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21231122113212 = 223111311227800261
BaseRepresentation
bin1001101001111010000010…
…11111011110001010111100
32210011200020101220202221220
410310331001133132022330
510240322314230110322
6113053235353353340
74320616666226604
oct464750137361274
983150211822856
1021231122113212
116846082a36450
12246a897a08850
13bb011758773b
1453583dc47c04
1526c40be4d55c
hex134f417de2bc

21231122113212 has 48 divisors (see below), whose sum is σ = 54455397220224. Its totient is φ = 6384561352000.

The previous prime is 21231122113181. The next prime is 21231122113213.

21231122113212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×212311221132122 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21231122113213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613882839 + ... + 613917422.

It is an arithmetic number, because the mean of its divisors is an integer number (1134487442088).

Almost surely, 221231122113212 is an apocalyptic number.

21231122113212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21231122113212 is an abundant number, since it is smaller than the sum of its proper divisors (33224275107012).

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

21231122113212 is a wasteful number, since it uses less digits than its factorization.

21231122113212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227800410 (or 1227800408 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 2123112 and 2113212, that added together give a palindrome (4236324).

The spelling of 21231122113212 in words is "twenty-one trillion, two hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2882 4323 5764 8646 17292 1227800261 2455600522 3683400783 4911201044 7366801566 13505802871 14733603132 27011605742 40517408613 54023211484 81034817226 160841834191 162069634452 321683668382 482525502573 643367336764 965051005146 1769260176101 1930102010292 3538520352202 5307780528303 7077040704404 10615561056606 21231122113212