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1301232432031 = 7241276120759
BaseRepresentation
bin10010111011110111011…
…111110011001110011111
311121101201010101111010221
4102323313133303032133
5132304411000311111
62433440010542211
7163003516114600
oct22736737631637
94541633344127
101301232432031
1146193886a664
12190230137967
139592353586c
1446da111bda7
1523cac21a371
hex12ef77f339f

1301232432031 has 36 divisors (see below), whose sum is σ = 1553611594320. Its totient is φ = 1086656390400.

The previous prime is 1301232431999. The next prime is 1301232432037. The reversal of 1301232432031 is 1302342321031.

It is not a de Polignac number, because 1301232432031 - 25 = 1301232431999 is a prime.

It is a super-2 number, since 2×13012324320312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1301232431987 and 1301232432005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301232432037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62672430 + ... + 62693188.

It is an arithmetic number, because the mean of its divisors is an integer number (43155877620).

Almost surely, 21301232432031 is an apocalyptic number.

1301232432031 is a deficient number, since it is larger than the sum of its proper divisors (252379162289).

1301232432031 is an equidigital number, since it uses as much as digits as its factorization.

1301232432031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21616 (or 21568 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1301232432031 its reverse (1302342321031), we get a palindrome (2603574753062).

The spelling of 1301232432031 in words is "one trillion, three hundred one billion, two hundred thirty-two million, four hundred thirty-two thousand, thirty-one".

Divisors: 1 7 41 49 287 761 1681 2009 5327 11767 20759 31201 37289 82369 145313 218407 851119 1017191 1279241 1528849 5957833 8954687 15797599 34895879 41704831 62682809 110583193 244271153 647701559 774082351 1709898071 4533910913 26555763919 31737376391 185890347433 1301232432031