Search a number
-
+
123011330101 = 1143909128607
BaseRepresentation
bin111001010010000001…
…0111111000000110101
3102202111212112000210221
41302210002333000311
54003411400030401
6132302143414341
711613223024312
oct1624402770065
9382455460727
10123011330101
1148194763a90
121ba102b43b1
13b7a50379ba
145d4d25bd09
1532ee5367a1
hex1ca40bf035

123011330101 has 16 divisors (see below), whose sum is σ = 137334878208. Its totient is φ = 109211986800.

The previous prime is 123011330059. The next prime is 123011330179. The reversal of 123011330101 is 101033110321.

It is a cyclic number.

It is not a de Polignac number, because 123011330101 - 223 = 123002941493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123011330501) 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 15 ways as a sum of consecutive naturals, for example, 4285740 + ... + 4314346.

It is an arithmetic number, because the mean of its divisors is an integer number (8583429888).

Almost surely, 2123011330101 is an apocalyptic number.

123011330101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123011330101 is a deficient number, since it is larger than the sum of its proper divisors (14323548107).

123011330101 is a wasteful number, since it uses less digits than its factorization.

123011330101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37752.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 123011330101 its reverse (101033110321), we get a palindrome (224044440422).

The spelling of 123011330101 in words is "one hundred twenty-three billion, eleven million, three hundred thirty thousand, one hundred one".

Divisors: 1 11 43 473 9091 28607 100001 314677 390913 1230101 4300043 13531111 260066237 2860728607 11182848191 123011330101