Search a number
-
+
123101212332 = 22377120640713
BaseRepresentation
bin111001010100101100…
…1110110111010101100
3102202202010122112001110
41302221121312322230
54004102402243312
6132315114112020
711615364016530
oct1625131667254
9382663575043
10123101212332
114823047491a
121ba3641b610
13b7ba848157
145d5b177bc0
15330738d43c
hex1ca9676eac

123101212332 has 48 divisors (see below), whose sum is σ = 332893435392. Its totient is φ = 34676396160.

The previous prime is 123101212307. The next prime is 123101212337. The reversal of 123101212332 is 233212101321.

123101212332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 123101212299 and 123101212308.

It is not an unprimeable number, because it can be changed into a prime (123101212337) 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, 10314393 + ... + 10326320.

It is an arithmetic number, because the mean of its divisors is an integer number (6935279904).

Almost surely, 2123101212332 is an apocalyptic number.

123101212332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123101212332 is an abundant number, since it is smaller than the sum of its proper divisors (209792223060).

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

123101212332 is a wasteful number, since it uses less digits than its factorization.

123101212332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20640798 (or 20640796 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 123101212332 its reverse (233212101321), we get a palindrome (356313313653).

The spelling of 123101212332 in words is "one hundred twenty-three billion, one hundred one million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 20640713 41281426 61922139 82562852 123844278 144484991 247688556 288969982 433454973 577939964 866909946 1465490623 1733819892 2930981246 4396471869 5861962492 8792943738 10258434361 17585887476 20516868722 30775303083 41033737444 61550606166 123101212332