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133420431 = 3715711097
BaseRepresentation
bin1111111001111…
…01010110001111
3100022001110102110
413330331112033
5233123423211
621123355103
73210024564
oct774752617
9308043373
10133420431
1169348821
1238822a93
1321845601
1413a1086b
15baa6ea6
hex7f3d58f

133420431 has 16 divisors (see below), whose sum is σ = 180880128. Its totient is φ = 87460800.

The previous prime is 133420423. The next prime is 133420433. The reversal of 133420431 is 134024331.

It is not a de Polignac number, because 133420431 - 23 = 133420423 is a prime.

It is a super-2 number, since 2×1334204312 = 35602022816451522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133420398 and 133420407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133420433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121075 + ... + 122171.

It is an arithmetic number, because the mean of its divisors is an integer number (11305008).

Almost surely, 2133420431 is an apocalyptic number.

133420431 is a deficient number, since it is larger than the sum of its proper divisors (47459697).

133420431 is a wasteful number, since it uses less digits than its factorization.

133420431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 133420431 is about 11550.7762076841. The cubic root of 133420431 is about 510.9841703219.

Adding to 133420431 its reverse (134024331), we get a palindrome (267444762).

The spelling of 133420431 in words is "one hundred thirty-three million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 71 213 571 1097 1713 3291 40541 77887 121623 233661 626387 1879161 44473477 133420431