Search a number
-
+
13134222300330 = 2335371314736967
BaseRepresentation
bin1011111100100000110010…
…1001111001010010101010
31201111121201112102212002000
42333020030221321102222
53210142341402102310
643533440050151430
72523626162336265
oct277101451712252
951447645385060
1013134222300330
11420421309762a
121581600582576
137437235460c1
143359b218dcdc
1517b9b80324c0
hexbf20ca794aa

13134222300330 has 64 divisors (see below), whose sum is σ = 35971203444480. Its totient is φ = 3407798215872.

The previous prime is 13134222300289. The next prime is 13134222300383. The reversal of 13134222300330 is 3300322243131.

13134222300330 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 2 + 22 + 300 + 330 = 666.

13134222300330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13134222300294 and 13134222300303.

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, 657358494 + ... + 657378473.

It is an arithmetic number, because the mean of its divisors is an integer number (562050053820).

Almost surely, 213134222300330 is an apocalyptic number.

13134222300330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13134222300330 is an abundant number, since it is smaller than the sum of its proper divisors (22836981144150).

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

13134222300330 is a wasteful number, since it uses less digits than its factorization.

13134222300330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314737020 (or 1314737014 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13134222300330 its reverse (3300322243131), we get a palindrome (16434544543461).

The spelling of 13134222300330 in words is "thirteen trillion, one hundred thirty-four billion, two hundred twenty-two million, three hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 1314736967 2629473934 3944210901 6573684835 7888421802 11832632703 13147369670 19721054505 23665265406 35497898109 39442109010 48645267779 59163163515 70995796218 97290535558 118326327030 145935803337 177489490545 243226338895 291871606674 354978981090 437807410011 486452677790 729679016685 875614820022 1313422230033 1459358033370 2189037050055 2626844460066 4378074100110 6567111150165 13134222300330