Search a number
-
+
133134431331 = 3119091443777
BaseRepresentation
bin111101111111101101…
…1100011010001100011
3110201122100220212002010
41323333123203101203
54140124403300311
6141054444524003
712422123665056
oct1737733432143
9421570825063
10133134431331
1151509a08850
1221976550603
13c729396825
14662d8a6a9d
1536e310dda6
hex1eff6e3463

133134431331 has 16 divisors (see below), whose sum is σ = 193671819648. Its totient is φ = 80678476800.

The previous prime is 133134431303. The next prime is 133134431347.

133134431331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133134431331 - 25 = 133134431299 is a prime.

It is a super-2 number, since 2×1331344313312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133134431371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78115 + ... + 521891.

It is an arithmetic number, because the mean of its divisors is an integer number (12104488728).

Almost surely, 2133134431331 is an apocalyptic number.

133134431331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133134431331 is a deficient number, since it is larger than the sum of its proper divisors (60537388317).

133134431331 is a wasteful number, since it uses less digits than its factorization.

133134431331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452882.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 133134 and 431331, that added together give a palindrome (564465).

The spelling of 133134431331 in words is "one hundred thirty-three billion, one hundred thirty-four million, four hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 33 9091 27273 100001 300003 443777 1331331 4881547 14644641 4034376707 12103130121 44378143777 133134431331