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22312110000 = 243543720101
BaseRepresentation
bin10100110001111001…
…111100011110110000
32010120222011121220110
4110301321330132300
5331143400010000
614130001541320
71416625543245
oct246171743660
963528147813
1022312110000
11950a671534
1243a8344840
1321476ccb6b
1411193c75cc
158a8c30850
hex531e7c7b0

22312110000 has 200 divisors, whose sum is σ = 73976807344. Its totient is φ = 5788800000.

The previous prime is 22312109977. The next prime is 22312110019. The reversal of 22312110000 is 1121322.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×223121100003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1099950 + ... + 1120050.

Almost surely, 222312110000 is an apocalyptic number.

22312110000 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 22312110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36988403672).

22312110000 is an abundant number, since it is smaller than the sum of its proper divisors (51664697344).

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

22312110000 is a wasteful number, since it uses less digits than its factorization.

22312110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20169 (or 20148 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22312110000 its reverse (1121322), we get a palindrome (22313231322).

The spelling of 22312110000 in words is "twenty-two billion, three hundred twelve million, one hundred ten thousand".