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20131144515 = 3358910316267
BaseRepresentation
bin10010101111111010…
…001110001101000011
31220221222022002201000
4102233322032031003
5312212033111030
613125332143043
71311603622266
oct225772161503
956858262630
1020131144515
1185a0562919
123a99a67a83
131b8a904341
14d8d8a2cdd
157cc523860
hex4afe8e343

20131144515 has 64 divisors (see below), whose sum is σ = 36544435200. Its totient is φ = 10512260352.

The previous prime is 20131144511. The next prime is 20131144559. The reversal of 20131144515 is 51544113102.

20131144515 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 1 + 144 + 515 = 666.

It is not a de Polignac number, because 20131144515 - 22 = 20131144511 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20131144511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1229412 + ... + 1245678.

It is an arithmetic number, because the mean of its divisors is an integer number (571006800).

Almost surely, 220131144515 is an apocalyptic number.

20131144515 is a deficient number, since it is larger than the sum of its proper divisors (16413290685).

20131144515 is a wasteful number, since it uses less digits than its factorization.

20131144515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16473 (or 16467 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 20131144515 its reverse (51544113102), we get a palindrome (71675257617).

The spelling of 20131144515 in words is "twenty billion, one hundred thirty-one million, one hundred forty-four thousand, five hundred fifteen".

Divisors: 1 3 5 9 15 27 45 89 103 135 267 309 445 515 801 927 1335 1545 2403 2781 4005 4635 9167 12015 13905 16267 27501 45835 48801 81335 82503 137505 146403 244005 247509 412515 439209 732015 1237545 1447763 1675501 2196045 4343289 5026503 7238815 8377505 13029867 15079509 21716445 25132515 39089601 45238527 65149335 75397545 149119589 195448005 226192635 447358767 745597945 1342076301 2236793835 4026228903 6710381505 20131144515