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3110320310112 = 2532281260914731
BaseRepresentation
bin101101010000101101100…
…010011000011101100000
3102000100021120101200200200
4231100231202120131200
5401424413444410422
610340510022345200
7440466431264211
oct55205542303540
912010246350620
103110320310112
11a9a096802594
12422973b8b200
131973c04b9202
14aa77c859408
1555d8ea0d2ac
hex2d42d898760

3110320310112 has 144 divisors (see below), whose sum is σ = 8880455198160. Its totient is φ = 1032617779200.

The previous prime is 3110320310093. The next prime is 3110320310117. The reversal of 3110320310112 is 2110130230113.

3110320310112 is a `hidden beast` number, since 31 + 1 + 0 + 320 + 310 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3110320310117) 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, 211133787 + ... + 211148517.

It is an arithmetic number, because the mean of its divisors is an integer number (61669827765).

Almost surely, 23110320310112 is an apocalyptic number.

3110320310112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3110320310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440227599080).

3110320310112 is an abundant number, since it is smaller than the sum of its proper divisors (5770134888048).

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

3110320310112 is a wasteful number, since it uses less digits than its factorization.

3110320310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17637 (or 17626 counting only the distinct ones).

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

Adding to 3110320310112 its reverse (2110130230113), we get a palindrome (5220450540225).

The spelling of 3110320310112 in words is "three trillion, one hundred ten billion, three hundred twenty million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 281 288 562 843 1124 1686 2248 2529 2609 3372 4496 5058 5218 6744 7827 8992 10116 10436 13488 14731 15654 20232 20872 23481 26976 29462 31308 40464 41744 44193 46962 58924 62616 80928 83488 88386 93924 117848 125232 132579 176772 187848 235696 250464 265158 353544 375696 471392 530316 707088 733129 751392 1060632 1414176 1466258 2121264 2199387 2932516 4139411 4242528 4398774 5865032 6598161 8278822 8797548 11730064 12418233 13196322 16557644 17595096 23460128 24836466 26392644 33115288 35190192 37254699 38433179 49672932 52785288 66230576 70380384 74509398 76866358 99345864 105570576 115299537 132461152 149018796 153732716 198691728 211141152 230599074 298037592 307465432 345898611 397383456 461198148 596075184 614930864 691797222 922396296 1192150368 1229861728 1383594444 1844792592 2767188888 3689585184 5534377776 10799723299 11068755552 21599446598 32399169897 43198893196 64798339794 86397786392 97197509691 129596679588 172795572784 194395019382 259193359176 345591145568 388790038764 518386718352 777580077528 1036773436704 1555160155056 3110320310112