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31001322031301 = 313175216055103
BaseRepresentation
bin1110000110010000011101…
…10010011000100011000101
311001202200211102202022222102
413003020032302120203011
513030411201420000201
6145533451041241445
76346525442255006
oct703101662304305
9131680742668872
1031001322031301
1199726500a16a6
123588320033285
13143b54858791b
1479268720b1ad
1538b63763326b
hex1c320ec988c5

31001322031301 has 16 divisors (see below), whose sum is σ = 32163937394688. Its totient is φ = 29849230819200.

The previous prime is 31001322031291. The next prime is 31001322031319. The reversal of 31001322031301 is 10313022310013.

It is a cyclic number.

It is not a de Polignac number, because 31001322031301 - 26 = 31001322031237 is a prime.

It is a super-2 number, since 2×310013220313012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001322033301) 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, 2092316 + ... + 8147418.

It is an arithmetic number, because the mean of its divisors is an integer number (2010246087168).

Almost surely, 231001322031301 is an apocalyptic number.

31001322031301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31001322031301 is a deficient number, since it is larger than the sum of its proper divisors (1162615363387).

31001322031301 is a wasteful number, since it uses less digits than its factorization.

31001322031301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055972.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31001322031301 its reverse (10313022310013), we get a palindrome (41314344341314).

The spelling of 31001322031301 in words is "thirty-one trillion, one billion, three hundred twenty-two million, thirty-one thousand, three hundred one".

Divisors: 1 31 317 521 9827 16151 165157 5119867 6055103 187708193 1919467651 3154708663 59503497181 97795968553 1000042646171 31001322031301