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133343331 = 31121013637
BaseRepresentation
bin1111111001010…
…10100001100011
3100021220112122220
413330222201203
5233113441311
621122002123
73206254032
oct774524143
9307815586
10133343331
11692a5900
12387a6343
13218194a4
14139d0719
15ba8e206
hex7f2a863

133343331 has 24 divisors (see below), whose sum is σ = 197412432. Its totient is φ = 79992000.

The previous prime is 133343323. The next prime is 133343339.

133343331 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (133343323) and next prime (133343339).

It is not a de Polignac number, because 133343331 - 23 = 133343323 is a prime.

It is a super-2 number, since 2×1333433312 = 35560887844351122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133343339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34845 + ... + 38481.

It is an arithmetic number, because the mean of its divisors is an integer number (8225518).

Almost surely, 2133343331 is an apocalyptic number.

133343331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133343331 is a deficient number, since it is larger than the sum of its proper divisors (64069101).

133343331 is a wasteful number, since it uses less digits than its factorization.

133343331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3752 counting only the distinct ones).

The product of its digits is 2916, while the sum is 24.

The square root of 133343331 is about 11547.4382873432. The cubic root of 133343331 is about 510.8857234537.

The spelling of 133343331 in words is "one hundred thirty-three million, three hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 3 11 33 101 121 303 363 1111 3333 3637 10911 12221 36663 40007 120021 367337 440077 1102011 1320231 4040707 12122121 44447777 133343331