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205045130025345 = 35177439689111697
BaseRepresentation
bin101110100111110011001010…
…001000110101100110000001
3222220000010022122212000021210
4232213303022020311212001
5203333424411241302340
62004032233215040333
761122010320052611
oct5647631210654601
9886003278760253
10205045130025345
115a374173424915
121abb71532100a9
138a5489918b44c
14388c347004a41
1518a8a63835180
hexba7cca235981

205045130025345 has 64 divisors (see below), whose sum is σ = 347877112296960. Its totient is φ = 102774559899648.

The previous prime is 205045130025341. The next prime is 205045130025349. The reversal of 205045130025345 is 543520031540502.

It is an interprime number because it is at equal distance from previous prime (205045130025341) and next prime (205045130025349).

It is not a de Polignac number, because 205045130025345 - 22 = 205045130025341 is a prime.

It is a super-2 number, since 2×2050451300253452 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205045130025341) 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, 1835670537 + ... + 1835782233.

It is an arithmetic number, because the mean of its divisors is an integer number (5435579879640).

Almost surely, 2205045130025345 is an apocalyptic number.

It is an amenable number.

205045130025345 is a deficient number, since it is larger than the sum of its proper divisors (142831982271615).

205045130025345 is a wasteful number, since it uses less digits than its factorization.

205045130025345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122154.

The product of its (nonzero) digits is 360000, while the sum is 39.

Adding to 205045130025345 its reverse (543520031540502), we get a palindrome (748565161565847).

The spelling of 205045130025345 in words is "two hundred five trillion, forty-five billion, one hundred thirty million, twenty-five thousand, three hundred forty-five".

Divisors: 1 3 5 15 17 51 85 255 743 2229 3715 9689 11145 12631 29067 37893 48445 63155 111697 145335 164713 189465 335091 494139 558485 823565 1675455 1898849 2470695 5696547 7198927 9494245 21596781 28482735 35994635 82990871 107983905 122381759 248972613 367145277 414954355 611908795 1082232233 1244863065 1410844807 1835726385 3246696699 4232534421 5411161165 7054224035 16233483495 18397947961 21162672105 55193843883 91989739805 275969219415 804098549119 2412295647357 4020492745595 12061478236785 13669675335023 41009026005069 68348376675115 205045130025345