Search a number
-
+
11211112220021 = 7173182716212267
BaseRepresentation
bin1010001100100100101001…
…0111001000010101110101
31110200202211200112121222022
42203021022113020111311
52432140324212020041
635502151443042525
72234655545352260
oct243111227102565
943622750477868
1011211112220021
11363267363651a
121310956970445
1363428499c53c
142aa8993b9cd7
1514696048824b
hexa324a5c8575

11211112220021 has 64 divisors (see below), whose sum is σ = 14035785007104. Its totient is φ = 8732678169600.

The previous prime is 11211112219961. The next prime is 11211112220039. The reversal of 11211112220021 is 12002221111211.

It is a de Polignac number, because none of the positive numbers 2k-11211112220021 is a prime.

It is a super-2 number, since 2×112111122200212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211112220041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4945350530 + ... + 4945352796.

It is an arithmetic number, because the mean of its divisors is an integer number (219309140736).

Almost surely, 211211112220021 is an apocalyptic number.

It is an amenable number.

11211112220021 is a deficient number, since it is larger than the sum of its proper divisors (2824672787083).

11211112220021 is a wasteful number, since it uses less digits than its factorization.

11211112220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11211112220021 its reverse (12002221111211), we get a palindrome (23213333331232).

The spelling of 11211112220021 in words is "eleven trillion, two hundred eleven billion, one hundred twelve million, two hundred twenty thousand, twenty-one".

Divisors: 1 7 17 31 119 217 527 827 1621 2267 3689 5789 11347 14059 15869 25637 27557 38539 50251 70277 98413 179459 192899 269773 351757 435829 491939 854267 1194709 1340567 1874809 3050803 3674807 5979869 8362963 9383969 13123663 22789639 25723649 31871753 41557577 58119079 62471719 113919017 159527473 223102271 290903039 406833553 437302033 706478809 797433119 988024343 1936623289 3039065389 4945351663 6916170401 13556363023 21273457723 51664111613 94211027059 361648781291 659477189413 1601587460003 11211112220021