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21131122113112 = 2311264139909091
BaseRepresentation
bin1001100110111111110010…
…00001101111101001011000
32202211010010020021102120111
410303133321001233221120
510232203014230104422
6112535300430334104
74310446622241034
oct463377101575130
982733106242514
1021131122113112
116807727600270
12245342a05a334
13ba386ba77c4b
14530a74bc71c4
15269a07c13a77
hex1337f906fa58

21131122113112 has 32 divisors (see below), whose sum is σ = 43222960958400. Its totient is φ = 9605008576800.

The previous prime is 21131122113071. The next prime is 21131122113173.

21131122113112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211311221131122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22789687 + ... + 23698777.

It is an arithmetic number, because the mean of its divisors is an integer number (1350717529950).

Almost surely, 221131122113112 is an apocalyptic number.

21131122113112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21131122113112 is an abundant number, since it is smaller than the sum of its proper divisors (22091838845288).

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

21131122113112 is a wasteful number, since it uses less digits than its factorization.

21131122113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173247 (or 1173243 counting only the distinct ones).

The product of its digits is 144, while the sum is 22.

Multiplying 21131122113112 by its sum of digits (22), we get a palindrome (464884686488464).

It can be divided in two parts, 2113112 and 2113112, that added together give a palindrome (4226224).

The spelling of 21131122113112 in words is "twenty-one trillion, one hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 264139 528278 909091 1056556 1818182 2113112 2905529 3636364 5811058 7272728 10000001 11622116 20000002 23244232 40000004 80000008 240126387649 480252775298 960505550596 1921011101192 2641390264139 5282780528278 10565561056556 21131122113112