Search a number
-
+
12534342030 = 233579536959
BaseRepresentation
bin10111010110001101…
…01110000110001110
31012100112120112211000
423223012232012032
5201132242421110
65431434241130
7622420102140
oct135306560616
935315515730
1012534342030
115352344761
1225198861a6
131249a82042
1486c992c90
154d561e1c0
hex2eb1ae18e

12534342030 has 128 divisors (see below), whose sum is σ = 38245478400. Its totient is φ = 2861574912.

The previous prime is 12534342001. The next prime is 12534342031. The reversal of 12534342030 is 3024343521.

12534342030 is a `hidden beast` number, since 1 + 25 + 3 + 434 + 203 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12534341985 and 12534342003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12534342031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1797691 + ... + 1804649.

It is an arithmetic number, because the mean of its divisors is an integer number (298792800).

Almost surely, 212534342030 is an apocalyptic number.

12534342030 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 12534342030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19122739200).

12534342030 is an abundant number, since it is smaller than the sum of its proper divisors (25711136370).

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

12534342030 is a wasteful number, since it uses less digits than its factorization.

12534342030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7935 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 12534342030 its reverse (3024343521), we get a palindrome (15558685551).

The spelling of 12534342030 in words is "twelve billion, five hundred thirty-four million, three hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 953 1890 1906 2859 4765 5718 6671 6959 8577 9530 13342 13918 14295 17154 20013 20877 25731 28590 33355 34795 40026 41754 42885 48713 51462 60039 62631 66710 69590 85770 97426 100065 104385 120078 125262 128655 146139 180117 187893 200130 208770 243565 257310 292278 300195 313155 360234 375786 438417 487130 600390 626310 730695 876834 900585 939465 1315251 1461390 1801170 1878930 2192085 2630502 4384170 6576255 6631927 13152510 13263854 19895781 33159635 39791562 46423489 59687343 66319270 92846978 99478905 119374686 139270467 179062029 198957810 232117445 278540934 298436715 358124058 417811401 464234890 596873430 696352335 835622802 895310145 1253434203 1392704670 1790620290 2089057005 2506868406 4178114010 6267171015 12534342030