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45345402102130 = 25132732811308029
BaseRepresentation
bin10100100111101110011001…
…00101011010000101110010
312221112222102001000220221221
422103313030211122011302
521420414340414232010
6240235220134335254
712360045223165114
oct1223671445320562
9187488361026857
1045345402102130
11134a2971375189
1251042ab4ba52a
131c3c08c797b00
14b2aa2cbc33b4
155398109b6dda
hex293dcc95a172

45345402102130 has 96 divisors (see below), whose sum is σ = 89912925311760. Its totient is φ = 16454782955520.

The previous prime is 45345402102059. The next prime is 45345402102191. The reversal of 45345402102130 is 3120120454354.

45345402102130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 19160658989521 + 26184743112609 = 4377289^2 + 5117103^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 34012956 + ... + 35320984.

Almost surely, 245345402102130 is an apocalyptic number.

45345402102130 is a deficient number, since it is larger than the sum of its proper divisors (44567523209630).

45345402102130 is a wasteful number, since it uses less digits than its factorization.

45345402102130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308416 (or 1308403 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 45345402102130 its reverse (3120120454354), we get a palindrome (48465522556484).

The spelling of 45345402102130 in words is "forty-five trillion, three hundred forty-five billion, four hundred two million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 65 73 130 146 169 281 338 365 562 730 845 949 1405 1690 1898 2810 3653 4745 7306 9490 12337 18265 20513 24674 36530 41026 47489 61685 94978 102565 123370 205130 237445 266669 474890 533338 1308029 1333345 2616058 2666690 3466697 6540145 6933394 13080290 17004377 17333485 34008754 34666970 85021885 95486117 170043770 190972234 221056901 367556149 442113802 477430585 735112298 954861170 1105284505 1241319521 1837780745 2210569010 2482639042 3675561490 4778229937 6206597605 9556459874 12413195210 16137153773 23891149685 26831598877 32274307546 47782299370 53663197754 62116989181 80685768865 124233978362 134157994385 161371537730 268315988770 310584945905 348810785401 621169891810 697621570802 1744053927005 3488107854010 4534540210213 9069080420426 22672701051065 45345402102130