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20331424113 = 37111337414463
BaseRepresentation
bin10010111011110110…
…001110100101110001
31221110221011100122220
4102323312032211301
5313114321032423
613201244551253
71316555152650
oct227366164561
957427140586
1020331424113
118693616950
123b34b52529
131bc0258990
14dac319197
157dedd59e3
hex4bbd8e971

20331424113 has 128 divisors (see below), whose sum is σ = 38301548544. Its totient is φ = 9252403200.

The previous prime is 20331424093. The next prime is 20331424133. The reversal of 20331424113 is 31142413302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20331424093) and next prime (20331424133).

It is not a de Polignac number, because 20331424113 - 26 = 20331424049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20331424133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4553320 + ... + 4557782.

It is an arithmetic number, because the mean of its divisors is an integer number (299230848).

Almost surely, 220331424113 is an apocalyptic number.

It is an amenable number.

20331424113 is a deficient number, since it is larger than the sum of its proper divisors (17970124431).

20331424113 is a wasteful number, since it uses less digits than its factorization.

20331424113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20331424113 its reverse (31142413302), we get a palindrome (51473837415).

It can be divided in two parts, 20331 and 424113, that added together give a palindrome (444444).

The spelling of 20331424113 in words is "twenty billion, three hundred thirty-one million, four hundred twenty-four thousand, one hundred thirteen".

Divisors: 1 3 7 11 13 21 33 37 39 41 77 91 111 123 143 231 259 273 287 407 429 451 481 533 777 861 1001 1221 1353 1443 1517 1599 2849 3003 3157 3367 3731 4463 4551 5291 5863 8547 9471 10101 10619 11193 13389 15873 16687 17589 19721 31241 31857 37037 41041 49093 50061 58019 59163 93723 111111 116809 123123 138047 147279 165131 174057 182983 216931 343651 350427 406133 414141 495393 548949 638209 650793 1030953 1155917 1218399 1280881 1518517 1816441 1914627 2012813 2146703 2378779 3467751 3842643 4467463 4555551 5449323 6038439 6440109 6770371 7136337 12715087 13402389 14089691 15026921 16651453 20311113 23613733 26166569 38145261 42269073 45080763 47392597 49954359 70841199 74474081 78499707 88014823 142177791 165296131 183165983 223422243 264044469 495888393 521318567 549497949 616103761 968163053 1563955701 1848311283 2904489159 6777141371 20331424113