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133142331 = 3723275657
BaseRepresentation
bin1111110111110…
…01011100111011
3100021112022221110
413323321130323
5233041023311
621113411403
73204456030
oct773713473
9307468843
10133142331
1169178893
1238709b63
1321778b5a
141397b387
15ba4e8a6
hex7ef973b

133142331 has 16 divisors (see below), whose sum is σ = 211705344. Its totient is φ = 72773184.

The previous prime is 133142327. The next prime is 133142389. The reversal of 133142331 is 133241331.

It is not a de Polignac number, because 133142331 - 22 = 133142327 is a prime.

It is a super-2 number, since 2×1331423312 = 35453760608227122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 133142298 and 133142307.

It is not an unprimeable number, because it can be changed into a prime (133142431) 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, 137346 + ... + 138311.

It is an arithmetic number, because the mean of its divisors is an integer number (13231584).

Almost surely, 2133142331 is an apocalyptic number.

133142331 is a deficient number, since it is larger than the sum of its proper divisors (78563013).

133142331 is a wasteful number, since it uses less digits than its factorization.

133142331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275690.

The product of its digits is 648, while the sum is 21.

The square root of 133142331 is about 11538.7317760662. The cubic root of 133142331 is about 510.6288935351.

Adding to 133142331 its reverse (133241331), we get a palindrome (266383662).

The spelling of 133142331 in words is "one hundred thirty-three million, one hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 23 69 161 483 275657 826971 1929599 5788797 6340111 19020333 44380777 133142331