Search a number
-
+
133312000131 = 32312332050733
BaseRepresentation
bin111110000101000000…
…0111011000010000011
3110202002202001021200100
41330022000323002003
54141010333001011
6141124230453443
712426411206262
oct1741200730203
9422082037610
10133312000131
11515a016a922
1221a05b04283
13c7570c8c1b
1466492ca5d9
1537039d6d56
hex1f0a03b083

133312000131 has 24 divisors (see below), whose sum is σ = 199626650496. Its totient is φ = 85638568320.

The previous prime is 133312000127. The next prime is 133312000207. The reversal of 133312000131 is 131000213331.

It is a happy number.

133312000131 is a `hidden beast` number, since 1 + 3 + 331 + 200 + 0 + 131 = 666.

It is not a de Polignac number, because 133312000131 - 22 = 133312000127 is a prime.

It is a super-2 number, since 2×1333120001312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133312000111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 960360 + ... + 1090373.

It is an arithmetic number, because the mean of its divisors is an integer number (8317777104).

Almost surely, 2133312000131 is an apocalyptic number.

133312000131 is a deficient number, since it is larger than the sum of its proper divisors (66314650365).

133312000131 is a wasteful number, since it uses less digits than its factorization.

133312000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051003 (or 2051000 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133312000131 its reverse (131000213331), we get a palindrome (264312213462).

The spelling of 133312000131 in words is "one hundred thirty-three billion, three hundred twelve million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 31 93 233 279 699 2097 7223 21669 65007 2050733 6152199 18456597 63572723 190718169 477820789 572154507 1433462367 4300387101 14812444459 44437333377 133312000131