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123130413020 = 22553116160767
BaseRepresentation
bin111001010101100100…
…1001111111111011100
3102202211011121001212102
41302223021033333130
54004132341204040
6132322040024232
711616200145656
oct1625311177734
9382734531772
10123130413020
11482459a981a
121ba44162078
13b7c3900374
145d60db96d6
153309c0a515
hex1cab24ffdc

123130413020 has 24 divisors (see below), whose sum is σ = 263452621824. Its totient is φ = 48322878656.

The previous prime is 123130412983. The next prime is 123130413031. The reversal of 123130413020 is 20314031321.

It is a super-2 number, since 2×1231304130202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123130412983 and 123130413001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58079324 + ... + 58081443.

It is an arithmetic number, because the mean of its divisors is an integer number (10977192576).

Almost surely, 2123130413020 is an apocalyptic number.

123130413020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123130413020 is an abundant number, since it is smaller than the sum of its proper divisors (140322208804).

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

123130413020 is a wasteful number, since it uses less digits than its factorization.

123130413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116160829 (or 116160827 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 123130413020 its reverse (20314031321), we get a palindrome (143444444341).

The spelling of 123130413020 in words is "one hundred twenty-three billion, one hundred thirty million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 116160767 232321534 464643068 580803835 1161607670 2323215340 6156520651 12313041302 24626082604 30782603255 61565206510 123130413020