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2313331020 = 223257111337347
BaseRepresentation
bin1000100111100010…
…1010000101001100
312222012221101120200
42021320222011030
514214203043040
61021314413500
7111216663210
oct21170520514
95865841520
102313331020
11a878a6920
12546891290
132ab361c30
1417d33c940
15d8156630
hex89e2a14c

2313331020 has 576 divisors, whose sum is σ = 9704088576. Its totient is φ = 430479360.

The previous prime is 2313331019. The next prime is 2313331037. The reversal of 2313331020 is 201333132.

2313331020 is a `hidden beast` number, since 2 + 313 + 331 + 0 + 20 = 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 = 2313330984 and 2313331002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6666487 + ... + 6666833.

It is an arithmetic number, because the mean of its divisors is an integer number (16847376).

Almost surely, 22313331020 is an apocalyptic number.

2313331020 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 2313331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852044288).

2313331020 is an abundant number, since it is smaller than the sum of its proper divisors (7390757556).

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

2313331020 is a wasteful number, since it uses less digits than its factorization.

2313331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2313331020 is about 48097.0999125727. The cubic root of 2313331020 is about 1322.5515042662.

Adding to 2313331020 its reverse (201333132), we get a palindrome (2514664152).

It can be divided in two parts, 2313 and 331020, that added together give a palindrome (333333).

The spelling of 2313331020 in words is "two billion, three hundred thirteen million, three hundred thirty-one thousand, twenty".