Search a number
-
+
10120023123 = 3744910331039
BaseRepresentation
bin10010110110011001…
…10100110001010011
3222010021121102220020
421123030310301103
5131211211214443
64352111114523
7505532530410
oct113314646123
928107542806
1010120023123
114323542181
121b65212a43
13c53821a82
146c0087107
153e36ba583
hex25b334c53

10120023123 has 32 divisors (see below), whose sum is σ = 15485184000. Its totient is φ = 5758857216.

The previous prime is 10120023119. The next prime is 10120023167. The reversal of 10120023123 is 32132002101.

10120023123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10120023123 - 22 = 10120023119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10120023103) 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 31 ways as a sum of consecutive naturals, for example, 9739638 + ... + 9740676.

It is an arithmetic number, because the mean of its divisors is an integer number (483912000).

Almost surely, 210120023123 is an apocalyptic number.

10120023123 is a deficient number, since it is larger than the sum of its proper divisors (5365160877).

10120023123 is a wasteful number, since it uses less digits than its factorization.

10120023123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10120023123 its reverse (32132002101), we get a palindrome (42252025224).

The spelling of 10120023123 in words is "ten billion, one hundred twenty million, twenty-three thousand, one hundred twenty-three".

Divisors: 1 3 7 21 449 1033 1039 1347 3099 3117 3143 7231 7273 9429 21693 21819 463817 466511 1073287 1391451 1399533 3219861 3246719 3265577 7513009 9740157 9796731 22539027 481905863 1445717589 3373341041 10120023123