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21124530013140 = 22325117358500073
BaseRepresentation
bin1001100110110011100000…
…00110111000001111010100
32202210111002211002001102200
410303121300012320033110
510232101014140410030
6112532250343004500
74310124355305501
oct463316006701724
982714084061380
1021124530013140
116804954527a64
1224520aa439730
13ba305b11b388
1453060b4ca4a8
1526976e11dd60
hex1336701b83d4

21124530013140 has 36 divisors (see below), whose sum is σ = 64077741040404. Its totient is φ = 5633208003456.

The previous prime is 21124530013117. The next prime is 21124530013141. The reversal of 21124530013140 is 4131003542112.

21124530013140 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 45 + 300 + 1 + 314 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13345183447236 + 7779346565904 = 3653106^2 + 2789148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21124530013141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58679249857 + ... + 58679250216.

Almost surely, 221124530013140 is an apocalyptic number.

21124530013140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21124530013140 is an abundant number, since it is smaller than the sum of its proper divisors (42953211027264).

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

21124530013140 is a wasteful number, since it uses less digits than its factorization.

21124530013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117358500088 (or 117358500083 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 21124530013140 its reverse (4131003542112), we get a palindrome (25255533555252).

The spelling of 21124530013140 in words is "twenty-one trillion, one hundred twenty-four billion, five hundred thirty million, thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 117358500073 234717000146 352075500219 469434000292 586792500365 704151000438 1056226500657 1173585000730 1408302000876 1760377501095 2112453001314 2347170001460 3520755002190 4224906002628 5281132503285 7041510004380 10562265006570 21124530013140