Search a number
-
+
5531134352301 = 3317294496771367
BaseRepresentation
bin101000001111101000101…
…0011000101101110101101
3201120202211021002210212000
41100133101103011232231
51211110230343233201
615432545033002513
71110416444160105
oct120372123055655
921522737083760
105531134352301
111842817166728
12753b79853439
133117785c4abc
141519cb936205
1598d2684cd86
hex507d14c5bad

5531134352301 has 128 divisors (see below), whose sum is σ = 9015338880000. Its totient is φ = 3335999127552.

The previous prime is 5531134352297. The next prime is 5531134352407. The reversal of 5531134352301 is 1032534311355.

5531134352301 is a `hidden beast` number, since 5 + 5 + 3 + 1 + 1 + 343 + 5 + 2 + 301 = 666.

It is not a de Polignac number, because 5531134352301 - 22 = 5531134352297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5531134352201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4046183920 + ... + 4046185286.

It is an arithmetic number, because the mean of its divisors is an integer number (70432335000).

Almost surely, 25531134352301 is an apocalyptic number.

5531134352301 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5531134352301 is a deficient number, since it is larger than the sum of its proper divisors (3484204527699).

5531134352301 is a wasteful number, since it uses less digits than its factorization.

5531134352301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 5531134352301 its reverse (1032534311355), we get a palindrome (6563668663656).

The spelling of 5531134352301 in words is "five trillion, five hundred thirty-one billion, one hundred thirty-four million, three hundred fifty-two thousand, three hundred one".

Divisors: 1 3 9 17 27 29 51 87 153 261 449 459 493 677 783 1347 1367 1479 2031 4041 4101 4437 6093 7633 11509 12123 12303 13021 13311 18279 19633 22899 23239 34527 36909 39063 39643 58899 68697 69717 103581 117189 118929 176697 206091 209151 221357 303973 310743 333761 351567 356787 530091 613783 627453 664071 673931 911919 925459 1001283 1070361 1841349 1992213 2021793 2735757 2776377 3003849 5167541 5524047 5976639 6065379 8207271 8329131 8815217 9011547 10434311 15502623 15732803 16572141 17799707 18196137 24987393 26445651 26838311 31302933 46507869 47198409 53399121 79336953 80514933 93908799 139523607 141595227 149858689 160197363 238010859 241544799 281726397 302595019 415531091 424785681 449576067 456251287 480592089 724634397 907785057 1246593273 1348728201 1368753861 2723355171 3739779819 4046184603 4106261583 7064028547 8170065513 11219339457 12050401639 12318784749 21192085641 36151204917 63576256923 108453614751 190728770769 204856827863 325360844253 614570483589 1843711450767 5531134352301