Search a number
-
+
120013211213 = 7414752117077
BaseRepresentation
bin110111111000101011…
…0000100011001001101
3102110202221000210212122
41233301112010121031
53431241340224323
6131044443342325
711446016315030
oct1576126043115
9373687023778
10120013211213
1146996368985
121b3142219a5
13b417b6175c
145b46dc5017
1531c6214ec8
hex1bf158464d

120013211213 has 32 divisors (see below), whose sum is σ = 143776539648. Its totient is φ = 98029900800.

The previous prime is 120013211113. The next prime is 120013211233. The reversal of 120013211213 is 312112310021.

It is a cyclic number.

It is not a de Polignac number, because 120013211213 - 216 = 120013145677 is a prime.

It is a super-2 number, since 2×1200132112132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120013211191 and 120013211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013211233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7019231 + ... + 7036307.

It is an arithmetic number, because the mean of its divisors is an integer number (4493016864).

Almost surely, 2120013211213 is an apocalyptic number.

It is an amenable number.

120013211213 is a deficient number, since it is larger than the sum of its proper divisors (23763328435).

120013211213 is a wasteful number, since it uses less digits than its factorization.

120013211213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17693.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 120013211213 its reverse (312112310021), we get a palindrome (432125521234).

The spelling of 120013211213 in words is "one hundred twenty billion, thirteen million, two hundred eleven thousand, two hundred thirteen".

Divisors: 1 7 41 47 287 329 521 1927 3647 13489 17077 21361 24487 119539 149527 171409 700157 802619 1003967 4901099 5618333 7027769 8897117 32907379 62279819 230351653 364781797 418164499 2553472579 2927151493 17144744459 120013211213