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21113145233424 = 2432146619064121
BaseRepresentation
bin1001100110011110010011…
…00001011001000000010000
32202202101201101121022122200
410303033021201121000100
510231404210134432144
6112523124531403200
74306242264262056
oct463171141310020
982671641538580
1021113145233424
11680004207a502
12244ba51753500
13ba1c6558112a
1452dc4b4981d6
152693048c5c69
hex1333c9859010

21113145233424 has 30 divisors (see below), whose sum is σ = 59087482841166. Its totient is φ = 7037715077760.

The previous prime is 21113145233419. The next prime is 21113145233429. The reversal of 21113145233424 is 42433254131112.

21113145233424 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 314 + 5 + 2 + 334 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21113145233419) and next prime (21113145233429).

It can be written as a sum of positive squares in only one way, i.e., 17402513543424 + 3710631690000 = 4171632^2 + 1926300^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21113145233429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73309531917 + ... + 73309532204.

Almost surely, 221113145233424 is an apocalyptic number.

21113145233424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21113145233424 is an abundant number, since it is smaller than the sum of its proper divisors (37974337607742).

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

21113145233424 is a wasteful number, since it uses less digits than its factorization.

21113145233424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146619064135 (or 146619064126 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 21113145233424 its reverse (42433254131112), we get a palindrome (63546399364536).

The spelling of 21113145233424 in words is "twenty-one trillion, one hundred thirteen billion, one hundred forty-five million, two hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 146619064121 293238128242 439857192363 586476256484 879714384726 1172952512968 1319571577089 1759428769452 2345905025936 2639143154178 3518857538904 5278286308356 7037715077808 10556572616712 21113145233424