Search a number
-
+
32131433413123 = 1117875831961863
BaseRepresentation
bin1110100111001001011101…
…01011001011101000000011
311012202201211211200210012221
413103210232223023220003
513202420133423204443
6152200550550231511
76524263605436522
oct723445653135003
9135681754623187
1032131433413123
11a268956551510
12372b354055597
1314c0c9a825295
147d12538344b9
153aac2b8aeeed
hex1d392eacba03

32131433413123 has 16 divisors (see below), whose sum is σ = 37114825660416. Its totient is φ = 27491807629440.

The previous prime is 32131433413097. The next prime is 32131433413133.

32131433413123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32131433413123 - 217 = 32131433282051 is a prime.

It is a super-2 number, since 2×321314334131232 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32131433413133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15397090 + ... + 17358952.

It is an arithmetic number, because the mean of its divisors is an integer number (2319676603776).

Almost surely, 232131433413123 is an apocalyptic number.

32131433413123 is a deficient number, since it is larger than the sum of its proper divisors (4983392247293).

32131433413123 is a wasteful number, since it uses less digits than its factorization.

32131433413123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049474.

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 3213143 and 3413123, that added together give a palindrome (6626266).

The spelling of 32131433413123 in words is "thirty-two trillion, one hundred thirty-one billion, four hundred thirty-three million, four hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 11 17 187 87583 963413 1488911 1961863 16378021 21580493 33351671 366868381 171825847129 1890084318419 2921039401193 32131433413123