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2231211120320 = 265713174507133
BaseRepresentation
bin100000011101111110100…
…010111101011011000000
321220022010221100201120202
4200131332202331123000
5243024010021322240
64425000525424332
7320125330412660
oct40357642753300
97808127321522
102231211120320
117902845676a6
1230051010b0a8
1313252cb34580
1479dc3ba21a0
153d08b561315
hex2077e8bd6c0

2231211120320 has 224 divisors, whose sum is σ = 6923823193728. Its totient is φ = 664603656192.

The previous prime is 2231211120319. The next prime is 2231211120331. The reversal of 2231211120320 is 230211121322.

2231211120320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×22312111203203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2231211120292 and 2231211120301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1758527 + ... + 2748606.

It is an arithmetic number, because the mean of its divisors is an integer number (30909924972).

Almost surely, 22231211120320 is an apocalyptic number.

2231211120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231211120320 is an abundant number, since it is smaller than the sum of its proper divisors (4692612073408).

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

2231211120320 is a wasteful number, since it uses less digits than its factorization.

2231211120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507187 (or 4507177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2231211120320 its reverse (230211121322), we get a palindrome (2461422241642).

The spelling of 2231211120320 in words is "two trillion, two hundred thirty-one billion, two hundred eleven million, one hundred twenty thousand, three hundred twenty".