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2331220100 = 2252112973079
BaseRepresentation
bin1000101011110011…
…1001100010000100
320000110121020210012
42022330321202010
514233243020400
61023154045352
7111525021026
oct21274714204
96013536705
102331220100
11a96a05190
12550879858
132b1c865a1
14181878016
15d99dbd35
hex8af39884

2331220100 has 72 divisors (see below), whose sum is σ = 5709009600. Its totient is φ = 818473600.

The previous prime is 2331220061. The next prime is 2331220121. The reversal of 2331220100 is 10221332.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4640 + ... + 68439.

It is an arithmetic number, because the mean of its divisors is an integer number (79291800).

Almost surely, 22331220100 is an apocalyptic number.

2331220100 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 2331220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854504800).

2331220100 is an abundant number, since it is smaller than the sum of its proper divisors (3377789500).

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

2331220100 is a wasteful number, since it uses less digits than its factorization.

2331220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73133 (or 73126 counting only the distinct ones).

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

The square root of 2331220100 is about 48282.7101559140. The cubic root of 2331220100 is about 1325.9518685319.

Adding to 2331220100 its reverse (10221332), we get a palindrome (2341441432).

The spelling of 2331220100 in words is "two billion, three hundred thirty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 73079 146158 292316 365395 730790 803869 1461580 1607738 1826975 2119291 3215476 3653950 4019345 4238582 7307900 8038690 8477164 10596455 16077380 20096725 21192910 23312201 40193450 42385820 46624402 52982275 80386900 93248804 105964550 116561005 211929100 233122010 466244020 582805025 1165610050 2331220100