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2313220111020 = 223257133717921323
BaseRepresentation
bin100001101010010110101…
…010011011101010101100
322012010211021202002201200
4201222112222123222230
5300344433322023040
64530402331005500
7326060515343220
oct41522652335254
98163737662650
102313220111020
118120384a1175
12314398899890
1313a19c240a80
147dd63696780
154028b0bb630
hex21a96a9baac

2313220111020 has 576 divisors, whose sum is σ = 8919395896320. Its totient is φ = 472198035456.

The previous prime is 2313220111019. The next prime is 2313220111021. The reversal of 2313220111020 is 201110223132.

2313220111020 is a `hidden beast` number, since 2 + 313 + 220 + 1 + 110 + 20 = 666.

2313220111020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2313220111019) and next prime (2313220111021).

It is a super-2 number, since 2×23132201110202 (a number of 26 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 = 2313220110984 and 2313220111002.

It is not an unprimeable number, because it can be changed into a prime (2313220111021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108474079 + ... + 108495401.

It is an arithmetic number, because the mean of its divisors is an integer number (15485062320).

Almost surely, 22313220111020 is an apocalyptic number.

2313220111020 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 2313220111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459697948160).

2313220111020 is an abundant number, since it is smaller than the sum of its proper divisors (6606175785300).

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

2313220111020 is a wasteful number, since it uses less digits than its factorization.

2313220111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21574 (or 21569 counting only the distinct ones).

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

Adding to 2313220111020 its reverse (201110223132), we get a palindrome (2514330334152).

The spelling of 2313220111020 in words is "two trillion, three hundred thirteen billion, two hundred twenty million, one hundred eleven thousand, twenty".