Search a number
-
+
123042020101 = 71113502124481
BaseRepresentation
bin111001010010111100…
…0000011101100000101
3102202121000021020120121
41302211320003230011
54003442224120401
6132305201301541
711614044625450
oct1624570035405
9382530236517
10123042020101
1148200015920
121ba1a6348b1
13b7ab4c1a70
145d5336a497
153302099ca1
hex1ca5e03b05

123042020101 has 32 divisors (see below), whose sum is σ = 165242923776. Its totient is φ = 88480512000.

The previous prime is 123042020099. The next prime is 123042020119. The reversal of 123042020101 is 101020240321.

It is a cyclic number.

It is not a de Polignac number, because 123042020101 - 21 = 123042020099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123042020131) 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, 5013781 + ... + 5038261.

It is an arithmetic number, because the mean of its divisors is an integer number (5163841368).

Almost surely, 2123042020101 is an apocalyptic number.

123042020101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123042020101 is a deficient number, since it is larger than the sum of its proper divisors (42200903675).

123042020101 is a wasteful number, since it uses less digits than its factorization.

123042020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29533.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 123042020101 its reverse (101020240321), we get a palindrome (224062260422).

It can be divided in two parts, 1230420 and 20101, that added together give a palindrome (1250521).

The spelling of 123042020101 in words is "one hundred twenty-three billion, forty-two million, twenty thousand, one hundred one".

Divisors: 1 7 11 13 77 91 143 1001 5021 24481 35147 55231 65273 171367 269291 318253 386617 456911 718003 1885037 2227771 3500783 5026021 24505481 122919101 860433707 1352110111 1597948313 9464770777 11185638191 17577431443 123042020101