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311032344312 = 233337138128181
BaseRepresentation
bin1001000011010101111…
…10001110111011111000
31002201211101020012001000
410201222332032323320
520043443240004222
6354515234325000
731320446206434
oct4415276167370
91081741205030
10311032344312
1110a9a9716928
1250344129760
132343a66c2b1
14110a84319c4
158155edb9ac
hex486af8eef8

311032344312 has 128 divisors (see below), whose sum is σ = 888003547200. Its totient is φ = 100798732800.

The previous prime is 311032344281. The next prime is 311032344313. The reversal of 311032344312 is 213443230113.

It is a happy number.

311032344312 is a `hidden beast` number, since 3 + 1 + 1 + 0 + 3 + 2 + 344 + 312 = 666.

It is a super-2 number, since 2×3110323443122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311032344313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11022862 + ... + 11051042.

Almost surely, 2311032344312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311032344312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444001773600).

311032344312 is an abundant number, since it is smaller than the sum of its proper divisors (576971202888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311032344312 is a wasteful number, since it uses less digits than its factorization.

311032344312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29614 (or 29604 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 311032344312 its reverse (213443230113), we get a palindrome (524475574425).

The spelling of 311032344312 in words is "three hundred eleven billion, thirty-two million, three hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1381 1998 2664 2762 3996 4143 5524 7992 8286 11048 12429 16572 24858 28181 33144 37287 49716 51097 56362 74574 84543 99432 102194 112724 149148 153291 169086 204388 225448 253629 298296 306582 338172 408776 459873 507258 613164 676344 760887 919746 1014516 1042697 1226328 1379619 1521774 1839492 2029032 2085394 2759238 3043548 3128091 3678984 4170788 5518476 6087096 6256182 8341576 9384273 11036952 12512364 18768546 25024728 28152819 37537092 38917961 56305638 75074184 77835922 112611276 116753883 155671844 225222552 233507766 311343688 350261649 467015532 700523298 934031064 1050784947 1401046596 1439964557 2101569894 2802093192 2879929114 4203139788 4319893671 5759858228 8406279576 8639787342 11519716456 12959681013 17279574684 25919362026 34559149368 38879043039 51838724052 77758086078 103677448104 155516172156 311032344312