Search a number
-
+
12509781102 = 2347133792239
BaseRepresentation
bin10111010011010010…
…00001110001101110
31012021211100201120000
423221221001301232
5201110000443402
65425200005130
7622001246010
oct135151016156
935254321500
1012509781102
11533a499775
1225116007a6
131244962950
148695dc1b0
154d33bbc1c
hex2e9a41c6e

12509781102 has 160 divisors (see below), whose sum is σ = 34606387200. Its totient is φ = 3289108032.

The previous prime is 12509781091. The next prime is 12509781103. The reversal of 12509781102 is 20118790521.

It is a happy number.

12509781102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12509781103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5586099 + ... + 5588337.

It is an arithmetic number, because the mean of its divisors is an integer number (216289920).

Almost surely, 212509781102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12509781102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17303193600).

12509781102 is an abundant number, since it is smaller than the sum of its proper divisors (22096606098).

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

12509781102 is a wasteful number, since it uses less digits than its factorization.

12509781102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 12509781102 in words is "twelve billion, five hundred nine million, seven hundred eighty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 379 546 567 702 758 819 1053 1134 1137 1638 2106 2239 2274 2457 2653 3411 4478 4914 4927 5306 6717 6822 7371 7959 9854 10233 13434 14742 14781 15673 15918 20151 20466 23877 29107 29562 30699 31346 34489 40302 44343 47019 47754 58214 60453 61398 68978 71631 87321 88686 94038 103467 120906 133029 141057 143262 174642 181359 203749 206934 214893 261963 266058 282114 310401 362718 399087 407498 423171 429786 523926 611247 620802 785889 798174 846342 848581 931203 1222494 1269513 1571778 1697162 1833741 1862406 2357667 2539026 2545743 2793609 3667482 4715334 5091486 5501223 5587218 5940067 7637229 11002446 11031553 11880134 15274458 16503669 17820201 22063106 22911687 33007338 33094659 35640402 45823374 53460603 66189318 68735061 77220871 99283977 106921206 137470122 154441742 160381809 198567954 231662613 297851931 320763618 463325226 481145427 595703862 694987839 893555793 962290854 1389975678 1787111586 2084963517 4169927034 6254890551 12509781102