Search a number
-
+
133427724331 = 1128434266547
BaseRepresentation
bin111110001000011101…
…0011000000000101011
3110202101210210200102211
41330100322120000223
54141224444134311
6141143523105551
712432314641516
oct1742072300053
9422353720384
10133427724331
115164a521160
1221a388122b7
13c775086895
14665a811d7d
15370dc45821
hex1f10e9802b

133427724331 has 8 divisors (see below), whose sum is σ = 145608750144. Its totient is φ = 121255237320.

The previous prime is 133427724317. The next prime is 133427724341.

It is a happy number.

133427724331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133427724331 - 211 = 133427722283 is a prime.

It is a super-2 number, since 2×1334277243312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133427724341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2102001 + ... + 2164546.

It is an arithmetic number, because the mean of its divisors is an integer number (18201093768).

Almost surely, 2133427724331 is an apocalyptic number.

133427724331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133427724331 is a deficient number, since it is larger than the sum of its proper divisors (12181025813).

133427724331 is a wasteful number, since it uses less digits than its factorization.

133427724331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269401.

The product of its digits is 254016, while the sum is 40.

It can be divided in two parts, 133427 and 724331, that added together give a palindrome (857758).

The spelling of 133427724331 in words is "one hundred thirty-three billion, four hundred twenty-seven million, seven hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 11 2843 31273 4266547 46932017 12129793121 133427724331