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22001120002000 = 24532772307467
BaseRepresentation
bin1010000000010100010001…
…11100010011111111010000
32212220021201212210100112101
411000022020330103333100
510340431243210031000
6114443101444410144
74430346156260626
oct500121074237720
985807655710471
1022001120002000
117012693744a07
122573b6a6a6954
13c379098b0089
14560c07775516
1528247634ae6a
hex140288f13fd0

22001120002000 has 240 divisors, whose sum is σ = 53680069130688. Its totient is φ = 8721399513600.

The previous prime is 22001120001979. The next prime is 22001120002009. The reversal of 22001120002000 is 20002110022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001120002009) 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 47 ways as a sum of consecutive naturals, for example, 47111605767 + ... + 47111606233.

Almost surely, 222001120002000 is an apocalyptic number.

22001120002000 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 22001120002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26840034565344).

22001120002000 is an abundant number, since it is smaller than the sum of its proper divisors (31678949128688).

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

22001120002000 is an equidigital number, since it uses as much as digits as its factorization.

22001120002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22001120002000 its reverse (20002110022), we get a palindrome (22021122112022).

The spelling of 22001120002000 in words is "twenty-two trillion, one billion, one hundred twenty million, two thousand".