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3112311132 = 2232789151919
BaseRepresentation
bin1011100110000010…
…0001100101011100
322000220100210020200
42321200201211130
522333222424012
61232455343500
7140061131250
oct27140414534
98026323220
103112311132
111357900467
1272a381b90
133a7a48828
142174c0260
1513337b3dc
hexb982195c

3112311132 has 144 divisors (see below), whose sum is σ = 9162316800. Its totient is φ = 872467200.

The previous prime is 3112311113. The next prime is 3112311143. The reversal of 3112311132 is 2311132113.

It is a super-2 number, since 2×31123111322 = 19372961164742242848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386169 + ... + 3387087.

It is an arithmetic number, because the mean of its divisors is an integer number (63627200).

Almost surely, 23112311132 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 3112311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581158400).

3112311132 is an abundant number, since it is smaller than the sum of its proper divisors (6050005668).

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

3112311132 is a wasteful number, since it uses less digits than its factorization.

3112311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1171 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 3112311132 is about 55788.0913098844. The cubic root of 3112311132 is about 1460.0273861129.

Adding to 3112311132 its reverse (2311132113), we get a palindrome (5423443245).

The spelling of 3112311132 in words is "three billion, one hundred twelve million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 151 178 252 267 302 356 453 534 604 623 801 906 919 1057 1068 1246 1359 1602 1812 1838 1869 2114 2492 2718 2757 3171 3204 3676 3738 4228 5436 5514 5607 6342 6433 7476 8271 9513 11028 11214 12684 12866 13439 16542 19026 19299 22428 25732 26878 33084 38052 38598 40317 53756 57897 77196 80634 81791 94073 115794 120951 138769 161268 163582 188146 231588 241902 245373 277538 282219 327164 376292 416307 483804 490746 555076 564438 572537 736119 832614 846657 971383 981492 1128876 1145074 1248921 1472238 1665228 1693314 1717611 1942766 2290148 2497842 2914149 2944476 3386628 3435222 3885532 4995684 5152833 5828298 6870444 8742447 10305666 11656596 12350441 17484894 20611332 24700882 34969788 37051323 49401764 74102646 86453087 111153969 148205292 172906174 222307938 259359261 345812348 444615876 518718522 778077783 1037437044 1556155566 3112311132