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213013222120 = 235231097211063
BaseRepresentation
bin1100011001100010010…
…0111101001011101000
3202100211020221212022001
43012120210331023220
511442222341101440
6241505032340344
721250444341046
oct3063044751350
9670736855261
10213013222120
118237a457626
12353498446b4
13171193701ca
14a44a4cd396
15581ab38b9a
hex319893d2e8

213013222120 has 64 divisors (see below), whose sum is σ = 500576267520. Its totient is φ = 81426031104.

The previous prime is 213013222063. The next prime is 213013222159. The reversal of 213013222120 is 21222310312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903709 + ... + 1114771.

It is an arithmetic number, because the mean of its divisors is an integer number (7821504180).

Almost surely, 2213013222120 is an apocalyptic number.

213013222120 is a gapful number since it is divisible by the number (20) 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 213013222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250288133760).

213013222120 is an abundant number, since it is smaller than the sum of its proper divisors (287563045400).

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

213013222120 is a wasteful number, since it uses less digits than its factorization.

213013222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212194 (or 212190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213013222120 its reverse (21222310312), we get a palindrome (234235532432).

The spelling of 213013222120 in words is "two hundred thirteen billion, thirteen million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1097 2194 4388 5485 8776 10970 21940 25231 43880 50462 100924 126155 201848 211063 252310 422126 504620 844252 1009240 1055315 1688504 2110630 4221260 4854449 8442520 9708898 19417796 24272245 38835592 48544490 97088980 194177960 231536111 463072222 926144444 1157680555 1852288888 2315361110 4630722220 5325330553 9261444440 10650661106 21301322212 26626652765 42602644424 53253305530 106506611060 213013222120