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2331340100 = 2252157163911
BaseRepresentation
bin1000101011110101…
…0110110101000100
320000110211100101122
42022331112311010
514233310340400
61023200413112
7111526030625
oct21275266504
96013740348
102331340100
11a96a87361
12550917198
132b1cc90ab
141818a9a4c
15d9a12685
hex8af56d44

2331340100 has 72 divisors (see below), whose sum is σ = 5128088448. Its totient is φ = 919900800.

The previous prime is 2331340087. The next prime is 2331340103. The reversal of 2331340100 is 10431332.

It is a happy number.

2331340100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2331340103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2558645 + ... + 2559555.

Almost surely, 22331340100 is an apocalyptic number.

2331340100 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 2331340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564044224).

2331340100 is an abundant number, since it is smaller than the sum of its proper divisors (2796748348).

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

2331340100 is a wasteful number, since it uses less digits than its factorization.

2331340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1238 counting only the distinct ones).

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

The square root of 2331340100 is about 48283.9528207872. The cubic root of 2331340100 is about 1325.9746193501.

Adding to 2331340100 its reverse (10431332), we get a palindrome (2341771432).

The spelling of 2331340100 in words is "two billion, three hundred thirty-one million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 163 314 326 628 652 785 815 911 1570 1630 1822 3140 3260 3644 3925 4075 4555 7850 8150 9110 15700 16300 18220 22775 25591 45550 51182 91100 102364 127955 143027 148493 255910 286054 296986 511820 572108 593972 639775 715135 742465 1279550 1430270 1484930 2559100 2860540 2969860 3575675 3712325 7151350 7424650 14302700 14849300 23313401 46626802 93253604 116567005 233134010 466268020 582835025 1165670050 2331340100