Search a number
-
+
10211231112 = 2333113724773
BaseRepresentation
bin10011000001010001…
…10000010110001000
3222100122020021201220
421200220300112020
5131403033343422
64405130042040
7511021014045
oct114050602610
928318207656
1010211231112
11436aa79085
121b8b879320
13c696a77b4
146cc22a1cc
153eb6d4e5c
hex260a30588

10211231112 has 32 divisors (see below), whose sum is σ = 26351566080. Its totient is φ = 3293945280.

The previous prime is 10211231089. The next prime is 10211231117. The reversal of 10211231112 is 21113211201.

It is a junction number, because it is equal to n+sod(n) for n = 10211231091 and 10211231100.

It is not an unprimeable number, because it can be changed into a prime (10211231117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6861643 + ... + 6863130.

It is an arithmetic number, because the mean of its divisors is an integer number (823486440).

Almost surely, 210211231112 is an apocalyptic number.

10211231112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211231112 is an abundant number, since it is smaller than the sum of its proper divisors (16140334968).

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

10211231112 is a wasteful number, since it uses less digits than its factorization.

10211231112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13724813 (or 13724809 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10211231112 its reverse (21113211201), we get a palindrome (31324442313).

The spelling of 10211231112 in words is "ten billion, two hundred eleven million, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 13724773 27449546 41174319 54899092 82348638 109798184 164697276 329394552 425467963 850935926 1276403889 1701871852 2552807778 3403743704 5105615556 10211231112