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120010010101101 = 3215978349684137
BaseRepresentation
bin11011010010011000000010…
…000001011000010101101101
3120201220211210221112212011200
4123102120002001120111231
5111212221000041213401
61103123500524040113
734164302632506321
oct3322300201302555
9521824727485150
10120010010101101
1135269a6105833a
12115628b1693039
1351c6b84242a13
14218c7306a1981
15dd1b0835b686
hex6d260205856d

120010010101101 has 12 divisors (see below), whose sum is σ = 173456338282812. Its totient is φ = 79956575286336.

The previous prime is 120010010101099. The next prime is 120010010101123. The reversal of 120010010101101 is 101101010010021.

It can be written as a sum of positive squares in 2 ways, for example, as 58285574981001 + 61724435120100 = 7634499^2 + 7856490^2 .

It is not a de Polignac number, because 120010010101101 - 21 = 120010010101099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010010101171) 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 11 ways as a sum of consecutive naturals, for example, 4174827696 + ... + 4174856441.

It is an arithmetic number, because the mean of its divisors is an integer number (14454694856901).

Almost surely, 2120010010101101 is an apocalyptic number.

It is an amenable number.

120010010101101 is a deficient number, since it is larger than the sum of its proper divisors (53446328181711).

120010010101101 is a wasteful number, since it uses less digits than its factorization.

120010010101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349685740 (or 8349685737 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 120010010101101 its reverse (101101010010021), we get a palindrome (221111020111122).

The spelling of 120010010101101 in words is "one hundred twenty trillion, ten billion, ten million, one hundred one thousand, one hundred one".

Divisors: 1 3 9 1597 4791 14373 8349684137 25049052411 75147157233 13334445566789 40003336700367 120010010101101