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133124202421331 = 1124325586046977
BaseRepresentation
bin11110010001001101100100…
…110010111101110001010011
3122110100112211120001022000212
4132101031210302331301103
5114422101331304440311
61151044225254234335
740016622560135312
oct3621154462756123
9573315746038025
10133124202421331
11394657257a9400
1212b204420559ab
135938734b15294
1424c33625a4279
15105ccecb9ec8b
hex791364cbdc53

133124202421331 has 12 divisors (see below), whose sum is σ = 149729546915256. Its totient is φ = 118207537029120.

The previous prime is 133124202421307. The next prime is 133124202421349.

133124202421331 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-133124202421331 is a prime.

It is a super-2 number, since 2×1331242024213312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133124202421361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12793018286 + ... + 12793028691.

It is an arithmetic number, because the mean of its divisors is an integer number (12477462242938).

Almost surely, 2133124202421331 is an apocalyptic number.

133124202421331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133124202421331 is a deficient number, since it is larger than the sum of its proper divisors (16605344493925).

133124202421331 is a wasteful number, since it uses less digits than its factorization.

133124202421331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25586047042 (or 25586047031 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 13312420 and 2421331, that added together give a palindrome (15733751).

The spelling of 133124202421331 in words is "one hundred thirty-three trillion, one hundred twenty-four billion, two hundred two million, four hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 11 43 121 473 5203 25586046977 281446516747 1100200020011 3095911684217 12102200220121 133124202421331