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22300031301120 = 2932510121534451
BaseRepresentation
bin1010001001000001000010…
…11100011011011000000000
32220221212021112010122102200
411010200201130123120000
510410330431003113440
6115232254251113200
74461060364350246
oct504404134333000
986855245118380
1022300031301120
117118432344111
122601a8b442800
13c59b64cb5c81
1457148207a796
1528a11d156c30
hex14482171b600

22300031301120 has 480 divisors, whose sum is σ = 78049704436704. Its totient is φ = 5883740160000.

The previous prime is 22300031301073. The next prime is 22300031301133. The reversal of 22300031301120 is 2110313000322.

22300031301120 is a `hidden beast` number, since 2 + 230 + 0 + 0 + 313 + 0 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×223000313011202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22300031301093 and 22300031301102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5010114895 + ... + 5010119345.

Almost surely, 222300031301120 is an apocalyptic number.

22300031301120 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 22300031301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39024852218352).

22300031301120 is an abundant number, since it is smaller than the sum of its proper divisors (55749673135584).

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

22300031301120 is a wasteful number, since it uses less digits than its factorization.

22300031301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6715 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22300031301120 its reverse (2110313000322), we get a palindrome (24410344301442).

The spelling of 22300031301120 in words is "twenty-two trillion, three hundred billion, thirty-one million, three hundred one thousand, one hundred twenty".