Search a number
-
+
21102112220020 = 22513319733138147
BaseRepresentation
bin1001100110001001101111…
…11001110010001101110100
32202201100020111001011112121
410303010313321302031310
510231214111212020040
6112514102043525324
74305402004230166
oct463046771621564
982640214034477
1021102112220020
1167a63a0243207
122449892829844
13ba0bc7868030
1452d4c2072936
15268daaeb4c4a
hex133137e72374

21102112220020 has 192 divisors, whose sum is σ = 49791694288896. Its totient is φ = 7459306536960.

The previous prime is 21102112219919. The next prime is 21102112220029. The reversal of 21102112220020 is 2002221120112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21102112219976 and 21102112220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102112220029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2590165587 + ... + 2590173733.

It is an arithmetic number, because the mean of its divisors is an integer number (259331741088).

Almost surely, 221102112220020 is an apocalyptic number.

21102112220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102112220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24895847144448).

21102112220020 is an abundant number, since it is smaller than the sum of its proper divisors (28689582068876).

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

21102112220020 is a wasteful number, since it uses less digits than its factorization.

21102112220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11610 (or 11608 counting only the distinct ones).

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

Adding to 21102112220020 its reverse (2002221120112), we get a palindrome (23104333340132).

The spelling of 21102112220020 in words is "twenty-one trillion, one hundred two billion, one hundred twelve million, two hundred twenty thousand, twenty".