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123353315040 = 25354110758579
BaseRepresentation
bin111001011100001101…
…1100011011011100000
3102210101201000122221210
41302320123203123200
54010111422040130
6132400121350120
711624544610044
oct1627033433340
9383351018853
10123353315040
114834a80436a
121baa6938340
13b82ab45957
145d82840024
15331e58a5b0
hex1cb86e36e0

123353315040 has 192 divisors, whose sum is σ = 401766946560. Its totient is φ = 31791452160.

The previous prime is 123353315039. The next prime is 123353315119. The reversal of 123353315040 is 40513353321.

123353315040 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 123353314989 and 123353315007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2076471 + ... + 2135049.

It is an arithmetic number, because the mean of its divisors is an integer number (2092536180).

Almost surely, 2123353315040 is an apocalyptic number.

123353315040 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 123353315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200883473280).

123353315040 is an abundant number, since it is smaller than the sum of its proper divisors (278413631520).

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

123353315040 is a wasteful number, since it uses less digits than its factorization.

123353315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58745 (or 58737 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 123353315040 its reverse (40513353321), we get a palindrome (163866668361).

The spelling of 123353315040 in words is "one hundred twenty-three billion, three hundred fifty-three million, three hundred fifteen thousand, forty".