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21121244242020 = 223351323122333479
BaseRepresentation
bin1001100110101101011000…
…10000101010000001100100
32202210011121211022120211000
410303112230100222001210
510232022302011221040
6112530544325313300
74306650056565036
oct463265420520144
982704554276730
1021121244242020
11680351882153a
122451531b65830
13ba295647b700
145303b8d75c56
1526962a92c130
hex1335ac42a064

21121244242020 has 576 divisors, whose sum is σ = 73780877721600. Its totient is φ = 5008651614720.

The previous prime is 21121244241983. The next prime is 21121244242039. The reversal of 21121244242020 is 2024244212112.

21121244242020 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 12 + 442 + 4 + 202 + 0 = 666.

It is a super-2 number, since 2×211212442420202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 630863641 + ... + 630897119.

It is an arithmetic number, because the mean of its divisors is an integer number (128091801600).

Almost surely, 221121244242020 is an apocalyptic number.

21121244242020 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 21121244242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36890438860800).

21121244242020 is an abundant number, since it is smaller than the sum of its proper divisors (52659633479580).

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

21121244242020 is a wasteful number, since it uses less digits than its factorization.

21121244242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33777 (or 33756 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 21121244242020 its reverse (2024244212112), we get a palindrome (23145488454132).

The spelling of 21121244242020 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred forty-four million, two hundred forty-two thousand, twenty".