Search a number
-
+
21112102220022 = 232111946729994007
BaseRepresentation
bin1001100110011100010110…
…10110100111000011110110
32202202022000200222202020200
410303032023112213003312
510231400041132020042
6112522433232141330
74306204400642502
oct463161326470366
982668020882220
1021112102220022
1167aa657348060
12244b800397846
13ba1b2a463938
1452db8cb51302
15269293049c4c
hex13338b5a70f6

21112102220022 has 192 divisors, whose sum is σ = 52670891520000. Its totient is φ = 6044386760640.

The previous prime is 21112102219991. The next prime is 21112102220051. The reversal of 21112102220022 is 22002220121112.

It is a happy number.

21112102220022 is a `hidden beast` number, since 211 + 1 + 210 + 2 + 220 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21112102219977 and 21112102220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5268803143 + ... + 5268807149.

It is an arithmetic number, because the mean of its divisors is an integer number (274327560000).

Almost surely, 221112102220022 is an apocalyptic number.

21112102220022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112102220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26335445760000).

21112102220022 is an abundant number, since it is smaller than the sum of its proper divisors (31558789299978).

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

21112102220022 is a wasteful number, since it uses less digits than its factorization.

21112102220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7511 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21112102220022 its reverse (22002220121112), we get a palindrome (43114322341134).

The spelling of 21112102220022 in words is "twenty-one trillion, one hundred twelve billion, one hundred two million, two hundred twenty thousand, twenty-two".