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2330123120 = 245139532351
BaseRepresentation
bin1000101011100010…
…1101101101110000
320000101112112000022
42022320231231300
514233002414440
61023114343012
7111512501603
oct21270555560
96011475008
102330123120
11a96325a96
1255042aa68
132b19911a0
1418167033a
15d9871cb5
hex8ae2db70

2330123120 has 80 divisors (see below), whose sum is σ = 5842876032. Its totient is φ = 859084800.

The previous prime is 2330123101. The next prime is 2330123141. The reversal of 2330123120 is 213210332.

2330123120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 989945 + ... + 992295.

Almost surely, 22330123120 is an apocalyptic number.

2330123120 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 2330123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921438016).

2330123120 is an abundant number, since it is smaller than the sum of its proper divisors (3512752912).

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

2330123120 is a wasteful number, since it uses less digits than its factorization.

2330123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2330123120 is about 48271.3488520882. The cubic root of 2330123120 is about 1325.7438557277.

Adding to 2330123120 its reverse (213210332), we get a palindrome (2543333452).

The spelling of 2330123120 in words is "two billion, three hundred thirty million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 953 1040 1906 2351 3812 4702 4765 7624 9404 9530 11755 12389 15248 18808 19060 23510 24778 30563 37616 38120 47020 49556 61126 61945 76240 94040 99112 122252 123890 152815 188080 198224 244504 247780 305630 489008 495560 611260 991120 1222520 2240503 2445040 4481006 8962012 11202515 17924024 22405030 29126539 35848048 44810060 58253078 89620120 116506156 145632695 179240240 233012312 291265390 466024624 582530780 1165061560 2330123120