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10112312222320 = 2457114123073181
BaseRepresentation
bin1001001100100111010011…
…0001110010001001110000
31022210201122102111021221011
42103021310301302021300
52311140003412103240
633301310533440304
72062406344442560
oct223116461621160
938721572437834
1010112312222320
113249675692a70
121173a00aa0094
135847826b97c9
1426d61d442da0
151280a00236ea
hex93274c72270

10112312222320 has 480 divisors, whose sum is σ = 30152293129728. Its totient is φ = 3064034304000.

The previous prime is 10112312222317. The next prime is 10112312222329. The reversal of 10112312222320 is 2322221321101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10112312222291 and 10112312222300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112312222329) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3178971130 + ... + 3178974310.

Almost surely, 210112312222320 is an apocalyptic number.

10112312222320 is a gapful number since it is divisible by the number (10) 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 10112312222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076146564864).

10112312222320 is an abundant number, since it is smaller than the sum of its proper divisors (20039980907408).

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

10112312222320 is a wasteful number, since it uses less digits than its factorization.

10112312222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10112312222320 its reverse (2322221321101), we get a palindrome (12434533543421).

The spelling of 10112312222320 in words is "ten trillion, one hundred twelve billion, three hundred twelve million, two hundred twenty-two thousand, three hundred twenty".