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311212112031 = 322937113285191
BaseRepresentation
bin1001000011101011010…
…11111111100010011111
31002202021220111022222200
410201311223333202133
520044330300041111
6354545135342543
731325061206532
oct4416553774237
91082256438880
10311212112031
1110aa9113aa97
1250394381a53
1323468991522
14110c4268a19
158166b9b256
hex4875aff89f

311212112031 has 48 divisors (see below), whose sum is σ = 481826180160. Its totient is φ = 193180861440.

The previous prime is 311212111943. The next prime is 311212112087. The reversal of 311212112031 is 130211212113.

311212112031 is a `hidden beast` number, since 311 + 212 + 112 + 0 + 31 = 666.

It is not a de Polignac number, because 311212112031 - 29 = 311212111519 is a prime.

It is a super-2 number, since 2×3112121120312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311212111995 and 311212112013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311212111031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 948646 + ... + 1233836.

It is an arithmetic number, because the mean of its divisors is an integer number (10038045420).

Almost surely, 2311212112031 is an apocalyptic number.

311212112031 is a deficient number, since it is larger than the sum of its proper divisors (170614068129).

311212112031 is a wasteful number, since it uses less digits than its factorization.

311212112031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285376 (or 285373 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 311212112031 its reverse (130211212113), we get a palindrome (441423324144).

The spelling of 311212112031 in words is "three hundred eleven billion, two hundred twelve million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 9 29 37 87 111 113 261 333 339 1017 1073 3219 3277 4181 9657 9831 12543 29493 37629 121249 285191 363747 855573 1091241 2566719 8270539 10552067 24811617 31656201 32226583 74434851 94968603 96679749 290039247 306009943 918029829 934570907 1192383571 2754089487 2803712721 3577150713 8411138163 10731452139 34579123559 103737370677 311212112031