Search a number
-
+
12400242300 = 22325271194057
BaseRepresentation
bin10111000110001110…
…01010111001111100
31012000012020120120100
423203013022321330
5200343430223200
65410244121100
7616201214625
oct134307127174
935005216510
1012400242300
115293682636
1224a0996190
13122805c4a4
14858c46a4c
154c8980d00
hex2e31cae7c

12400242300 has 108 divisors (see below), whose sum is σ = 39415508496. Its totient is φ = 3260140800.

The previous prime is 12400242299. The next prime is 12400242307. The reversal of 12400242300 is 324200421.

12400242300 is a `hidden beast` number, since 1 + 240 + 0 + 2 + 423 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400242307) 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 35 ways as a sum of consecutive naturals, for example, 33129 + ... + 160928.

It is an arithmetic number, because the mean of its divisors is an integer number (364958412).

Almost surely, 212400242300 is an apocalyptic number.

12400242300 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 12400242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19707754248).

12400242300 is an abundant number, since it is smaller than the sum of its proper divisors (27015266196).

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

12400242300 is a wasteful number, since it uses less digits than its factorization.

12400242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194148 (or 194138 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12400242300 its reverse (324200421), we get a palindrome (12724442721).

The spelling of 12400242300 in words is "twelve billion, four hundred million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 71 75 90 100 142 150 180 213 225 284 300 355 426 450 639 710 852 900 1065 1278 1420 1775 2130 2556 3195 3550 4260 5325 6390 7100 10650 12780 15975 21300 31950 63900 194057 388114 582171 776228 970285 1164342 1746513 1940570 2328684 2910855 3493026 3881140 4851425 5821710 6986052 8732565 9702850 11643420 13778047 14554275 17465130 19405700 27556094 29108550 34930260 41334141 43662825 55112188 58217100 68890235 82668282 87325650 124002423 137780470 165336564 174651300 206670705 248004846 275560940 344451175 413341410 496009692 620012115 688902350 826682820 1033353525 1240024230 1377804700 2066707050 2480048460 3100060575 4133414100 6200121150 12400242300