 1681 1845 1886 2070 2829 3362 3539 3690 4715 5043 5658 7078 8405 8487 9430 10086 10617 14145 15129 16810 16974 17695 21234 25215 28290 30258 31851 35390 38663 42435 50430 53085 63702 75645 77326 81397 84870 106170 115989 145099 151290 159255 162794 193315 231978 244191 290198 318510 347967 386630 406985 435297 488382 579945 695934 725495 732573 813970 870594 1159890 1220955 1305891 1450990 1465146 1739835 2176485 2441910 2611782 3337277 3479670 3662865 4352970 5949059 6529455 6674554 7325730 10011831 11898118 13058910 16686385 17847177 20023662 29745295 30035493 33372770 35694354 50059155 53541531 59490590 60070986 89235885 100118310 107083062 136828357 150177465 178471770 267707655 273656714 300354930 410485071 535415310 684141785 820970142 1231455213 1368283570 2052425355 2462910426 4104850710 6157276065 12314552130