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133312122 = 23310124443
BaseRepresentation
bin1111111001000…
…10111001111010
3100021211221212000
413330202321322
5233111441442
621121201430
73206064036
oct774427172
9307757760
10133312122
1169284409
1238790276
1321808218
14139c31c6
15ba84d4c
hex7f22e7a

133312122 has 32 divisors (see below), whose sum is σ = 299194560. Its totient is φ = 43995600.

The previous prime is 133312103. The next prime is 133312129. The reversal of 133312122 is 221213331.

133312122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133312095 and 133312104.

It is not an unprimeable number, because it can be changed into a prime (133312129) 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, 6768 + ... + 17675.

It is an arithmetic number, because the mean of its divisors is an integer number (9349830).

Almost surely, 2133312122 is an apocalyptic number.

133312122 is an abundant number, since it is smaller than the sum of its proper divisors (165882438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133312122 is a wasteful number, since it uses less digits than its factorization.

133312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24555 (or 24549 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 133312122 is about 11546.0868695849. The cubic root of 133312122 is about 510.8458627510.

Adding to 133312122 its reverse (221213331), we get a palindrome (354525453).

The spelling of 133312122 in words is "one hundred thirty-three million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2727 5454 24443 48886 73329 146658 219987 439974 659961 1319922 2468743 4937486 7406229 14812458 22218687 44437374 66656061 133312122