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10131210333 = 321775787473
BaseRepresentation
bin10010110111101111…
…00000000001011101
3222011001122210212100
421123313200001131
5131222042212313
64353150555313
7506026603236
oct113367400135
928131583770
1010131210333
114329893302
121b68b08b39
13c55c3ab1a
146c175a08d
153e467a173
hex25bde005d

10131210333 has 24 divisors (see below), whose sum is σ = 15515438328. Its totient is φ = 6348367872.

The previous prime is 10131210307. The next prime is 10131210337. The reversal of 10131210333 is 33301213101.

It is a happy number.

10131210333 is a `hidden beast` number, since 10 + 1 + 312 + 10 + 333 = 666.

10131210333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5546972484 + 4584237849 = 74478^2 + 67707^2 .

It is not a de Polignac number, because 10131210333 - 212 = 10131206237 is a prime.

It is a super-2 number, since 2×101312103332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131210337) 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 23 ways as a sum of consecutive naturals, for example, 72085 + ... + 159557.

It is an arithmetic number, because the mean of its divisors is an integer number (646476597).

Almost surely, 210131210333 is an apocalyptic number.

It is an amenable number.

10131210333 is a deficient number, since it is larger than the sum of its proper divisors (5384227995).

10131210333 is a wasteful number, since it uses less digits than its factorization.

10131210333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88253 (or 88250 counting only the distinct ones).

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

Adding to 10131210333 its reverse (33301213101), we get a palindrome (43432423434).

It can be divided in two parts, 1013 and 1210333, that added together give a triangular number (1211346 = T1556).

The spelling of 10131210333 in words is "ten billion, one hundred thirty-one million, two hundred ten thousand, three hundred thirty-three".

Divisors: 1 3 9 17 51 153 757 2271 6813 12869 38607 87473 115821 262419 787257 1487041 4461123 13383369 66217061 198651183 595953549 1125690037 3377070111 10131210333