Search a number
-
+
131212054320 = 24357910367189
BaseRepresentation
bin111101000110011011…
…0010000111100110000
3110112200101121222120120
41322030312100330300
54122210241214240
6140140013410240
712323362026264
oct1721466207460
9415611558516
10131212054320
1150712869516
122151a799980
13c4b1029939
1464ca4560a4
15362e480ad0
hex1e8cd90f30

131212054320 has 160 divisors (see below), whose sum is σ = 415911475200. Its totient is φ = 34211054592.

The previous prime is 131212054249. The next prime is 131212054331. The reversal of 131212054320 is 23450212131.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1919286 + ... + 1986474.

It is an arithmetic number, because the mean of its divisors is an integer number (2599446720).

Almost surely, 2131212054320 is an apocalyptic number.

131212054320 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 131212054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207955737600).

131212054320 is an abundant number, since it is smaller than the sum of its proper divisors (284699420880).

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

131212054320 is a wasteful number, since it uses less digits than its factorization.

131212054320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67387 (or 67381 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 131212054320 its reverse (23450212131), we get a palindrome (154662266451).

The spelling of 131212054320 in words is "one hundred thirty-one billion, two hundred twelve million, fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 103 120 158 206 237 240 309 316 395 412 474 515 618 632 790 824 948 1030 1185 1236 1264 1545 1580 1648 1896 2060 2370 2472 3090 3160 3792 4120 4740 4944 6180 6320 8137 8240 9480 12360 16274 18960 24411 24720 32548 40685 48822 65096 67189 81370 97644 122055 130192 134378 162740 195288 201567 244110 268756 325480 335945 390576 403134 488220 537512 650960 671890 806268 976440 1007835 1075024 1343780 1612536 1952880 2015670 2687560 3225072 4031340 5307931 5375120 6920467 8062680 10615862 13840934 15923793 16125360 20761401 21231724 26539655 27681868 31847586 34602335 41522802 42463448 53079310 55363736 63695172 69204670 79618965 83045604 84926896 103807005 106158620 110727472 127390344 138409340 159237930 166091208 207614010 212317240 254780688 276818680 318475860 332182416 415228020 424634480 546716893 553637360 636951720 830456040 1093433786 1273903440 1640150679 1660912080 2186867572 2733584465 3280301358 4373735144 5467168930 6560602716 8200753395 8747470288 10934337860 13121205432 16401506790 21868675720 26242410864 32803013580 43737351440 65606027160 131212054320