Search a number
-
+
13120014033 = 327297990901
BaseRepresentation
bin11000011100000001…
…11000011011010001
31020212100121202202200
430032000320123101
5203332210422113
610005515233413
7643061164530
oct141600703321
936770552680
1013120014033
1156229a6805
122661a48869
131311202119
148c668a317
1551bc5b873
hex30e0386d1

13120014033 has 48 divisors (see below), whose sum is σ = 22689139200. Its totient is φ = 7146921600.

The previous prime is 13120013983. The next prime is 13120014067. The reversal of 13120014033 is 33041002131.

It is not a de Polignac number, because 13120014033 - 210 = 13120013009 is a prime.

It is a super-2 number, since 2×131200140332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13120013997 and 13120014015.

It is not an unprimeable number, because it can be changed into a prime (13120014073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98883 + ... + 189783.

It is an arithmetic number, because the mean of its divisors is an integer number (472690400).

Almost surely, 213120014033 is an apocalyptic number.

It is an amenable number.

13120014033 is a deficient number, since it is larger than the sum of its proper divisors (9569125167).

13120014033 is a wasteful number, since it uses less digits than its factorization.

13120014033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91022 (or 91019 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13120014033 its reverse (33041002131), we get a palindrome (46161016164).

The spelling of 13120014033 in words is "thirteen billion, one hundred twenty million, fourteen thousand, thirty-three".

Divisors: 1 3 7 9 21 29 63 79 87 203 237 261 553 609 711 1659 1827 2291 4977 6873 16037 20619 48111 90901 144333 272703 636307 818109 1908921 2636129 5726763 7181179 7908387 18452903 21543537 23725161 50268253 55358709 64630611 150804759 166076127 208254191 452414277 624762573 1457779337 1874287719 4373338011 13120014033