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2330121020 = 2254111325147
BaseRepresentation
bin1000101011100010…
…1101001100111100
320000101112102010112
42022320231030330
514233002333040
61023114325152
7111512462513
oct21270551474
96011472115
102330121020
11a96324457
125504297b8
132b1990246
1418166d67a
15d9871365
hex8ae2d33c

2330121020 has 48 divisors (see below), whose sum is σ = 5057162208. Its totient is φ = 901232640.

The previous prime is 2330121019. The next prime is 2330121041. The reversal of 2330121020 is 201210332.

It is a happy number.

2330121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2330120986 and 2330121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80087 + ... + 105233.

It is an arithmetic number, because the mean of its divisors is an integer number (105357546).

Almost surely, 22330121020 is an apocalyptic number.

2330121020 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 2330121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528581104).

2330121020 is an abundant number, since it is smaller than the sum of its proper divisors (2727041188).

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

2330121020 is a wasteful number, since it uses less digits than its factorization.

2330121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25310 (or 25308 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2330121020 is about 48271.3271000498. The cubic root of 2330121020 is about 1325.7434574565.

Adding to 2330121020 its reverse (201210332), we get a palindrome (2531331352).

The spelling of 2330121020 in words is "two billion, three hundred thirty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 113 164 205 226 410 452 565 820 1130 2260 4633 9266 18532 23165 25147 46330 50294 92660 100588 125735 251470 502940 1031027 2062054 2841611 4124108 5155135 5683222 10310270 11366444 14208055 20620540 28416110 56832220 116506051 233012102 466024204 582530255 1165060510 2330121020