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21231111113212 = 22711137517060553
BaseRepresentation
bin1001101001111010000001…
…10101100000100111111100
32210011200012122012220210111
410310331000311200213330
510240322303421110322
6113053234321515404
74320616503563620
oct464750065404774
983150178186714
1021231111113212
116846077802a40
12246a8941a2b64
13bb0115205970
1453583c5c3180
1526c40aec9177
hex134f40d609fc

21231111113212 has 96 divisors (see below), whose sum is σ = 49952120408064. Its totient is φ = 7625396160000.

The previous prime is 21231111113189. The next prime is 21231111113257.

21231111113212 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 523273 + ... + 6537280.

It is an arithmetic number, because the mean of its divisors is an integer number (520334587584).

Almost surely, 221231111113212 is an apocalyptic number.

21231111113212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21231111113212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24976060204032).

21231111113212 is an abundant number, since it is smaller than the sum of its proper divisors (28721009294852).

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

21231111113212 is a wasteful number, since it uses less digits than its factorization.

21231111113212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7061339 (or 7061337 counting only the distinct ones).

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

It can be divided in two parts, 2123111 and 1113212, that added together give a palindrome (3236323).

The spelling of 21231111113212 in words is "twenty-one trillion, two hundred thirty-one billion, one hundred eleven million, one hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 751 1001 1502 2002 3004 4004 5257 8261 9763 10514 16522 19526 21028 33044 39052 57827 68341 107393 115654 136682 214786 231308 273364 429572 751751 1503502 3007004 7060553 14121106 28242212 49423871 77666083 91787189 98847742 155332166 183574378 197695484 310664332 367148756 543662581 642510323 1009659079 1087325162 1285020646 2019318158 2174650324 2570041292 4038636316 5302475303 7067613553 10604950606 14135227106 21209901212 28270454212 37117327121 58327228333 68932178939 74234654242 116654456666 137864357878 148469308484 233308913332 275728715756 408290598331 482525252573 758253968329 816581196662 965050505146 1516507936658 1633162393324 1930101010292 3033015873316 5307777778303 10615555556606 21231111113212