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10011110202212 = 2272961773261467
BaseRepresentation
bin1001000110101110010010…
…1010101101101101100100
31022110001102111001000002012
42101223210222231231210
52303010223202432322
633143012431133352
72052164433453350
oct221534452555544
938401374030065
1010011110202212
11320a7627a1419
121158278674258
13578074b59282
1426877c8c8460
1512562a4eeae2
hex91ae4aadb64

10011110202212 has 96 divisors (see below), whose sum is σ = 21079508325120. Its totient is φ = 4069331320320.

The previous prime is 10011110202199. The next prime is 10011110202229. The reversal of 10011110202212 is 21220201111001.

10011110202212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38157503 + ... + 38418969.

It is an arithmetic number, because the mean of its divisors is an integer number (219578211720).

Almost surely, 210011110202212 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 10011110202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10539754162560).

10011110202212 is an abundant number, since it is smaller than the sum of its proper divisors (11068398122908).

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

10011110202212 is a wasteful number, since it uses less digits than its factorization.

10011110202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262341 (or 262339 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10011110202212 its reverse (21220201111001), we get a palindrome (31231311313213).

The spelling of 10011110202212 in words is "ten trillion, eleven billion, one hundred ten million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 29 58 61 116 122 203 244 406 427 773 812 854 1546 1708 1769 3092 3538 5411 7076 10822 12383 21644 22417 24766 44834 47153 49532 89668 94306 156919 188612 261467 313838 330071 522934 627676 660142 1045868 1320284 1367437 1830269 2734874 3660538 5469748 7321076 7582543 9572059 15165086 15949487 19144118 30330172 31898974 38288236 53077801 63797948 106155602 111646409 202113991 212311204 223292818 404227982 446585636 462535123 808455964 925070246 1414797937 1850140492 2829595874 3237745861 5659191748 5861305739 6475491722 11722611478 12328953451 12950983444 23445222956 24657906902 41029140173 49315813804 82058280346 86302674157 164116560692 172605348314 345210696628 357539650079 715079300158 1430158600316 2502777550553 5005555101106 10011110202212