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20000112300000 = 253355723139331
BaseRepresentation
bin1001000110000101000111…
…00101101100111111100000
32121210222210012202221022000
410203002203211230333200
510110140212222100000
6110311531425044000
74132650266403060
oct443024345547740
977728705687260
1020000112300000
116410aaaa9a758
1222b01a5186600
13b21005642c41
144d20211313a0
1524a3aeb6a000
hex1230a396cfe0

20000112300000 has 2304 divisors, whose sum is σ = 87841577779200. Its totient is φ = 4328121600000.

The previous prime is 20000112299929. The next prime is 20000112300029. The reversal of 20000112300000 is 321100002.

It is a happy number.

It is a super-2 number, since 2×200001123000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60423299835 + ... + 60423300165.

It is an arithmetic number, because the mean of its divisors is an integer number (38125684800).

Almost surely, 220000112300000 is an apocalyptic number.

20000112300000 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 20000112300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43920788889600).

20000112300000 is an abundant number, since it is smaller than the sum of its proper divisors (67841465479200).

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

20000112300000 is a wasteful number, since it uses less digits than its factorization.

20000112300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20000112300000 its reverse (321100002), we get a palindrome (20000433400002).

The spelling of 20000112300000 in words is "twenty trillion, one hundred twelve million, three hundred thousand".