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2123120101320 = 2332537569280129
BaseRepresentation
bin11110111001010011110…
…100011100011111001000
321111222010220001000211200
4132321103310130133020
5234241122221220240
64303203052024200
7306250616045541
oct36712364343710
97458126030750
102123120101320
11749456a47239
122a3584762060
13125294c9402a
1474a8c3434c8
153a361d4c930
hex1ee53d1c7c8

2123120101320 has 192 divisors, whose sum is σ = 7099110486000. Its totient is φ = 549893505024.

The previous prime is 2123120101301. The next prime is 2123120101321. The reversal of 2123120101320 is 231010213212.

2123120101320 is a `hidden beast` number, since 2 + 123 + 120 + 101 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 914919032196 + 1208201069124 = 956514^2 + 1099182^2 .

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 = 2123120101293 and 2123120101302.

It is not an unprimeable number, because it can be changed into a prime (2123120101321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7439016 + ... + 7719144.

Almost surely, 22123120101320 is an apocalyptic number.

2123120101320 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 2123120101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549555243000).

2123120101320 is an abundant number, since it is smaller than the sum of its proper divisors (4975990384680).

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

2123120101320 is a wasteful number, since it uses less digits than its factorization.

2123120101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280752 (or 280745 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2123120101320 its reverse (231010213212), we get a palindrome (2354130314532).

The spelling of 2123120101320 in words is "two trillion, one hundred twenty-three billion, one hundred twenty million, one hundred one thousand, three hundred twenty".