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1321120031 = 711171009259
BaseRepresentation
bin100111010111110…
…1011000100011111
310102001220211222112
41032233223010133
510201201320111
6335032104235
744511222620
oct11657530437
93361824875
101321120031
11618813040
1230a53507b
1318092113a
14c765ba47
157aeb2e8b
hex4ebeb11f

1321120031 has 16 divisors (see below), whose sum is σ = 1744001280. Its totient is φ = 968887680.

The previous prime is 1321120013. The next prime is 1321120043. The reversal of 1321120031 is 1300211231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1321120031 is a prime.

It is a super-2 number, since 2×13211200312 = 3490716272618881922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1321119988 and 1321120015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321120001) 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 15 ways as a sum of consecutive naturals, for example, 503321 + ... + 505938.

It is an arithmetic number, because the mean of its divisors is an integer number (109000080).

Almost surely, 21321120031 is an apocalyptic number.

1321120031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1321120031 is a deficient number, since it is larger than the sum of its proper divisors (422881249).

1321120031 is a wasteful number, since it uses less digits than its factorization.

1321120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009294.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1321120031 is about 36347.2149001818. The cubic root of 1321120031 is about 1097.2714830462.

Adding to 1321120031 its reverse (1300211231), we get a palindrome (2621331262).

It can be divided in two parts, 13211200 and 31, that added together give a palindrome (13211231).

The spelling of 1321120031 in words is "one billion, three hundred twenty-one million, one hundred twenty thousand, thirty-one".

Divisors: 1 7 11 17 77 119 187 1309 1009259 7064813 11101849 17157403 77712943 120101821 188731433 1321120031