Search a number
-
+
212122222211982 = 23593491771716079
BaseRepresentation
bin110000001110110010001101…
…101101000011001110001110
31000211001200112101100211121210
4300032302031231003032032
5210300402302341240412
62031051334213435250
762452216261102545
oct6016621555031616
91024050471324553
10212122222211982
1161652590472aa5
121b95a85b03bb26
139149069373654
143a54aadb2915c
15197cbbc0bd83c
hexc0ec8db4338e

212122222211982 has 32 divisors (see below), whose sum is σ = 431436515212800. Its totient is φ = 69508737200448.

The previous prime is 212122222211953. The next prime is 212122222211993. The reversal of 212122222211982 is 289112222221212.

It is a super-2 number, since 2×2121222222119822 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212122222211982.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122750619 + ... + 124466697.

It is an arithmetic number, because the mean of its divisors is an integer number (13482391100400).

Almost surely, 2212122222211982 is an apocalyptic number.

212122222211982 is an abundant number, since it is smaller than the sum of its proper divisors (219314293000818).

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

212122222211982 is a wasteful number, since it uses less digits than its factorization.

212122222211982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065320.

The product of its digits is 36864, while the sum is 39.

The spelling of 212122222211982 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred eleven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 59 118 177 354 349177 698354 1047531 1716079 2095062 3432158 5148237 10296474 20601443 41202886 61804329 101248661 123608658 202497322 303745983 607491966 599215316983 1198430633966 1797645950949 3595291901898 35353703701997 70707407403994 106061111105991 212122222211982