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12430311320 = 2357371796703
BaseRepresentation
bin10111001001110011…
…10111111110011000
31012002021211020111202
423210321313332120
5200424124430240
65413240413332
7620014621460
oct134471677630
935067736452
1012430311320
1152a964a969
1224aaa77248
1312313599cb
1485cc32ba0
154cb420315
hex2e4e77f98

12430311320 has 128 divisors (see below), whose sum is σ = 33015859200. Its totient is φ = 4122855936.

The previous prime is 12430311307. The next prime is 12430311329. The reversal of 12430311320 is 2311303421.

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 = 12430311292 and 12430311301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430311329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1851089 + ... + 1857791.

It is an arithmetic number, because the mean of its divisors is an integer number (257936400).

Almost surely, 212430311320 is an apocalyptic number.

12430311320 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 12430311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507929600).

12430311320 is an abundant number, since it is smaller than the sum of its proper divisors (20585547880).

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

12430311320 is a wasteful number, since it uses less digits than its factorization.

12430311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6937 (or 6933 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12430311320 its reverse (2311303421), we get a palindrome (14741614741).

The spelling of 12430311320 in words is "twelve billion, four hundred thirty million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 179 185 259 280 296 358 370 518 716 740 895 1036 1253 1295 1432 1480 1790 2072 2506 2590 3580 5012 5180 6265 6623 6703 7160 10024 10360 12530 13246 13406 25060 26492 26812 33115 33515 46361 46921 50120 52984 53624 66230 67030 92722 93842 132460 134060 185444 187684 231805 234605 248011 264920 268120 370888 375368 463610 469210 496022 927220 938420 992044 1199837 1240055 1736077 1854440 1876840 1984088 2399674 2480110 3472154 4799348 4960220 5999185 6944308 8398859 8680385 9598696 9920440 11998370 13888616 16797718 17360770 23996740 33595436 34721540 41994295 44393969 47993480 67190872 69443080 83988590 88787938 167977180 177575876 221969845 310757783 335954360 355151752 443939690 621515566 887879380 1243031132 1553788915 1775758760 2486062264 3107577830 6215155660 12430311320