Search a number
-
+
133405831 = 1337337823
BaseRepresentation
bin1111111001110…
…01110010000111
3100022000201101201
413330321302013
5233122441311
621123203331
73206634166
oct774716207
9308021351
10133405831
1169338859
1238816547
132183ba80
1413a093dd
15baa29c1
hex7f39c87

133405831 has 16 divisors (see below), whose sum is σ = 148168384. Its totient is φ = 119314944.

The previous prime is 133405813. The next prime is 133405837. The reversal of 133405831 is 138504331.

It is a cyclic number.

It is not a de Polignac number, because 133405831 - 211 = 133403783 is a prime.

It is a super-2 number, since 2×1334058312 = 35594231489601122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133405831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133405837) 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, 161686 + ... + 162508.

It is an arithmetic number, because the mean of its divisors is an integer number (9260524).

Almost surely, 2133405831 is an apocalyptic number.

133405831 is a deficient number, since it is larger than the sum of its proper divisors (14762553).

133405831 is a wasteful number, since it uses less digits than its factorization.

133405831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 133405831 is about 11550.1441982341. The cubic root of 133405831 is about 510.9655308952.

The spelling of 133405831 in words is "one hundred thirty-three million, four hundred five thousand, eight hundred thirty-one".

Divisors: 1 13 37 337 481 823 4381 10699 12469 30451 162097 277351 395863 3605563 10261987 133405831