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1322131230 = 23257342829
BaseRepresentation
bin100111011001110…
…0001111100011110
310102010211020002100
41032303201330132
510201431144410
6335105505530
744522634000
oct11663417436
93363736070
101322131230
11619343842
1230a9422a6
13180bb6494
14c7842370
157b1128c0
hex4ece1f1e

1322131230 has 96 divisors (see below), whose sum is σ = 4008888000. Its totient is φ = 302194368.

The previous prime is 1322131193. The next prime is 1322131231. The reversal of 1322131230 is 321312231.

1322131230 is a `hidden beast` number, since 1 + 322 + 1 + 312 + 30 = 666.

It is a super-3 number, since 3×13221312303 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322131231) 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, 9456 + ... + 52284.

It is an arithmetic number, because the mean of its divisors is an integer number (41759250).

Almost surely, 21322131230 is an apocalyptic number.

1322131230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322131230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004444000).

1322131230 is an abundant number, since it is smaller than the sum of its proper divisors (2686756770).

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

1322131230 is a wasteful number, since it uses less digits than its factorization.

1322131230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42863 (or 42846 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1322131230 is about 36361.1225074254. The cubic root of 1322131230 is about 1097.5513659816.

Adding to 1322131230 its reverse (321312231), we get a palindrome (1643443461).

The spelling of 1322131230 in words is "one billion, three hundred twenty-two million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 441 490 630 686 735 882 1029 1470 1715 2058 2205 3087 3430 4410 5145 6174 10290 15435 30870 42829 85658 128487 214145 256974 299803 385461 428290 599606 642435 770922 899409 1284870 1499015 1798818 1927305 2098621 2698227 2998030 3854610 4197242 4497045 5396454 6295863 8994090 10493105 12591726 13491135 14690347 18887589 20986210 26982270 29380694 31479315 37775178 44071041 62958630 73451735 88142082 94437945 132213123 146903470 188875890 220355205 264426246 440710410 661065615 1322131230