Search a number
-
+
21022113000000 = 2635671924759
BaseRepresentation
bin1001100011110100101111…
…00100111110101001000000
32202102200202012101201110210
410301322113210332221000
510223411241412000000
6112413231514554120
74266540362124450
oct461722744765100
982380665351423
1021022113000000
11677547881a142
122436287138940
13b964b8947258
1452969345bd60
15266c77aec350
hex131e9793ea40

21022113000000 has 2352 divisors, whose sum is σ = 87095485163520. Its totient is φ = 4379788800000.

The previous prime is 21022112999983. The next prime is 21022113000043. The reversal of 21022113000000 is 31122012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 21022113000000.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 356306999971 + ... + 356307000029.

Almost surely, 221022113000000 is an apocalyptic number.

21022113000000 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 21022113000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43547742581760).

21022113000000 is an abundant number, since it is smaller than the sum of its proper divisors (66073372163520).

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

21022113000000 is an frugal number, since it uses more digits than its factorization.

21022113000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21022113000000 its reverse (31122012), we get a palindrome (21022144122012).

The spelling of 21022113000000 in words is "twenty-one trillion, twenty-two billion, one hundred thirteen million", and thus it is an aban number.