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2323031100 = 22352131035783
BaseRepresentation
bin1000101001110110…
…1010010000111100
312222220012012120220
42022131222100330
514224143443400
61022302341340
7111365303265
oct21235522074
95886165526
102323031100
11a92321715
12549b8a850
132b037a120
1418074596c
15d8e207a0
hex8a76a43c

2323031100 has 144 divisors (see below), whose sum is σ = 7309865472. Its totient is φ = 566173440.

The previous prime is 2323031099. The next prime is 2323031101. The reversal of 2323031100 is 11303232.

It is an interprime number because it is at equal distance from previous prime (2323031099) and next prime (2323031101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2323031100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323031101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398809 + ... + 404591.

Almost surely, 22323031100 is an apocalyptic number.

2323031100 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 2323031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654932736).

2323031100 is an abundant number, since it is smaller than the sum of its proper divisors (4986834372).

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

2323031100 is a wasteful number, since it uses less digits than its factorization.

2323031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2323031100 is about 48197.8329388366. The cubic root of 2323031100 is about 1324.3974666399.

Adding to 2323031100 its reverse (11303232), we get a palindrome (2334334332).

The spelling of 2323031100 in words is "two billion, three hundred twenty-three million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 103 130 150 156 195 206 260 300 309 325 390 412 515 618 650 780 975 1030 1236 1300 1339 1545 1950 2060 2575 2678 3090 3900 4017 5150 5356 5783 6180 6695 7725 8034 10300 11566 13390 15450 16068 17349 20085 23132 26780 28915 30900 33475 34698 40170 57830 66950 69396 75179 80340 86745 100425 115660 133900 144575 150358 173490 200850 225537 289150 300716 346980 375895 401700 433725 451074 578300 595649 751790 867450 902148 1127685 1191298 1503580 1734900 1786947 1879475 2255370 2382596 2978245 3573894 3758950 4510740 5638425 5956490 7147788 7517900 7743437 8934735 11276850 11912980 14891225 15486874 17869470 22553700 23230311 29782450 30973748 35738940 38717185 44673675 46460622 59564900 77434370 89347350 92921244 116151555 154868740 178694700 193585925 232303110 387171850 464606220 580757775 774343700 1161515550 2323031100