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120130002000032 = 2530611226417041
BaseRepresentation
bin11011010100000111110010…
…000110001001100010100000
3120202100022112101110220002112
4123110013302012021202200
5111221202221003000112
61103254543330534452
734206051303021413
oct3324076206114240
9522308471426075
10120130002000032
1135305936389a62
1211581bba737428
13520529785194b
1421944748d9b7a
15dd4ccc761a22
hex6d41f21898a0

120130002000032 has 24 divisors (see below), whose sum is σ = 236583205904052. Its totient is φ = 60045378278400.

The previous prime is 120130002000031. The next prime is 120130002000049. The reversal of 120130002000032 is 230000200031021.

It is a happy number.

120130002000032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 73447710986896 + 46682291013136 = 8570164^2 + 6832444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120130001999980 and 120130002000016.

It is not an unprimeable number, because it can be changed into a prime (120130002000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 613110569 + ... + 613306472.

Almost surely, 2120130002000032 is an apocalyptic number.

It is an amenable number.

120130002000032 is a deficient number, since it is larger than the sum of its proper divisors (116453203904020).

120130002000032 is a wasteful number, since it uses less digits than its factorization.

120130002000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226420112 (or 1226420104 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 120130002000032 its reverse (230000200031021), we get a palindrome (350130202031053).

The spelling of 120130002000032 in words is "one hundred twenty trillion, one hundred thirty billion, two million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 3061 6122 12244 24488 48976 97952 1226417041 2452834082 4905668164 9811336328 19622672656 39245345312 3754062562501 7508125125002 15016250250004 30032500500008 60065001000016 120130002000032