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21431122020 = 223357111074817
BaseRepresentation
bin10011111101011001…
…001111100001100100
32001022120102210121000
4103331121033201210
5322342331401040
613502331153300
71356040350210
oct237531174144
961276383530
1021431122020
1190a83451a0
1241a12a5830
132037031cb9
1410743b9940
1585670c130
hex4fd64f864

21431122020 has 384 divisors, whose sum is σ = 83921080320. Its totient is φ = 4410685440.

The previous prime is 21431121997. The next prime is 21431122021. The reversal of 21431122020 is 2022113412.

It is a happy number.

21431122020 is a `hidden beast` number, since 21 + 431 + 12 + 202 + 0 = 666.

It is a super-2 number, since 2×214311220202 (a number of 21 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 = 21431121984 and 21431122002.

It is not an unprimeable number, because it can be changed into a prime (21431122021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4446652 + ... + 4451468.

It is an arithmetic number, because the mean of its divisors is an integer number (218544480).

Almost surely, 221431122020 is an apocalyptic number.

21431122020 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 21431122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41960540160).

21431122020 is an abundant number, since it is smaller than the sum of its proper divisors (62489958300).

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

21431122020 is a wasteful number, since it uses less digits than its factorization.

21431122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21431122020 its reverse (2022113412), we get a palindrome (23453235432).

The spelling of 21431122020 in words is "twenty-one billion, four hundred thirty-one million, one hundred twenty-two thousand, twenty".