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10132311033 = 331331931193
BaseRepresentation
bin10010110111110111…
…01100101111111001
3222011010201201202000
421123323230233321
5131222332423113
64353230331213
7506042136255
oct113373545771
928133651660
1010132311033
11432a475279
121b69359b09
13c56234b20
146c1965265
153e47e6373
hex25beecbf9

10132311033 has 32 divisors (see below), whose sum is σ = 16686996480. Its totient is φ = 6034124160.

The previous prime is 10132311031. The next prime is 10132311037. The reversal of 10132311033 is 33011323101.

It is a happy number.

It is not a de Polignac number, because 10132311033 - 21 = 10132311031 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10132310997 and 10132311015.

It is not an unprimeable number, because it can be changed into a prime (10132311031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454716 + ... + 476477.

It is an arithmetic number, because the mean of its divisors is an integer number (521468640).

Almost surely, 210132311033 is an apocalyptic number.

10132311033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10132311033 is a deficient number, since it is larger than the sum of its proper divisors (6554685447).

10132311033 is a wasteful number, since it uses less digits than its factorization.

10132311033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931246 (or 931240 counting only the distinct ones).

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

Adding to 10132311033 its reverse (33011323101), we get a palindrome (43143634134).

The spelling of 10132311033 in words is "ten billion, one hundred thirty-two million, three hundred eleven thousand, thirty-three".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1209 3627 10881 931193 2793579 8380737 12105509 25142211 28866983 36316527 86600949 108949581 259802847 326848743 375270779 779408541 1125812337 3377437011 10132311033