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123133001012 = 2272677927961
BaseRepresentation
bin111001010101101001…
…1000111110100110100
3102202211100110112220222
41302223103013310310
54004134022013022
6132322211313512
711616231145100
oct1625323076464
9382740415828
10123133001012
114824740715a
121ba44bab898
13b7c42c8318
145d61490900
15330a06c242
hex1cab4c7d34

123133001012 has 36 divisors (see below), whose sum is σ = 251034136164. Its totient is φ = 52693280640.

The previous prime is 123133001011. The next prime is 123133001071. The reversal of 123133001012 is 210100331321.

It can be written as a sum of positive squares in 2 ways, for example, as 79390951696 + 43742049316 = 281764^2 + 209146^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123133001011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331289 + ... + 596672.

It is an arithmetic number, because the mean of its divisors is an integer number (6973170449).

Almost surely, 2123133001012 is an apocalyptic number.

It is an amenable number.

123133001012 is an abundant number, since it is smaller than the sum of its proper divisors (127901135152).

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

123133001012 is a wasteful number, since it uses less digits than its factorization.

123133001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928656 (or 928647 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 123133001012 its reverse (210100331321), we get a palindrome (333233332333).

The spelling of 123133001012 in words is "one hundred twenty-three billion, one hundred thirty-three million, one thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 196 677 1354 2708 4739 9478 18956 33173 66346 132692 927961 1855922 3711844 6495727 12991454 25982908 45470089 90940178 181880356 628229597 1256459194 2512918388 4397607179 8795214358 17590428716 30783250253 61566500506 123133001012