Search a number
-
+
111002212202000 = 2453712176514979
BaseRepresentation
bin11001001111010010110111…
…011011010111011000010000
3112120000201010000121201020112
4121033102313123113120100
5104022130012310431000
61032025413505300452
732244434203625240
oct3117226733273020
9476021100551215
10111002212202000
1132406856a6a1a9
1210548b80334728
1349c2604981562
141d5a7700bdb20
15cc76502a6235
hex64f4b76d7610

111002212202000 has 160 divisors (see below), whose sum is σ = 306998783320320. Its totient is φ = 38026623590400.

The previous prime is 111002212201999. The next prime is 111002212202009. The reversal of 111002212202000 is 202212200111.

It is a super-2 number, since 2×1110022122020002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (111002212202009) 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, 13780511 + ... + 20295489.

It is an arithmetic number, because the mean of its divisors is an integer number (1918742395752).

Almost surely, 2111002212202000 is an apocalyptic number.

111002212202000 is a gapful number since it is divisible by the number (10) 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 111002212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153499391660160).

111002212202000 is an abundant number, since it is smaller than the sum of its proper divisors (195996571118320).

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

111002212202000 is a wasteful number, since it uses less digits than its factorization.

111002212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6516226 (or 6516210 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 111002212202000 its reverse (202212200111), we get a palindrome (111204424402111).

The spelling of 111002212202000 in words is "one hundred eleven trillion, two billion, two hundred twelve million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1217 1400 1750 2000 2434 2800 3500 4868 6085 7000 8519 9736 12170 14000 17038 19472 24340 30425 34076 42595 48680 60850 68152 85190 97360 121700 136304 152125 170380 212975 243400 304250 340760 425950 486800 608500 681520 851900 1064875 1217000 1703800 2129750 2434000 3407600 4259500 6514979 8519000 13029958 17038000 26059916 32574895 45604853 52119832 65149790 91209706 104239664 130299580 162874475 182419412 228024265 260599160 325748950 364838824 456048530 521198320 651497900 729677648 814372375 912097060 1140121325 1302995800 1628744750 1824194120 2280242650 2605991600 3257489500 3648388240 4560485300 5700606625 6514979000 7928729443 9120970600 11401213250 13029958000 15857458886 18241941200 22802426500 31714917772 39643647215 45604853000 55501106101 63429835544 79287294430 91209706000 111002212202 126859671088 158574588860 198218236075 222004424404 277505530505 317149177720 396436472150 444008848808 555011061010 634298355440 792872944300 888017697616 991091180375 1110022122020 1387527652525 1585745888600 1982182360750 2220044244040 2775055305050 3171491777200 3964364721500 4440088488080 5550110610100 6937638262625 7928729443000 11100221220200 13875276525250 15857458886000 22200442440400 27750553050500 55501106101000 111002212202000