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133120313010 = 23251479114589
BaseRepresentation
bin111101111111010010…
…1101100011010110010
3110201121101100120101100
41323332211230122302
54140112300004020
6141053222145230
712421562663556
oct1737645543262
9421541316340
10133120313010
1151501a45513
1221971882216
13c7264925a9
14662ba6d866
1536e1c70a90
hex1efe96c6b2

133120313010 has 24 divisors (see below), whose sum is σ = 346112814060. Its totient is φ = 35498750112.

The previous prime is 133120313003. The next prime is 133120313021. The reversal of 133120313010 is 10313021331.

It is a happy number.

133120313010 is a `hidden beast` number, since 1 + 331 + 2 + 0 + 31 + 301 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116826556401 + 16293756609 = 341799^2 + 127647^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 739557205 + ... + 739557384.

Almost surely, 2133120313010 is an apocalyptic number.

133120313010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133120313010 is an abundant number, since it is smaller than the sum of its proper divisors (212992501050).

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

133120313010 is a wasteful number, since it uses less digits than its factorization.

133120313010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479114602 (or 1479114599 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133120313010 its reverse (10313021331), we get a palindrome (143433334341).

The spelling of 133120313010 in words is "one hundred thirty-three billion, one hundred twenty million, three hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1479114589 2958229178 4437343767 7395572945 8874687534 13312031301 14791145890 22186718835 26624062602 44373437670 66560156505 133120313010