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311013320022031 = 11229330126850359
BaseRepresentation
bin100011010110111010110111…
…0011101011101100000001111
31111210012120202000120111022211
41012231311232131131200033
5311231120234411201111
63021245314034051251
7122336654001201034
oct10655655635354017
91453176660514284
10311013320022031
119010a010063100
122aa7056b719b27
13104705792b8ac3
1456b31a703d38b
1525e52845d1521
hex11add6e75d80f

311013320022031 has 24 divisors (see below), whose sum is σ = 353752955992800. Its totient is φ = 272907038712000.

The previous prime is 311013320022019. The next prime is 311013320022047. The reversal of 311013320022031 is 130220023310113.

It is not a de Polignac number, because 311013320022031 - 243 = 302217226999823 is a prime.

It is a super-2 number, since 2×3110133200220312 (a number of 30 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 = 311013320021993 and 311013320022011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311013320022011) 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, 1841971 + ... + 25008388.

It is an arithmetic number, because the mean of its divisors is an integer number (14739706499700).

Almost surely, 2311013320022031 is an apocalyptic number.

311013320022031 is a deficient number, since it is larger than the sum of its proper divisors (42739635970769).

311013320022031 is a wasteful number, since it uses less digits than its factorization.

311013320022031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26853711 (or 26853700 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 311013320022031 its reverse (130220023310113), we get a palindrome (441233343332144).

The spelling of 311013320022031 in words is "three hundred eleven trillion, thirteen billion, three hundred twenty million, twenty-two thousand, thirty-one".

Divisors: 1 11 29 121 319 3301 3509 36311 95729 399421 1053019 11583209 26850359 295353949 778660411 3248893439 8565264521 88633035059 94217909731 974963385649 2570358016711 10724597242139 28273938183821 311013320022031