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21221102102220 = 223251723378149237
BaseRepresentation
bin1001101001100111011000…
…10000001010011011001100
32210010201101002111110220200
410310303230100022123030
510240141304114232340
6113044501214013500
74320113456441556
oct464635420123314
983121332443820
1021221102102220
1168419009a3929
1224689601a7290
13bac1ab6b1b57
1453516d1964d6
1526c02243b330
hex134cec40a6cc

21221102102220 has 288 divisors, whose sum is σ = 73042728490368. Its totient is φ = 4956821692416.

The previous prime is 21221102102219. The next prime is 21221102102323. The reversal of 21221102102220 is 2220120112212.

It is a happy number.

21221102102220 is a `hidden beast` number, since 2 + 1 + 221 + 10 + 210 + 2 + 220 = 666.

It is a super-2 number, since 2×212211021022202 (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 = 21221102102193 and 21221102102202.

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, 1470559 + ... + 6678678.

It is an arithmetic number, because the mean of its divisors is an integer number (253620585036).

Almost surely, 221221102102220 is an apocalyptic number.

21221102102220 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 21221102102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36521364245184).

21221102102220 is an abundant number, since it is smaller than the sum of its proper divisors (51821626388148).

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

21221102102220 is a wasteful number, since it uses less digits than its factorization.

21221102102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8149329 (or 8149324 counting only the distinct ones).

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

Adding to 21221102102220 its reverse (2220120112212), we get a palindrome (23441222214432).

The spelling of 21221102102220 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred two million, one hundred two thousand, two hundred twenty".