Search a number
-
+
120213002322 = 23272136295921
BaseRepresentation
bin110111111110101000…
…0001101100001010010
3102111021211222020202100
41233331100031201102
53432144012033242
6131120341501230
711453663442300
oct1577520154122
9374254866670
10120213002322
1146a891189a6
121b36b111816
13b44a37494a
145b65751270
1531d8a2c54c
hex1bfd40d852

120213002322 has 36 divisors (see below), whose sum is σ = 302985834606. Its totient is φ = 34346571840.

The previous prime is 120213002311. The next prime is 120213002339. The reversal of 120213002322 is 223200312021.

120213002322 is a `hidden beast` number, since 1 + 20 + 21 + 300 + 2 + 322 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98051023161 + 22161979161 = 313131^2 + 148869^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 120213002295 and 120213002304.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 68147079 + ... + 68148842.

Almost surely, 2120213002322 is an apocalyptic number.

120213002322 is an abundant number, since it is smaller than the sum of its proper divisors (182772832284).

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

120213002322 is a wasteful number, since it uses less digits than its factorization.

120213002322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136295943 (or 136295933 counting only the distinct ones).

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

Adding to 120213002322 its reverse (223200312021), we get a palindrome (343413314343).

The spelling of 120213002322 in words is "one hundred twenty billion, two hundred thirteen million, two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 136295921 272591842 408887763 817775526 954071447 1226663289 1908142894 2453326578 2862214341 5724428682 6678500129 8586643023 13357000258 17173286046 20035500387 40071000774 60106501161 120213002322