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2331133300 = 225261401953
BaseRepresentation
bin1000101011110010…
…0100010101110100
320000110102211201101
42022330210111310
514233232231200
61023152135444
7111524206666
oct21274442564
96013384641
102331133300
11a96955a51
12550837584
132b1c55c22
14181854536
15d99c126a
hex8af24574

2331133300 has 72 divisors (see below), whose sum is σ = 5159716632. Its totient is φ = 913920000.

The previous prime is 2331133267. The next prime is 2331133333. The reversal of 2331133300 is 33311332.

It is an interprime number because it is at equal distance from previous prime (2331133267) and next prime (2331133333).

It can be written as a sum of positive squares in 12 ways, for example, as 607721104 + 1723412196 = 24652^2 + 41514^2 .

It is a congruent 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, 2445624 + ... + 2446576.

It is an arithmetic number, because the mean of its divisors is an integer number (71662731).

Almost surely, 22331133300 is an apocalyptic number.

2331133300 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 2331133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579858316).

2331133300 is an abundant number, since it is smaller than the sum of its proper divisors (2828583332).

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

2331133300 is a wasteful number, since it uses less digits than its factorization.

2331133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 2331133300 is about 48281.8112750547. The cubic root of 2331133300 is about 1325.9354116201.

Adding to 2331133300 its reverse (33311332), we get a palindrome (2364444632).

The spelling of 2331133300 in words is "two billion, three hundred thirty-one million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 401 610 802 953 1220 1525 1604 1906 2005 3050 3812 4010 4765 6100 8020 9530 10025 19060 20050 23825 24461 40100 47650 48922 58133 95300 97844 116266 122305 232532 244610 290665 382153 489220 581330 611525 764306 1162660 1223050 1453325 1528612 1910765 2446100 2906650 3821530 5813300 7643060 9553825 19107650 23311333 38215300 46622666 93245332 116556665 233113330 466226660 582783325 1165566650 2331133300