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2201031312120 = 23325371031604297
BaseRepresentation
bin100000000001110111101…
…100001000001011111000
321210102020122201121201200
4200001313230020023320
5242030203003441440
64403050111414200
7315006415314654
oct40016754101370
97712218647650
102201031312120
117794a7882053
122b66a8b24360
1312c7304349b4
147875d90da64
153c3c1c6ac30
hex20077b082f8

2201031312120 has 192 divisors, whose sum is σ = 7418017264320. Its totient is φ = 565533591552.

The previous prime is 2201031312101. The next prime is 2201031312127. The reversal of 2201031312120 is 212131301022.

2201031312120 is a `hidden beast` number, since 2 + 201 + 0 + 31 + 312 + 120 = 666.

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 = 2201031312093 and 2201031312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201031312127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569812 + ... + 2174108.

It is an arithmetic number, because the mean of its divisors is an integer number (38635506585).

Almost surely, 22201031312120 is an apocalyptic number.

2201031312120 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 2201031312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709008632160).

2201031312120 is an abundant number, since it is smaller than the sum of its proper divisors (5216985952200).

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

2201031312120 is a wasteful number, since it uses less digits than its factorization.

2201031312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604454 (or 1604447 counting only the distinct ones).

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

Adding to 2201031312120 its reverse (212131301022), we get a palindrome (2413162613142).

The spelling of 2201031312120 in words is "two trillion, two hundred one billion, thirty-one million, three hundred twelve thousand, one hundred twenty".