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20345032403133 = 317331113394049
BaseRepresentation
bin1001010000000111100100…
…11011011110100010111101
32200000222002021210122012120
410220003302123132202331
510131313111243400013
6111134213455553153
74166610604040304
oct450036233364275
980028067718176
1020345032403133
116534309441329
12234700622b7b9
13b476b395a519
145049c206543b
1525434ac34123
hex1280f26de8bd

20345032403133 has 64 divisors (see below), whose sum is σ = 30014883072000. Its totient is φ = 12244363837440.

The previous prime is 20345032403089. The next prime is 20345032403231. The reversal of 20345032403133 is 33130423054302.

It is not a de Polignac number, because 20345032403133 - 210 = 20345032402109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20345032403094 and 20345032403103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20345032404133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51433693 + ... + 51827741.

It is an arithmetic number, because the mean of its divisors is an integer number (468982548000).

Almost surely, 220345032403133 is an apocalyptic number.

It is an amenable number.

20345032403133 is a deficient number, since it is larger than the sum of its proper divisors (9669850668867).

20345032403133 is a wasteful number, since it uses less digits than its factorization.

20345032403133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394247 (or 394213 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 33.

Adding to 20345032403133 its reverse (33130423054302), we get a palindrome (53475455457435).

The spelling of 20345032403133 in words is "twenty trillion, three hundred forty-five billion, thirty-two million, four hundred three thousand, one hundred thirty-three".

Divisors: 1 3 17 31 51 93 113 289 339 527 867 1581 1921 3503 4913 5763 8959 10509 14739 26877 32657 59551 97971 152303 178653 394049 456909 555169 1012367 1182147 1665507 3037101 6698833 12215519 17210239 20096499 36646557 44527537 51630717 113880161 133582611 207663823 341640483 622991469 756968129 1380353647 1935962737 2270904387 3530284991 4141060941 5807888211 10590854973 12868458193 23466011999 38605374579 60014844847 70398035997 180044534541 218763789281 398922203983 656291367843 1196766611949 6781677467711 20345032403133