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21332022302040 = 23356179177720759
BaseRepresentation
bin1001101100110101111111…
…00111001001010101011000
32210112022200022102110010120
410312122333213021111120
510244000440202131130
6113211443514513240
74331121253541412
oct466327747112530
983468608373116
1021332022302040
11688495051275a
122486357135820
13bb97a7728798
1453a6926739b2
1526ed65200910
hex1366bf9c9558

21332022302040 has 256 divisors, whose sum is σ = 65908781568000. Its totient is φ = 5521083310080.

The previous prime is 21332022302033. The next prime is 21332022302047. The reversal of 21332022302040 is 4020322023312.

It is an interprime number because it is at equal distance from previous prime (21332022302033) and next prime (21332022302047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21332022302040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332022302047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027593181 + ... + 1027613939.

It is an arithmetic number, because the mean of its divisors is an integer number (257456178000).

Almost surely, 221332022302040 is an apocalyptic number.

21332022302040 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 21332022302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32954390784000).

21332022302040 is an abundant number, since it is smaller than the sum of its proper divisors (44576759265960).

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

21332022302040 is a wasteful number, since it uses less digits than its factorization.

21332022302040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22690 (or 22686 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 21332022302040 its reverse (4020322023312), we get a palindrome (25352344325352).

The spelling of 21332022302040 in words is "twenty-one trillion, three hundred thirty-two billion, twenty-two million, three hundred two thousand, forty".