Search a number
-
+
102121212020 = 22511345186377
BaseRepresentation
bin101111100011011100…
…1100000100001110100
3100202121000002002002212
41133012321200201310
53133121012241040
6114525215552552
710243441660052
oct1370671404164
9322530062085
10102121212020
113a344842093
121796022b758
139826116599
144d2aa6d1d2
1529ca591d65
hex17c6e60874

102121212020 has 24 divisors (see below), whose sum is σ = 216352377864. Its totient is φ = 40486992896.

The previous prime is 102121212019. The next prime is 102121212071. The reversal of 102121212020 is 20212121201.

It can be written as a sum of positive squares in 4 ways, for example, as 413796964 + 101707415056 = 20342^2 + 318916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102121211986 and 102121212004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22590929 + ... + 22595448.

It is an arithmetic number, because the mean of its divisors is an integer number (9014682411).

Almost surely, 2102121212020 is an apocalyptic number.

102121212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121212020 is an abundant number, since it is smaller than the sum of its proper divisors (114231165844).

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

102121212020 is a wasteful number, since it uses less digits than its factorization.

102121212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45186499 (or 45186497 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102121212020 its reverse (20212121201), we get a palindrome (122333333221).

The spelling of 102121212020 in words is "one hundred two billion, one hundred twenty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 45186377 90372754 180745508 225931885 451863770 903727540 5106060601 10212121202 20424242404 25530303005 51060606010 102121212020