Search a number
-
+
2122000002 = 232117888889
BaseRepresentation
bin111111001111011…
…0010011010000010
312110212220202202200
41332132302122002
513321213000002
6550321454030
7103404462633
oct17636623202
95425822680
102122000002
119998a5011
124b27a1316
1327a821705
14161b7588a
15c6460b1c
hex7e7b2682

2122000002 has 12 divisors (see below), whose sum is σ = 4597666710. Its totient is φ = 707333328.

The previous prime is 2121999973. The next prime is 2122000019. The reversal of 2122000002 is 2000002212.

It can be written as a sum of positive squares in only one way, i.e., 1503035361 + 618964641 = 38769^2 + 24879^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58944427 + ... + 58944462.

Almost surely, 22122000002 is an apocalyptic number.

2122000002 is an abundant number, since it is smaller than the sum of its proper divisors (2475666708).

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

2122000002 is a wasteful number, since it uses less digits than its factorization.

2122000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117888897 (or 117888894 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2122000002 is about 46065.1712468325. The cubic root of 2122000002 is about 1285.0355033668.

Adding to 2122000002 its reverse (2000002212), we get a palindrome (4122002214).

It can be divided in two parts, 212 and 2000002, that multiplied together give a palindrome (424000424).

The spelling of 2122000002 in words is "two billion, one hundred twenty-two million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 117888889 235777778 353666667 707333334 1061000001 2122000002