Search a number
-
+
12451514130 = 2335114192429
BaseRepresentation
bin10111001100010101…
…10000011100010010
31012010202201110022000
423212022300130102
5201000041423010
65415315054430
7620363060316
oct134612603422
935122643260
1012451514130
11530a611950
1224b5ba1416
131235871753
14861991b46
154cd20c7c0
hex2e62b0712

12451514130 has 64 divisors (see below), whose sum is σ = 36222595200. Its totient is φ = 3018548160.

The previous prime is 12451514113. The next prime is 12451514191. The reversal of 12451514130 is 3141515421.

12451514130 is a `hidden beast` number, since 1 + 2 + 4 + 515 + 14 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12451514094 and 12451514103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2093245 + ... + 2099184.

It is an arithmetic number, because the mean of its divisors is an integer number (565978050).

Almost surely, 212451514130 is an apocalyptic number.

12451514130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12451514130 is an abundant number, since it is smaller than the sum of its proper divisors (23771081070).

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

12451514130 is a wasteful number, since it uses less digits than its factorization.

12451514130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192456 (or 4192450 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 12451514130 in words is "twelve billion, four hundred fifty-one million, five hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 4192429 8384858 12577287 20962145 25154574 37731861 41924290 46116719 62886435 75463722 92233438 113195583 125772870 138350157 188659305 226391166 230583595 276700314 377318610 415050471 461167190 565977915 691750785 830100942 1131955830 1245151413 1383501570 2075252355 2490302826 4150504710 6225757065 12451514130