Search a number
-
+
10120022011 = 112344419007
BaseRepresentation
bin10010110110011001…
…10100011111111011
3222010021121101101001
421123030310133323
5131211211201021
64352111105431
7505532524231
oct113314643773
928107541331
1010120022011
114323541360
121b65212277
13c53821408
146c0086951
153e36ba091
hex25b3347fb

10120022011 has 16 divisors (see below), whose sum is σ = 11523898368. Its totient is φ = 8797060800.

The previous prime is 10120022009. The next prime is 10120022071. The reversal of 10120022011 is 11022002101.

It is not a de Polignac number, because 10120022011 - 21 = 10120022009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120022071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119070 + ... + 1128076.

It is an arithmetic number, because the mean of its divisors is an integer number (720243648).

Almost surely, 210120022011 is an apocalyptic number.

10120022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120022011 is a deficient number, since it is larger than the sum of its proper divisors (1403876357).

10120022011 is a wasteful number, since it uses less digits than its factorization.

10120022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13482.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10120022011 its reverse (11022002101), we get a palindrome (21142024112).

The spelling of 10120022011 in words is "ten billion, one hundred twenty million, twenty-two thousand, eleven".

Divisors: 1 11 23 253 4441 9007 48851 99077 102143 207161 1123573 2278771 40000087 440000957 920002001 10120022011