Search a number
-
+
10131211092 = 2233728181203
BaseRepresentation
bin10010110111101111…
…00000001101010100
3222011001122211220110
421123313200031110
5131222042223332
64353151003020
7506026605402
oct113367401524
928131584813
1010131211092
114329893932
121b68b09470
13c55c3b282
146c175a472
153e467a4cc
hex25bde0354

10131211092 has 48 divisors (see below), whose sum is σ = 24365097792. Its totient is φ = 3274064640.

The previous prime is 10131211073. The next prime is 10131211109. The reversal of 10131211092 is 29011213101.

It is a happy number.

10131211092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 84163 + ... + 165365.

It is an arithmetic number, because the mean of its divisors is an integer number (507606204).

Almost surely, 210131211092 is an apocalyptic number.

10131211092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131211092 is an abundant number, since it is smaller than the sum of its proper divisors (14233886700).

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

10131211092 is a wasteful number, since it uses less digits than its factorization.

10131211092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81528 (or 81526 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 10131211092 its reverse (29011213101), we get a palindrome (39142424193).

The spelling of 10131211092 in words is "ten billion, one hundred thirty-one million, two hundred eleven thousand, ninety-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 281 444 562 843 1124 1686 3372 10397 20794 31191 41588 62382 81203 124764 162406 243609 324812 487218 974436 3004511 6009022 9013533 12018044 18027066 22818043 36054132 45636086 68454129 91272172 136908258 273816516 844267591 1688535182 2532802773 3377070364 5065605546 10131211092