Search a number
-
+
133012122001031 = 7135174928245409
BaseRepresentation
bin11110001111100101001100…
…010010000101111010000111
3122102221211112110222000112002
4132033211030102011322013
5114413232311213013111
61150520531510015515
740005544244236460
oct3617451422057207
9572854473860462
10133012122001031
1139422140283779
1212b0278264759b
13592acb25c4560
1424bbb6cd8dd67
151059e3d10b63b
hex78f94c485e87

133012122001031 has 16 divisors (see below), whose sum is σ = 163710396360000. Its totient is φ = 105238322869248.

The previous prime is 133012122001019. The next prime is 133012122001037. The reversal of 133012122001031 is 130100221210331.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133012122001031 is a prime.

It is a super-2 number, since 2×1330121220010312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133012122000994 and 133012122001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133012122001037) 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, 9413546 + ... + 18831863.

It is an arithmetic number, because the mean of its divisors is an integer number (10231899772500).

Almost surely, 2133012122001031 is an apocalyptic number.

133012122001031 is a deficient number, since it is larger than the sum of its proper divisors (30698274358969).

133012122001031 is a wasteful number, since it uses less digits than its factorization.

133012122001031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28297178.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 133012122001031 its reverse (130100221210331), we get a palindrome (263112343211362).

The spelling of 133012122001031 in words is "one hundred thirty-three trillion, twelve billion, one hundred twenty-two million, one thousand, thirty-one".

Divisors: 1 7 13 91 51749 362243 672737 4709159 28245409 197717863 367190317 2570332219 1461671670341 10231701692387 19001731714433 133012122001031