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22201230102000 = 2435323375382039
BaseRepresentation
bin1010000110001001000000…
…11011110000110111110000
32220121102020220020200211120
411003010200123300313300
510402221104401231000
6115115034310342240
74450662115124115
oct503044033606760
986542226220746
1022201230102000
11708a541675944
1225a68b705a980
13c5074a96ac81
1456a78c31690c
152877892bc6a0
hex1431206f0df0

22201230102000 has 640 divisors, whose sum is σ = 78155677716480. Its totient is φ = 5405844787200.

The previous prime is 22201230101989. The next prime is 22201230102019. The reversal of 22201230102000 is 20103210222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 127 ways as a sum of consecutive naturals, for example, 270576981 + ... + 270659019.

It is an arithmetic number, because the mean of its divisors is an integer number (122118246432).

Almost surely, 222201230102000 is an apocalyptic number.

22201230102000 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 22201230102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39077838858240).

22201230102000 is an abundant number, since it is smaller than the sum of its proper divisors (55954447614480).

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

22201230102000 is a wasteful number, since it uses less digits than its factorization.

22201230102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82178 (or 82162 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22201230102000 its reverse (20103210222), we get a palindrome (22221333312222).

The spelling of 22201230102000 in words is "twenty-two trillion, two hundred one billion, two hundred thirty million, one hundred two thousand".