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2323121320 = 235132401857
BaseRepresentation
bin1000101001111000…
…0000010010101000
312222220100210100101
42022132000102220
514224204340240
61022304315144
7111366130312
oct21236002250
95886323311
102323121320
11a92383483
1254a012ab4
132b03ac200
1418076a7b2
15d8e3c39a
hex8a7804a8

2323121320 has 96 divisors (see below), whose sum is σ = 5680766520. Its totient is φ = 854630400.

The previous prime is 2323121287. The next prime is 2323121323. The reversal of 2323121320 is 231213232.

It can be written as a sum of positive squares in 12 ways, for example, as 592727716 + 1730393604 = 24346^2 + 41598^2 .

It is not an unprimeable number, because it can be changed into a prime (2323121323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2710332 + ... + 2711188.

Almost surely, 22323121320 is an apocalyptic number.

2323121320 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 2323121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840383260).

2323121320 is an abundant number, since it is smaller than the sum of its proper divisors (3357645200).

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

2323121320 is a wasteful number, since it uses less digits than its factorization.

2323121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2323121320 is about 48198.7688639451. The cubic root of 2323121320 is about 1324.4146117099.

Adding to 2323121320 its reverse (231213232), we get a palindrome (2554334552).

It can be divided in two parts, 23231 and 21320, that added together give a triangular number (44551 = T298).

The spelling of 2323121320 in words is "two billion, three hundred twenty-three million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 401 520 676 802 845 857 1352 1604 1690 1714 2005 3208 3380 3428 4010 4285 5213 6760 6856 8020 8570 10426 11141 16040 17140 20852 22282 26065 34280 41704 44564 52130 55705 67769 89128 104260 111410 135538 144833 208520 222820 271076 289666 338845 343657 445640 542152 579332 677690 687314 724165 1158664 1355380 1374628 1448330 1718285 2710760 2749256 2896660 3436570 4467541 5793320 6873140 8935082 13746280 17870164 22337705 35740328 44675410 58078033 89350820 116156066 178701640 232312132 290390165 464624264 580780330 1161560660 2323121320