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123135140000 = 255416373761
BaseRepresentation
bin111001010101101101…
…1010010000010100000
3102202211111111020001202
41302223123102002200
54004140043440000
6132322325220332
711616255264155
oct1625333220240
9382744436052
10123135140000
1148248638214
121ba458616a8
13b7c4896ab2
145d6188a22c
15330a340dd5
hex1cab6d20a0

123135140000 has 120 divisors (see below), whose sum is σ = 303196561668. Its totient is φ = 49210880000.

The previous prime is 123135139999. The next prime is 123135140039. The reversal of 123135140000 is 41531321.

It can be written as a sum of positive squares in 10 ways, for example, as 41126217616 + 82008922384 = 202796^2 + 286372^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32738120 + ... + 32741880.

Almost surely, 2123135140000 is an apocalyptic number.

123135140000 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 123135140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151598280834).

123135140000 is an abundant number, since it is smaller than the sum of its proper divisors (180061421668).

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

123135140000 is an equidigital number, since it uses as much as digits as its factorization.

123135140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 123135140000 its reverse (41531321), we get a palindrome (123176671321).

The spelling of 123135140000 in words is "one hundred twenty-three billion, one hundred thirty-five million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1637 2000 2500 3274 3761 4000 5000 6548 7522 8185 10000 13096 15044 16370 18805 20000 26192 30088 32740 37610 40925 52384 60176 65480 75220 81850 94025 120352 130960 150440 163700 188050 204625 261920 300880 327400 376100 409250 470125 601760 654800 752200 818500 940250 1023125 1309600 1504400 1637000 1880500 2046250 2350625 3008800 3274000 3761000 4092500 4701250 6156757 6548000 7522000 8185000 9402500 12313514 15044000 16370000 18805000 24627028 30783785 32740000 37610000 49254056 61567570 75220000 98508112 123135140 153918925 197016224 246270280 307837850 492540560 615675700 769594625 985081120 1231351400 1539189250 2462702800 3078378500 3847973125 4925405600 6156757000 7695946250 12313514000 15391892500 24627028000 30783785000 61567570000 123135140000