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20154144013 = 237932033463
BaseRepresentation
bin10010110001010001…
…111101010100001101
31221000120120121002021
4102301101331110031
5312233430102023
613131513130141
71312303253233
oct226121752415
957016517067
1020154144013
118602541773
123aa56b9951
131b925c7b03
14d9296c953
157ce56835d
hex4b147d50d

20154144013 has 16 divisors (see below), whose sum is σ = 21309419520. Its totient is φ = 19022415984.

The previous prime is 20154144001. The next prime is 20154144029. The reversal of 20154144013 is 31044145102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20154144013 is a prime.

It is a super-3 number, since 3×201541440133 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20154144083) 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 15 ways as a sum of consecutive naturals, for example, 5818120 + ... + 5821582.

It is an arithmetic number, because the mean of its divisors is an integer number (1331838720).

Almost surely, 220154144013 is an apocalyptic number.

20154144013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20154144013 is a deficient number, since it is larger than the sum of its proper divisors (1155275507).

20154144013 is a wasteful number, since it uses less digits than its factorization.

20154144013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 20154144013 its reverse (31044145102), we get a palindrome (51198289115).

The spelling of 20154144013 in words is "twenty billion, one hundred fifty-four million, one hundred forty-four thousand, thirteen".

Divisors: 1 23 79 1817 3203 3463 73669 79649 253037 273577 5819851 6292271 11091989 255115747 876267131 20154144013