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3100012220100 = 22352191699320107
BaseRepresentation
bin101101000111000111001…
…000001000111011000100
3101222100200011220110112010
4231013013020020323010
5401242311112020400
610332043112254220
7436653123046515
oct55070710107304
911870604813463
103100012220100
11a95787098a34
124209779a1370
13196439a2a873
14aa081818a0c
1555989a94450
hex2d1c7208ec4

3100012220100 has 144 divisors (see below), whose sum is σ = 9447027296000. Its totient is φ = 782697582720.

The previous prime is 3100012220087. The next prime is 3100012220147. The reversal of 3100012220100 is 10222100013.

It is a super-2 number, since 2×31000122201002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 9524247 + ... + 9844353.

Almost surely, 23100012220100 is an apocalyptic number.

3100012220100 is a gapful number since it is divisible by the number (30) 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 3100012220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723513648000).

3100012220100 is an abundant number, since it is smaller than the sum of its proper divisors (6347015075900).

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

3100012220100 is a wasteful number, since it uses less digits than its factorization.

3100012220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321842 (or 321835 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 3100012220100 its reverse (10222100013), we get a palindrome (3110234320113).

The spelling of 3100012220100 in words is "three trillion, one hundred billion, twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1699 1900 2850 3398 5097 5700 6796 8495 10194 16990 20388 25485 32281 33980 42475 50970 64562 84950 96843 101940 127425 129124 161405 169900 193686 254850 320107 322810 387372 484215 509700 640214 645620 807025 960321 968430 1280428 1600535 1614050 1920642 1936860 2421075 3201070 3228100 3841284 4801605 4842150 6082033 6402140 8002675 9603210 9684300 12164066 16005350 18246099 19206420 24008025 24328132 30410165 32010700 36492198 48016050 60820330 72984396 91230495 96032100 121640660 152050825 182460990 304101650 364921980 456152475 543861793 608203300 912304950 1087723586 1631585379 1824609900 2175447172 2719308965 3263170758 5438617930 6526341516 8157926895 10333374067 10877235860 13596544825 16315853790 20666748134 27193089650 31000122201 32631707580 40789634475 41333496268 51666870335 54386179300 62000244402 81579268950 103333740670 124000488804 155000611005 163158537900 206667481340 258334351675 310001222010 516668703350 620002444020 775003055025 1033337406700 1550006110050 3100012220100