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1322400131 = 13172477489
BaseRepresentation
bin100111011010010…
…0011100110000011
310102011022212221122
41032310203212003
510202013301011
6335115342455
744525133653
oct11664434603
93364285848
101322400131
11619507878
1230aa51a2b
13180c7b9b0
14c78b2363
157b1673db
hex4ed23983

1322400131 has 24 divisors (see below), whose sum is σ = 1545216960. Its totient is φ = 1124278272.

The previous prime is 1322400119. The next prime is 1322400161. The reversal of 1322400131 is 1310042231.

It is not a de Polignac number, because 1322400131 - 214 = 1322383747 is a prime.

It is a super-2 number, since 2×13224001312 = 3497484212937634322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1322400161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172835 + ... + 180323.

It is an arithmetic number, because the mean of its divisors is an integer number (64384040).

Almost surely, 21322400131 is an apocalyptic number.

1322400131 is a deficient number, since it is larger than the sum of its proper divisors (222816829).

1322400131 is a wasteful number, since it uses less digits than its factorization.

1322400131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7583 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1322400131 is about 36364.8199638057. The cubic root of 1322400131 is about 1097.6257692499.

Adding to 1322400131 its reverse (1310042231), we get a palindrome (2632442362).

The spelling of 1322400131 in words is "one billion, three hundred twenty-two million, four hundred thousand, one hundred thirty-one".

Divisors: 1 13 17 47 221 289 611 799 3757 7489 10387 13583 97357 127313 176579 351983 1655069 2164321 4575779 5983711 28136173 77788243 101723087 1322400131