Search a number
-
+
212022102012100 = 22523376291457033
BaseRepresentation
bin110000001101010100111110…
…000100110011000011000100
31000210201010002211112201010121
4300031110332010303003010
5210242232231103341400
62030533335314231324
762442043224331222
oct6015247604630304
91023633084481117
10212022102012100
11616140831a9a56
121b943378b85544
13913c7a199a023
143a4dcd2b39b12
15197a2ac53e21a
hexc0d53e1330c4

212022102012100 has 36 divisors (see below), whose sum is σ = 461453207615764. Its totient is φ = 84557182510080.

The previous prime is 212022102012089. The next prime is 212022102012191. The reversal of 212022102012100 is 1210201220212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 44776011654144 + 167246090357956 = 6691488^2 + 12932366^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3145694817 + ... + 3145762216.

Almost surely, 2212022102012100 is an apocalyptic number.

212022102012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022102012100 is an abundant number, since it is smaller than the sum of its proper divisors (249431105603664).

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

212022102012100 is a wasteful number, since it uses less digits than its factorization.

212022102012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6291457384 (or 6291457377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212022102012100 its reverse (1210201220212), we get a palindrome (213232303232312).

The spelling of 212022102012100 in words is "two hundred twelve trillion, twenty-two billion, one hundred two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 337 674 1348 1685 3370 6740 8425 16850 33700 6291457033 12582914066 25165828132 31457285165 62914570330 125829140660 157286425825 314572851650 629145703300 2120221020121 4240442040242 8480884080484 10601105100605 21202210201210 42404420402420 53005525503025 106011051006050 212022102012100