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21123040131 = 3253109406267
BaseRepresentation
bin10011101011000010…
…000000001110000011
32000112002201121200200
4103223002000032003
5321224444241011
613412004020243
71345306610244
oct235302001603
960462647620
1021123040131
118a5a450766
124116091683
131cb826471b
141045500ccb
15839653856
hex4eb080383

21123040131 has 24 divisors (see below), whose sum is σ = 31372014960. Its totient is φ = 13689539136.

The previous prime is 21123040123. The next prime is 21123040139. The reversal of 21123040131 is 13104032112.

21123040131 is a `hidden beast` number, since 2 + 1 + 1 + 230 + 401 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (21123040123) and next prime (21123040139).

It is not a de Polignac number, because 21123040131 - 23 = 21123040123 is a prime.

It is a super-2 number, since 2×211230401312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21123040139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151141 + ... + 255126.

It is an arithmetic number, because the mean of its divisors is an integer number (1307167290).

Almost surely, 221123040131 is an apocalyptic number.

21123040131 is a deficient number, since it is larger than the sum of its proper divisors (10248974829).

21123040131 is a wasteful number, since it uses less digits than its factorization.

21123040131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406435 (or 406432 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21123040131 its reverse (13104032112), we get a palindrome (34227072243).

The spelling of 21123040131 in words is "twenty-one billion, one hundred twenty-three million, forty thousand, one hundred thirty-one".

Divisors: 1 3 9 53 109 159 327 477 981 5777 17331 51993 406267 1218801 3656403 21532151 44283103 64596453 132849309 193789359 398547927 2347004459 7041013377 21123040131