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123301313000 = 2353612021333
BaseRepresentation
bin111001011010101010…
…1001011100111101000
3102210021002011200120022
41302311111023213220
54010010114004000
6132351023020012
711623343603435
oct1626525134750
9383232150508
10123301313000
1148323416478
121ba9143a608
13b820139208
145d79984b8c
153319c17585
hex1cb554b9e8

123301313000 has 64 divisors (see below), whose sum is σ = 293255136720. Its totient is φ = 48511968000.

The previous prime is 123301312993. The next prime is 123301313011. The reversal of 123301313000 is 313103321.

It can be written as a sum of positive squares in 8 ways, for example, as 4771217476 + 118530095524 = 69074^2 + 344282^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 123301313000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949667 + ... + 1071666.

Almost surely, 2123301313000 is an apocalyptic number.

123301313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123301313000 is an abundant number, since it is smaller than the sum of its proper divisors (169953823720).

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

123301313000 is a wasteful number, since it uses less digits than its factorization.

123301313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021415 (or 2021401 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 123301313000 its reverse (313103321), we get a palindrome (123614416321).

The spelling of 123301313000 in words is "one hundred twenty-three billion, three hundred one million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1220 1525 2440 3050 6100 7625 12200 15250 30500 61000 2021333 4042666 8085332 10106665 16170664 20213330 40426660 50533325 80853320 101066650 123301313 202133300 246602626 252666625 404266600 493205252 505333250 616506565 986410504 1010666500 1233013130 2021333000 2466026260 3082532825 4932052520 6165065650 12330131300 15412664125 24660262600 30825328250 61650656500 123301313000