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123013203135240 = 233511275111280937
BaseRepresentation
bin11011111110000100111110…
…010001101000101100001000
3121010112221120122002002000110
4123332010332101220230020
5112110422020000311430
61113343252501234320
734624260564222015
oct3376047621505410
9533487518062013
10123013203135240
1136217674249900
1211968948a029a0
135384131442922
142253c2968c70c
15e34cc80747b0
hex6fe13e468b08

123013203135240 has 192 divisors, whose sum is σ = 406178746202880. Its totient is φ = 29781671040000.

The previous prime is 123013203135223. The next prime is 123013203135241. The reversal of 123013203135240 is 42531302310321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123013203135198 and 123013203135207.

It is not an unprimeable number, because it can be changed into a prime (123013203135241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5264052 + ... + 16544988.

It is an arithmetic number, because the mean of its divisors is an integer number (2115514303140).

Almost surely, 2123013203135240 is an apocalyptic number.

123013203135240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123013203135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203089373101440).

123013203135240 is an abundant number, since it is smaller than the sum of its proper divisors (283165543067640).

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

123013203135240 is a wasteful number, since it uses less digits than its factorization.

123013203135240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11281724 (or 11281709 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 123013203135240 its reverse (42531302310321), we get a palindrome (165544505445561).

The spelling of 123013203135240 in words is "one hundred twenty-three trillion, thirteen billion, two hundred three million, one hundred thirty-five thousand, two hundred forty".