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72102210201112 = 23713220893646997
BaseRepresentation
bin10000011001001110011010…
…101000000110011000011000
3100110021220101222222210221211
4100121032122220012120120
533422310311302413422
6413203144215512504
721121132661353450
oct2031163250063030
9313256358883854
1072102210201112
1120a79414a598a3
128105a84388734
133130294941400
1413b3aa0b0ad60
15850825c92577
hex41939aa06618

72102210201112 has 96 divisors (see below), whose sum is σ = 167384079007200. Its totient is φ = 28510289114112.

The previous prime is 72102210201079. The next prime is 72102210201143. The reversal of 72102210201112 is 21110201220127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17946798 + ... + 21593794.

It is an arithmetic number, because the mean of its divisors is an integer number (1743584156325).

Almost surely, 272102210201112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72102210201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83692039503600).

72102210201112 is an abundant number, since it is smaller than the sum of its proper divisors (95281868806088).

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

72102210201112 is a wasteful number, since it uses less digits than its factorization.

72102210201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649125 (or 3649108 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 72102210201112 its reverse (21110201220127), we get a palindrome (93212411421239).

The spelling of 72102210201112 in words is "seventy-two trillion, one hundred two billion, two hundred ten million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2089 2366 4178 4732 8356 9464 14623 16712 27157 29246 54314 58492 108628 116984 190099 217256 353041 380198 706082 760396 1412164 1520792 2471287 2824328 3646997 4942574 7293994 9885148 14587988 19770296 25528979 29175976 47410961 51057958 94821922 102115916 189643844 204231832 331876727 379287688 616342493 663753454 1232684986 1327506908 2465369972 2655013816 4314397451 4930739944 7618576733 8628794902 15237153466 17257589804 30474306932 34515179608 53330037131 60948613864 99041497529 106660074262 198082995058 213320148524 396165990116 426640297048 693290482703 792331980232 1287539467877 1386580965406 2575078935754 2773161930812 5150157871508 5546323861624 9012776275139 10300315743016 18025552550278 36051105100556 72102210201112