Search a number
-
+
212120120120202 = 23271683493016827
BaseRepresentation
bin110000001110110000010000…
…011010001101001110001010
31000211001111002212220111210200
4300032300100122031032022
5210300334001222321302
62031050345442353030
762452113214444230
oct6016602032151612
91024044085814720
10212120120120202
1161651701936368
121b95a37305b776
139148ac2a02668
143a54950896950
15197cae779181c
hexc0ec1068d38a

212120120120202 has 24 divisors (see below), whose sum is σ = 525249821250336. Its totient is φ = 60605748605736.

The previous prime is 212120120120159. The next prime is 212120120120203. The reversal of 212120120120202 is 202021021021212.

It is a happy number.

212120120120202 is a `hidden beast` number, since 2 + 121 + 201 + 20 + 120 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212120120120203) 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, 841746508288 + ... + 841746508539.

It is an arithmetic number, because the mean of its divisors is an integer number (21885409218764).

Almost surely, 2212120120120202 is an apocalyptic number.

212120120120202 is an abundant number, since it is smaller than the sum of its proper divisors (313129701130134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212120120120202 is a wasteful number, since it uses less digits than its factorization.

212120120120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683493016842 (or 1683493016839 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212120120120202 its reverse (202021021021212), we get a palindrome (414141141141414).

The spelling of 212120120120202 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred twenty million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1683493016827 3366986033654 5050479050481 10100958100962 11784451117789 15151437151443 23568902235578 30302874302886 35353353353367 70706706706734 106060060060101 212120120120202