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22130242411200 = 2635271161981577
BaseRepresentation
bin1010000100000100110010…
…01111001101101011000000
32220100122000122101100220020
411002002121033031223000
510400040214024124300
6115022254254013440
74442600015531340
oct502023117155300
986318018340806
1022130242411200
1170624239a8090
122594ba54a7280
13c46b46a060c1
14567176478d20
152859d210c8a0
hex1420993cdac0

22130242411200 has 672 divisors, whose sum is σ = 92005363327488. Its totient is φ = 4523102208000.

The previous prime is 22130242411183. The next prime is 22130242411253. The reversal of 22130242411200 is 211424203122.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 22054812 + ... + 23036388.

Almost surely, 222130242411200 is an apocalyptic number.

22130242411200 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 22130242411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46002681663744).

22130242411200 is an abundant number, since it is smaller than the sum of its proper divisors (69875120916288).

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

22130242411200 is a wasteful number, since it uses less digits than its factorization.

22130242411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981681 (or 981666 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22130242411200 its reverse (211424203122), we get a palindrome (22341666614322).

The spelling of 22130242411200 in words is "twenty-two trillion, one hundred thirty billion, two hundred forty-two million, four hundred eleven thousand, two hundred".