Search a number
-
+
120000011002101 = 32102531300432513
BaseRepresentation
bin11011010010001110101110…
…000001110110000011110101
3120201212220000002110222222200
4123102032232001312003311
5111212040010304031401
61103115124412415113
734163500065536226
oct3322165601660365
9521786002428880
10120000011002101
113526579a8a925a
1211560980a77499
1351c5c4c7ac6a9
14218c0626d524d
15dd17205ca686
hex6d23ae0760f5

120000011002101 has 12 divisors (see below), whose sum is σ = 173350254981228. Its totient is φ = 79992204678144.

The previous prime is 120000011002073. The next prime is 120000011002153. The reversal of 120000011002101 is 101200110000021.

It is a happy number.

120000011002101 is digitally balanced in base 4, 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 57829545721476 + 62170465280625 = 7604574^2 + 7884825^2 .

It is not a de Polignac number, because 120000011002101 - 26 = 120000011002037 is a prime.

It is a super-2 number, since 2×1200000110021012 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000011002601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 650123980 + ... + 650308533.

It is an arithmetic number, because the mean of its divisors is an integer number (14445854581769).

Almost surely, 2120000011002101 is an apocalyptic number.

It is an amenable number.

120000011002101 is a deficient number, since it is larger than the sum of its proper divisors (53350243979127).

120000011002101 is a wasteful number, since it uses less digits than its factorization.

120000011002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300442772 (or 1300442769 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120000011002101 its reverse (101200110000021), we get a palindrome (221200121002122).

The spelling of 120000011002101 in words is "one hundred twenty trillion, eleven million, two thousand, one hundred one".

Divisors: 1 3 9 10253 30759 92277 1300432513 3901297539 11703892617 13333334555789 40000003667367 120000011002101