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21231323322000 = 243531122310112589
BaseRepresentation
bin1001101001111010011010…
…11111000001011010010000
32210011200202102112020112020
410310331031133001122100
510240323222232301000
6113053311342131440
74320624661410261
oct464751537013220
983150672466466
1021231323322000
116846176574600
12246a933280b80
13bb014a175cac
1453585c862968
1526c41e945ba0
hex134f4d7c1690

21231323322000 has 960 divisors, whose sum is σ = 79293039920640. Its totient is φ = 4874073600000.

The previous prime is 21231323321987. The next prime is 21231323322037. The reversal of 21231323322000 is 22332313212.

It is a super-2 number, since 2×212313233220002 (a number of 27 digits) contains 22 as substring.

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

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, 1686491706 + ... + 1686504294.

It is an arithmetic number, because the mean of its divisors is an integer number (82596916584).

Almost surely, 221231323322000 is an apocalyptic number.

21231323322000 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 21231323322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39646519960320).

21231323322000 is an abundant number, since it is smaller than the sum of its proper divisors (58061716598640).

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

21231323322000 is a wasteful number, since it uses less digits than its factorization.

21231323322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12761 (or 12734 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 21231323322000 its reverse (22332313212), we get a palindrome (21253655635212).

The spelling of 21231323322000 in words is "twenty-one trillion, two hundred thirty-one billion, three hundred twenty-three million, three hundred twenty-two thousand".