Search a number
-
+
120002300113311 = 32711215742135657
BaseRepresentation
bin11011010010010000110110…
…011110000111000110011111
3120201220002220121211220020100
4123102100312132013012133
5111212104202312111221
61103120143504152143
734163610602626650
oct3322206636070637
9521802817756210
10120002300113311
1135266764a62400
12115612bb608653
1351c6225b11575
14218c1dc72b527
15dd180654a926
hex6d243678719f

120002300113311 has 36 divisors (see below), whose sum is σ = 217745220421456. Its totient is φ = 62338857197760.

The previous prime is 120002300113307. The next prime is 120002300113369. The reversal of 120002300113311 is 113311003200021.

120002300113311 is a `hidden beast` number, since 1 + 20 + 0 + 0 + 2 + 300 + 11 + 331 + 1 = 666.

It is not a de Polignac number, because 120002300113311 - 22 = 120002300113307 is a prime.

It is a super-2 number, since 2×1200023001133112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120002300113211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7871060206 + ... + 7871075451.

Almost surely, 2120002300113311 is an apocalyptic number.

120002300113311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120002300113311 is a deficient number, since it is larger than the sum of its proper divisors (97742920308145).

120002300113311 is a wasteful number, since it uses less digits than its factorization.

120002300113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15742135692 (or 15742135678 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120002300113311 its reverse (113311003200021), we get a palindrome (233313303313332).

The spelling of 120002300113311 in words is "one hundred twenty trillion, two billion, three hundred million, one hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 2541 7623 15742135657 47226406971 110194949599 141679220913 173163492227 330584848797 519490476681 991754546391 1212144445589 1558471430043 1904798414497 3636433336767 5714395243491 10909300010301 13333588901479 17143185730473 40000766704437 120002300113311