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221120010120210 = 23554157723612051
BaseRepresentation
bin110010010001101110000011…
…101001111110110000010010
31001222220212101200201202112020
4302101232003221332300102
5212440312240042321320
62102141044051312310
764401251661311025
oct6221560351766022
91058825350652466
10221120010120210
1164501519142903
1220972657bab696
13964c6b1b59ca6
143c863a0b071bc
151a86c8b490940
hexc91b83a7ec12

221120010120210 has 64 divisors (see below), whose sum is σ = 532590422569344. Its totient is φ = 58754336256000.

The previous prime is 221120010120197. The next prime is 221120010120271. The reversal of 221120010120210 is 12021010021122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221120010120210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2441316 + ... + 21170735.

It is an arithmetic number, because the mean of its divisors is an integer number (8321725352646).

Almost surely, 2221120010120210 is an apocalyptic number.

221120010120210 is an abundant number, since it is smaller than the sum of its proper divisors (311470412449134).

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

221120010120210 is a wasteful number, since it uses less digits than its factorization.

221120010120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23613179.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221120010120210 its reverse (12021010021122), we get a palindrome (233141020141332).

The spelling of 221120010120210 in words is "two hundred twenty-one trillion, one hundred twenty billion, ten million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 541 577 1082 1154 1623 1731 2705 2885 3246 3462 5410 5770 8115 8655 16230 17310 312157 624314 936471 1560785 1872942 3121570 4682355 9364710 23612051 47224102 70836153 118060255 141672306 236120510 354180765 708361530 12774119591 13624153427 25548239182 27248306854 38322358773 40872460281 63870597955 68120767135 76644717546 81744920562 127741195910 136241534270 191611793865 204362301405 383223587730 408724602810 7370667004007 14741334008014 22112001012021 36853335020035 44224002024042 73706670040070 110560005060105 221120010120210