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120002223213 = 32294111214113
BaseRepresentation
bin110111111000010110…
…0001001110001101101
3102110202011100120011200
41233300230021301231
53431231032120323
6131043412040113
711445524032035
oct1576054116155
9373664316150
10120002223213
1146990143494
121b310603039
13b4157b5292
145b457648c5
1531c5294443
hex1bf0b09c6d

120002223213 has 24 divisors (see below), whose sum is σ = 183687187320. Its totient is φ = 75358832640.

The previous prime is 120002223203. The next prime is 120002223217. The reversal of 120002223213 is 312322200021.

120002223213 is a `hidden beast` number, since 120 + 0 + 0 + 222 + 321 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15635751849 + 104366471364 = 125043^2 + 323058^2 .

It is not a de Polignac number, because 120002223213 - 24 = 120002223197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120002223217) 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, 5596356 + ... + 5617757.

It is an arithmetic number, because the mean of its divisors is an integer number (7653632805).

Almost surely, 2120002223213 is an apocalyptic number.

It is an amenable number.

120002223213 is a deficient number, since it is larger than the sum of its proper divisors (63684964107).

120002223213 is a wasteful number, since it uses less digits than its factorization.

120002223213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11214189 (or 11214186 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120002223213 its reverse (312322200021), we get a palindrome (432324423234).

The spelling of 120002223213 in words is "one hundred twenty billion, two million, two hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 29 41 87 123 261 369 1189 3567 10701 11214113 33642339 100927017 325209277 459778633 975627831 1379335899 2926883493 4138007697 13333580357 40000741071 120002223213