Search a number
-
+
331502205133 = 111031198124421
BaseRepresentation
bin1001101001011110001…
…00100011100011001101
31011200122221212212011101
410310233010203203031
520412404031031013
6412142350423101
732643635152111
oct4645704434315
91150587785141
10331502205133
11118653397280
12542b7501a91
13253504a8888
141208aca5741
15895311a8dd
hex4d2f1238cd

331502205133 has 16 divisors (see below), whose sum is σ = 365195256192. Its totient is φ = 298402632000.

The previous prime is 331502205127. The next prime is 331502205157.

331502205133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331502205133 - 213 = 331502196941 is a prime.

It is a super-2 number, since 2×3315022051332 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331502205103) 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 15 ways as a sum of consecutive naturals, for example, 13562263 + ... + 13586683.

It is an arithmetic number, because the mean of its divisors is an integer number (22824703512).

Almost surely, 2331502205133 is an apocalyptic number.

It is an amenable number.

331502205133 is a deficient number, since it is larger than the sum of its proper divisors (33693051059).

331502205133 is a wasteful number, since it uses less digits than its factorization.

331502205133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36516.

The product of its (nonzero) digits is 8100, while the sum is 28.

It can be divided in two parts, 331502 and 205133, that added together give a palindrome (536635).

The spelling of 331502205133 in words is "three hundred thirty-one billion, five hundred two million, two hundred five thousand, one hundred thirty-three".

Divisors: 1 11 103 1133 11981 24421 131791 268631 1234043 2515363 13574473 27668993 292588001 3218468011 30136564103 331502205133