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2330101020 = 22351322397103
BaseRepresentation
bin1000101011100010…
…1000010100011100
320000101111101200210
42022320220110130
514233001213040
61023114052420
7111512350302
oct21270502434
96011441623
102330101020
11a96310425
1255041a110
132b1984100
14181666272
15d986a480
hex8ae2851c

2330101020 has 288 divisors, whose sum is σ = 7520228352. Its totient is φ = 537698304.

The previous prime is 2330101013. The next prime is 2330101051. The reversal of 2330101020 is 201010332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2330100987 and 2330101005.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 22622289 + ... + 22622391.

It is an arithmetic number, because the mean of its divisors is an integer number (26111904).

Almost surely, 22330101020 is an apocalyptic number.

2330101020 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 2330101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760114176).

2330101020 is an abundant number, since it is smaller than the sum of its proper divisors (5190127332).

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

2330101020 is a wasteful number, since it uses less digits than its factorization.

2330101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2330101020 is about 48271.1199372876. The cubic root of 2330101020 is about 1325.7396643853.

Adding to 2330101020 its reverse (201010332), we get a palindrome (2531111352).

The spelling of 2330101020 in words is "two billion, three hundred thirty million, one hundred one thousand, twenty".