Search a number
-
+
12534402300 = 2235279416343
BaseRepresentation
bin10111010110001101…
…11100110011111100
31012100112200121111020
423223012330303330
5201132301333200
65431435424140
7622420442640
oct135306746374
935315617436
1012534402300
115352385a72
1225198b5050
131249aa35c4
1486c9aac20
154d5631ea0
hex2eb1bccfc

12534402300 has 144 divisors (see below), whose sum is σ = 41497677312. Its totient is φ = 2861510400.

The previous prime is 12534402271. The next prime is 12534402319. The reversal of 12534402300 is 320443521.

It is a super-2 number, since 2×125344023002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1972929 + ... + 1979271.

Almost surely, 212534402300 is an apocalyptic number.

12534402300 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 12534402300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748838656).

12534402300 is an abundant number, since it is smaller than the sum of its proper divisors (28963275012).

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

12534402300 is a wasteful number, since it uses less digits than its factorization.

12534402300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7308 (or 7301 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 12534402300 its reverse (320443521), we get a palindrome (12854845821).

The spelling of 12534402300 in words is "twelve billion, five hundred thirty-four million, four hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 941 1050 1882 2100 2823 3764 4705 5646 6343 6587 9410 11292 12686 13174 14115 18820 19029 19761 23525 25372 26348 28230 31715 32935 38058 39522 44401 47050 56460 63430 65870 70575 76116 79044 88802 94100 95145 98805 126860 131740 133203 141150 158575 164675 177604 190290 197610 222005 266406 282300 317150 329350 380580 395220 444010 475725 494025 532812 634300 658700 666015 888020 951450 988050 1110025 1332030 1902900 1976100 2220050 2664060 3330075 4440100 5968763 6660150 11937526 13320300 17906289 23875052 29843815 35812578 41781341 59687630 71625156 83562682 89531445 119375260 125344023 149219075 167125364 179062890 208906705 250688046 298438150 358125780 417813410 447657225 501376092 596876300 626720115 835626820 895314450 1044533525 1253440230 1790628900 2089067050 2506880460 3133600575 4178134100 6267201150 12534402300