Search a number
-
+
220212212200100 = 225223661144847867
BaseRepresentation
bin110010000100100000100110…
…101011101111001010100100
31001212201002012200210021212222
4302010200212223233022210
5212330424102310400400
62100204032123331512
764245543622306361
oct6204404653571244
91055632180707788
10220212212200100
116419152495923a
1220846728380b98
1395b4bcb992993
143c54483c1b468
151a6d359584185
hexc84826aef2a4

220212212200100 has 72 divisors (see below), whose sum is σ = 499391415112128. Its totient is φ = 84127640572800.

The previous prime is 220212212200091. The next prime is 220212212200109. The reversal of 220212212200100 is 1002212212022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220212212200091) and next prime (220212212200109).

It is not an unprimeable number, because it can be changed into a prime (220212212200109) 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, 70903634 + ... + 73944233.

Almost surely, 2220212212200100 is an apocalyptic number.

220212212200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212212200100 is an abundant number, since it is smaller than the sum of its proper divisors (279179202912028).

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

220212212200100 is a wasteful number, since it uses less digits than its factorization.

220212212200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144848565 (or 144848558 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 220212212200100 its reverse (1002212212022), we get a palindrome (221214424412122).

The spelling of 220212212200100 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 661 1150 1322 2300 2644 3305 6610 13220 15203 16525 30406 33050 60812 66100 76015 152030 304060 380075 760150 1520300 144847867 289695734 579391468 724239335 1448478670 2896957340 3331500941 3621196675 6663001882 7242393350 13326003764 14484786700 16657504705 33315009410 66630018820 83287523525 95744440087 166575047050 191488880174 333150094100 382977760348 478722200435 957444400870 1914888801740 2202122122001 2393611002175 4404244244002 4787222004350 8808488488004 9574444008700 11010610610005 22021221220010 44042442440020 55053053050025 110106106100050 220212212200100