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1200120031313 = 72107269984809
BaseRepresentation
bin10001011101101100101…
…110100110100001010001
311020201201102120022222122
4101131230232212201101
5124130321212000223
62315154425144025
7152464043644400
oct21355456464121
94221642508878
101200120031313
11422a7151a425
1217471192b015
138922b422c58
144212c451637
15213404ea5c8
hex1176cba6851

1200120031313 has 24 divisors (see below), whose sum is σ = 1409643972000. Its totient is φ = 1018670952768.

The previous prime is 1200120031309. The next prime is 1200120031321. The reversal of 1200120031313 is 3131300210021.

It is not a de Polignac number, because 1200120031313 - 22 = 1200120031309 is a prime.

It is a super-2 number, since 2×12001200313132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1200120031291 and 1200120031300.

It is not an unprimeable number, because it can be changed into a prime (1200120031333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14108453 + ... + 14193261.

It is an arithmetic number, because the mean of its divisors is an integer number (58735165500).

Almost surely, 21200120031313 is an apocalyptic number.

It is an amenable number.

1200120031313 is a deficient number, since it is larger than the sum of its proper divisors (209523940687).

1200120031313 is a wasteful number, since it uses less digits than its factorization.

1200120031313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87629 (or 87622 counting only the distinct ones).

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

Adding to 1200120031313 its reverse (3131300210021), we get a palindrome (4331420241334).

The spelling of 1200120031313 in words is "one trillion, two hundred billion, one hundred twenty million, thirty-one thousand, three hundred thirteen".

Divisors: 1 7 49 107 749 2699 5243 18893 84809 132251 288793 593663 2021551 4155641 9074563 14150857 63521941 228899491 444653587 1602296437 11216075059 24492245537 171445718759 1200120031313