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3100422221312 = 29132361332009
BaseRepresentation
bin101101000111011111100…
…100001010111000000000
3101222101201202101200110012
4231013133210022320000
5401244131042040222
610332151520124052
7436666232024363
oct55073744127000
911871652350405
103100422221312
11a95977574a09
12420a71166628
131964a3961430
14aa0c00640da
15559b0a811e2
hex2d1df90ae00

3100422221312 has 160 divisors (see below), whose sum is σ = 7075510263360. Its totient is φ = 1346305720320.

The previous prime is 3100422221287. The next prime is 3100422221329. The reversal of 3100422221312 is 2131222240013.

It is a super-2 number, since 2×31004222213122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9172364 + ... + 9504372.

It is an arithmetic number, because the mean of its divisors is an integer number (44221939146).

Almost surely, 23100422221312 is an apocalyptic number.

3100422221312 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 3100422221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537755131680).

3100422221312 is an abundant number, since it is smaller than the sum of its proper divisors (3975088042048).

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

3100422221312 is a wasteful number, since it uses less digits than its factorization.

3100422221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332124 (or 332108 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 3100422221312 its reverse (2131222240013), we get a palindrome (5231644461325).

The spelling of 3100422221312 in words is "three trillion, one hundred billion, four hundred twenty-two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 61 64 92 104 122 128 184 208 244 256 299 368 416 488 512 598 736 793 832 976 1196 1403 1472 1586 1664 1952 2392 2806 2944 3172 3328 3904 4784 5612 5888 6344 6656 7808 9568 11224 11776 12688 15616 18239 19136 22448 25376 31232 36478 38272 44896 50752 72956 76544 89792 101504 145912 153088 179584 203008 291824 332009 359168 406016 583648 664018 718336 1167296 1328036 2334592 2656072 4316117 4669184 5312144 7636207 8632234 9338368 10624288 15272414 17264468 20252549 21248576 30544828 34528936 40505098 42497152 61089656 69057872 81010196 84994304 99270691 122179312 138115744 162020392 169988608 198541382 244358624 263283137 276231488 324040784 397082764 465808627 488717248 526566274 552462976 648081568 794165528 931617254 977434496 1053132548 1104925952 1296163136 1588331056 1863234508 1954868992 2106265096 2209851904 2592326272 3176662112 3726469016 3909737984 4212530192 5184652544 6055512151 6353324224 7452938032 8425060384 10369305088 12111024302 12706648448 14905876064 16850120768 24222048604 25413296896 29811752128 33700241536 48444097208 50826593792 59623504256 67400483072 96888194416 119247008512 134800966144 193776388832 238494017024 387552777664 775105555328 1550211110656 3100422221312