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1321021331 = 72793311031
BaseRepresentation
bin100111010111101…
…0010111110010011
310102001201211120222
41032233102332103
510201140140311
6335030023255
744510332100
oct11657227623
93361654528
101321021331
11618755973
1230a4a7b2b
131808b8236
14c7633aa7
157ae93adb
hex4ebd2f93

1321021331 has 24 divisors (see below), whose sum is σ = 1562365440. Its totient is φ = 1113512400.

The previous prime is 1321021291. The next prime is 1321021337. The reversal of 1321021331 is 1331201231.

It is not a de Polignac number, because 1321021331 - 230 = 247279507 is a prime.

It is a super-2 number, since 2×13210213312 = 3490194713914023122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1321021337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1280786 + ... + 1281816.

It is an arithmetic number, because the mean of its divisors is an integer number (65098560).

Almost surely, 21321021331 is an apocalyptic number.

1321021331 is a deficient number, since it is larger than the sum of its proper divisors (241344109).

1321021331 is a wasteful number, since it uses less digits than its factorization.

1321021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1321021331 is about 36345.8571366807. The cubic root of 1321021331 is about 1097.2441568911.

Adding to 1321021331 its reverse (1331201231), we get a palindrome (2652222562).

The spelling of 1321021331 in words is "one billion, three hundred twenty-one million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 7 49 79 331 553 1031 2317 3871 7217 16219 26149 50519 81449 183043 341261 570143 1281301 2388827 3991001 16721789 26959619 188717333 1321021331