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120101101012 = 221011597186149
BaseRepresentation
bin110111111011010010…
…1010101110111010100
3102111000001102002000101
41233312211111313110
53431431340213022
6131101303223444
711451134341354
oct1576645256724
9374001362011
10120101101012
1146a30a38882
121b339747b84
13b430125059
145b54942b64
1531cdcc6627
hex1bf6955dd4

120101101012 has 24 divisors (see below), whose sum is σ = 212391937800. Its totient is φ = 59418441600.

The previous prime is 120101100989. The next prime is 120101101019. The reversal of 120101101012 is 210101101021.

It can be written as a sum of positive squares in 4 ways, for example, as 42926038596 + 77175062416 = 207186^2 + 277804^2 .

It is a super-3 number, since 3×1201011010123 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120101101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120101101019) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 552114 + ... + 738262.

It is an arithmetic number, because the mean of its divisors is an integer number (8849664075).

Almost surely, 2120101101012 is an apocalyptic number.

It is an amenable number.

120101101012 is a deficient number, since it is larger than the sum of its proper divisors (92290836788).

120101101012 is a wasteful number, since it uses less digits than its factorization.

120101101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187851 (or 187849 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 120101101012 its reverse (210101101021), we get a palindrome (330202202033).

Subtracting 120101101012 from its reverse (210101101021), we obtain a palindrome (90000000009).

The spelling of 120101101012 in words is "one hundred twenty billion, one hundred one million, one hundred one thousand, twelve".

Divisors: 1 2 4 101 202 404 1597 3194 6388 161297 186149 322594 372298 645188 744596 18801049 37602098 75204196 297279953 594559906 1189119812 30025275253 60050550506 120101101012