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21221111110122 = 23271115311046977
BaseRepresentation
bin1001101001100111011001…
…10010100001100111101010
32210010201101201110010102200
410310303230302201213222
510240141313421010442
6113044502135041030
74320113626136640
oct464635462414752
983121351403380
1021221111110122
116841905a96680
122468963210176
13bac1b0516c81
1453517045d190
1526c02311a34c
hex134cecca19ea

21221111110122 has 48 divisors (see below), whose sum is σ = 57324559885632. Its totient is φ = 5511976911360.

The previous prime is 21221111110097. The next prime is 21221111110123. The reversal of 21221111110122 is 22101111112212.

It is a happy number.

21221111110122 is a `hidden beast` number, since 212 + 211 + 11 + 110 + 122 = 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 = 21221111110095 and 21221111110104.

It is not an unprimeable number, because it can be changed into a prime (21221111110123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7655522103 + ... + 7655524874.

It is an arithmetic number, because the mean of its divisors is an integer number (1194261664284).

Almost surely, 221221111110122 is an apocalyptic number.

21221111110122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21221111110122 is an abundant number, since it is smaller than the sum of its proper divisors (36103448775510).

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

21221111110122 is a wasteful number, since it uses less digits than its factorization.

21221111110122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15311047003 (or 15311047000 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21221111110122 its reverse (22101111112212), we get a palindrome (43322222222334).

The spelling of 21221111110122 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred eleven million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 15311046977 30622093954 45933140931 91866281862 107177328839 137799422793 168421516747 214354657678 275598845586 321531986517 336843033494 505264550241 643063973034 964595959551 1010529100482 1178950617229 1515793650723 1929191919102 2357901234458 3031587301446 3536851851687 7073703703374 10610555555061 21221111110122