Search a number
-
+
130553244354 = 231389127373397
BaseRepresentation
bin111100110010110010…
…1000110101011000010
3110110222110221222012110
41321211211012223002
54114333112304404
6135550401040150
712301142160441
oct1714545065302
9413873858173
10130553244354
11504049a2875
1221376026056
13c4076ac960
146466b60d58
1535e16e7b89
hex1e65946ac2

130553244354 has 128 divisors (see below), whose sum is σ = 288082206720. Its totient is φ = 39201490944.

The previous prime is 130553244347. The next prime is 130553244359. The reversal of 130553244354 is 453442355031.

It is a super-2 number, since 2×1305532443542 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (130553244359) 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, 328849284 + ... + 328849680.

It is an arithmetic number, because the mean of its divisors is an integer number (2250642240).

Almost surely, 2130553244354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130553244354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144041103360).

130553244354 is an abundant number, since it is smaller than the sum of its proper divisors (157528962366).

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

130553244354 is a wasteful number, since it uses less digits than its factorization.

130553244354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004.

The product of its (nonzero) digits is 432000, while the sum is 39.

Adding to 130553244354 its reverse (453442355031), we get a palindrome (583995599385).

The spelling of 130553244354 in words is "one hundred thirty billion, five hundred fifty-three million, two hundred forty-four thousand, three hundred fifty-four".

Divisors: 1 2 3 6 13 26 39 78 89 127 178 254 267 373 381 397 534 746 762 794 1119 1157 1191 1651 2238 2314 2382 3302 3471 4849 4953 5161 6942 9698 9906 10322 11303 14547 15483 22606 29094 30966 33197 33909 35333 47371 50419 66394 67818 70666 94742 99591 100838 105999 142113 146939 148081 151257 199182 211998 284226 293878 296162 302514 431561 440817 444243 459329 615823 655447 863122 881634 888486 918658 1231646 1294683 1310894 1377987 1847469 1925053 1966341 2589366 2755974 3694938 3850106 3932682 4216019 4487291 5775159 8432038 8974582 11550318 12648057 13179209 13461873 18806287 25296114 26358418 26923746 37612574 39537627 54808247 56418861 58334783 79075254 109616494 112837722 116669566 164424741 171329717 175004349 244481731 328849482 342659434 350008698 488963462 513989151 733445193 1027978302 1466890386 1673759543 3347519086 5021278629 10042557258 21758874059 43517748118 65276622177 130553244354