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123130001148 = 2237111759132859
BaseRepresentation
bin111001010101100011…
…1101011011011111100
3102202211010211010212220
41302223013223123330
54004132240014043
6132322023125340
711616163512120
oct1625307533374
9382733733786
10123130001148
1148245748330
121ba43ba3850
13b7c37b7a5b
145d60d0d580
153309b78483
hex1cab1eb6fc

123130001148 has 192 divisors, whose sum is σ = 385697894400. Its totient is φ = 29590133760.

The previous prime is 123130001147. The next prime is 123130001167. The reversal of 123130001148 is 841100031321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123130001147) 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 63 ways as a sum of consecutive naturals, for example, 860343 + ... + 993201.

It is an arithmetic number, because the mean of its divisors is an integer number (2008843200).

Almost surely, 2123130001148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123130001148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192848947200).

123130001148 is an abundant number, since it is smaller than the sum of its proper divisors (262567893252).

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

123130001148 is a wasteful number, since it uses less digits than its factorization.

123130001148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132960 (or 132958 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 123130001148 its reverse (841100031321), we get a palindrome (964230032469).

The spelling of 123130001148 in words is "one hundred twenty-three billion, one hundred thirty million, one thousand, one hundred forty-eight".