Search a number
-
+
21101220122022 = 2331921082446913
BaseRepresentation
bin1001100110001000000101…
…01110101100110110100110
32202201020221022101220011000
410303010002232230312212
510231210244322401042
6112513433335054130
74305340622432325
oct463040256546646
982636838356130
1021101220122022
1167a5a82718837
122449683b11346
13ba0ab4aaa2b1
1452d4397b20bc
15268d579e974c
hex133102bacda6

21101220122022 has 48 divisors (see below), whose sum is σ = 49489472908080. Its totient is φ = 6663543190272.

The previous prime is 21101220121997. The next prime is 21101220122027. The reversal of 21101220122022 is 22022102210112.

It is a happy number.

21101220122022 is a `hidden beast` number, since 211 + 0 + 12 + 201 + 220 + 22 = 666.

It is a super-2 number, since 2×211012201220222 (a number of 27 digits) contains 22 as substring.

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 = 21101220121986 and 21101220122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101220122027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541203963 + ... + 541242950.

It is an arithmetic number, because the mean of its divisors is an integer number (1031030685585).

Almost surely, 221101220122022 is an apocalyptic number.

21101220122022 is an abundant number, since it is smaller than the sum of its proper divisors (28388252786058).

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

21101220122022 is a wasteful number, since it uses less digits than its factorization.

21101220122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082446962 (or 1082446937 counting only the distinct ones).

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

Adding to 21101220122022 its reverse (22022102210112), we get a palindrome (43123322332134).

The spelling of 21101220122022 in words is "twenty-one trillion, one hundred one billion, two hundred twenty million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 2166 3249 6498 9747 19494 1082446913 2164893826 3247340739 6494681478 9742022217 19484044434 20566491347 29226066651 41132982694 58452133302 61699474041 123398948082 185098422123 370196844246 390763335593 555295266369 781526671186 1110590532738 1172290006779 2344580013558 3516870020337 7033740040674 10550610061011 21101220122022