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311431031223021 = 32613557159479797
BaseRepresentation
bin100011011001111101010111…
…1111111001111001011101101
31111211200111221000220002120200
41012303322233333033023231
5311304441222443114041
63022205235102504113
7122412102163625403
oct10663725777171355
91454614830802520
10311431031223021
1190260182153996
122ab19506295039
13104a0a8807c018
1456c94b1533473
152601080d381b6
hex11b3eaffcf2ed

311431031223021 has 24 divisors (see below), whose sum is σ = 457347871754904. Its totient is φ = 204159655647360.

The previous prime is 311431031223001. The next prime is 311431031223049. The reversal of 311431031223021 is 120322130134113.

311431031223021 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 310 + 312 + 2 + 30 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62825993901225 + 248605037321796 = 7926285^2 + 15767214^2 .

It is not a de Polignac number, because 311431031223021 - 26 = 311431031222957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311431031223001) 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, 77787106 + ... + 81692691.

It is an arithmetic number, because the mean of its divisors is an integer number (19056161323121).

Almost surely, 2311431031223021 is an apocalyptic number.

It is an amenable number.

311431031223021 is a deficient number, since it is larger than the sum of its proper divisors (145916840531883).

311431031223021 is a wasteful number, since it uses less digits than its factorization.

311431031223021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159483421 (or 159483418 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 311431031223021 its reverse (120322130134113), we get a palindrome (431753161357134).

The spelling of 311431031223021 in words is "three hundred eleven trillion, four hundred thirty-one billion, thirty-one million, two hundred twenty-three thousand, twenty-one".

Divisors: 1 3 9 61 183 549 3557 10671 32013 216977 650931 1952793 159479797 478439391 1435318173 9728267617 29184802851 87554408553 567269637929 1701808913787 5105426741361 34603447913669 103810343741007 311431031223021