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133109031 = 31117237271
BaseRepresentation
bin1111110111100…
…01010100100111
3100021110122021010
413323301110213
5233033442111
621112553303
73204256656
oct773612447
9307418233
10133109031
1169155870
12386b2833
1321766953
141396d19d
15ba44aa6
hex7ef1527

133109031 has 16 divisors (see below), whose sum is σ = 205003008. Its totient is φ = 75926400.

The previous prime is 133108973. The next prime is 133109033. The reversal of 133109031 is 130901331.

It is not a de Polignac number, because 133109031 - 27 = 133108903 is a prime.

It is a super-2 number, since 2×1331090312 = 35436028267517922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133108989 and 133109007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133109033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118075 + ... + 119196.

It is an arithmetic number, because the mean of its divisors is an integer number (12812688).

Almost surely, 2133109031 is an apocalyptic number.

133109031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133109031 is a deficient number, since it is larger than the sum of its proper divisors (71893977).

133109031 is a wasteful number, since it uses less digits than its factorization.

133109031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237302.

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 133109031 is about 11537.2887196256. The cubic root of 133109031 is about 510.5863191466.

The spelling of 133109031 in words is "one hundred thirty-three million, one hundred nine thousand, thirty-one".

Divisors: 1 3 11 17 33 51 187 561 237271 711813 2609981 4033607 7829943 12100821 44369677 133109031