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323223002130 = 23575360747843
BaseRepresentation
bin1001011010000011001…
…01111001110000010010
31010220021222002202202010
410231001211321300102
520243430042032010
6404253034403350
732231524121040
oct4550145716022
91126258082663
10323223002130
11115094a5a546
1252786890556
1324631169aa2
14119034bd390
15861b36d620
hex4b41979c12

323223002130 has 128 divisors (see below), whose sum is σ = 904788983808. Its totient is φ = 72364660992.

The previous prime is 323223002111. The next prime is 323223002131. The reversal of 323223002130 is 31200322323.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 323223002097 and 323223002106.

It is not an unprimeable number, because it can be changed into a prime (323223002131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6731989 + ... + 6779831.

It is an arithmetic number, because the mean of its divisors is an integer number (7068663936).

Almost surely, 2323223002130 is an apocalyptic number.

323223002130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 323223002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452394491904).

323223002130 is an abundant number, since it is smaller than the sum of its proper divisors (581565981678).

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

323223002130 is a wasteful number, since it uses less digits than its factorization.

323223002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48520.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 323223002130 its reverse (31200322323), we get a palindrome (354423324453).

The spelling of 323223002130 in words is "three hundred twenty-three billion, two hundred twenty-three million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 607 742 795 1113 1214 1590 1821 1855 2226 3035 3642 3710 4249 5565 6070 8498 9105 11130 12747 18210 21245 25494 32171 42490 47843 63735 64342 95686 96513 127470 143529 160855 193026 225197 239215 287058 321710 334901 450394 478430 482565 669802 675591 717645 965130 1004703 1125985 1351182 1435290 1674505 2009406 2251970 2535679 3349010 3377955 5023515 5071358 6755910 7607037 10047030 12678395 15214074 17749753 25356790 29040701 35499506 38035185 53249259 58081402 76070370 87122103 88748765 106498518 145203505 174244206 177497530 203284907 266246295 290407010 406569814 435610515 532492590 609854721 871221030 1016424535 1219709442 1539157153 2032849070 3049273605 3078314306 4617471459 6098547210 7695785765 9234942918 10774100071 15391571530 21548200142 23087357295 32322300213 46174714590 53870500355 64644600426 107741000710 161611501065 323223002130