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1320031422 = 2321911334157
BaseRepresentation
bin100111010101110…
…0001010010111110
310101222212112200200
41032223201102332
510200412001142
6334552504330
744466040053
oct11653412276
93358775620
101320031422
1161813a166
1230a0ab0a6
1318062c7a8
14c745702a
157ad4a64c
hex4eae14be

1320031422 has 48 divisors (see below), whose sum is σ = 3037329360. Its totient is φ = 413150976.

The previous prime is 1320031397. The next prime is 1320031439. The reversal of 1320031422 is 2241300231.

1320031422 is a `hidden beast` number, since 13 + 200 + 31 + 422 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1320031395 and 1320031404.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21568 + ... + 55724.

It is an arithmetic number, because the mean of its divisors is an integer number (63277695).

Almost surely, 21320031422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320031422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518664680).

1320031422 is an abundant number, since it is smaller than the sum of its proper divisors (1717297938).

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

1320031422 is a wasteful number, since it uses less digits than its factorization.

1320031422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34297 (or 34294 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1320031422 is about 36332.2366776393. The cubic root of 1320031422 is about 1096.9700146393.

Adding to 1320031422 its reverse (2241300231), we get a palindrome (3561331653).

The spelling of 1320031422 in words is "one billion, three hundred twenty million, thirty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 113 114 171 226 339 342 678 1017 2034 2147 4294 6441 12882 19323 34157 38646 68314 102471 204942 307413 614826 648983 1297966 1946949 3859741 3893898 5840847 7719482 11579223 11681694 23158446 34737669 69475338 73335079 146670158 220005237 440010474 660015711 1320031422