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13022135223435 = 325131571177912037
BaseRepresentation
bin1011110101111111001110…
…1111101000010010001011
31201002220101222211101102200
42331133303233220102023
53201323313104122220
643410141503131243
72512550436034452
oct275376357502213
951086358741380
1013022135223435
114170724935788
12156393a8a3b23
13735c9c834570
143303bbb25b99
15178b07ac6890
hexbd7f3be848b

13022135223435 has 96 divisors (see below), whose sum is σ = 24466922975040. Its totient is φ = 6368993639424.

The previous prime is 13022135223403. The next prime is 13022135223437. The reversal of 13022135223435 is 53432253122031.

13022135223435 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 213 + 5 + 2 + 2 + 3 + 435 = 666.

It is not a de Polignac number, because 13022135223435 - 25 = 13022135223403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13022135223435.

It is not an unprimeable number, because it can be changed into a prime (13022135223437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1081836237 + ... + 1081848273.

It is an arithmetic number, because the mean of its divisors is an integer number (254863780990).

Almost surely, 213022135223435 is an apocalyptic number.

13022135223435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13022135223435 is a deficient number, since it is larger than the sum of its proper divisors (11444787751605).

13022135223435 is a wasteful number, since it uses less digits than its factorization.

13022135223435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23997 (or 23994 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 13022135223435 its reverse (53432253122031), we get a palindrome (66454388345466).

The spelling of 13022135223435 in words is "thirteen trillion, twenty-two billion, one hundred thirty-five million, two hundred twenty-three thousand, four hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 157 195 471 585 785 1413 2041 2355 6123 7065 10205 11779 12037 18369 30615 35337 36111 58895 60185 91845 106011 108333 153127 156481 176685 180555 459381 469443 530055 541665 765635 782405 1378143 1408329 1849303 1889809 2296905 2347215 5547909 5669427 6890715 7041645 9246515 9449045 16643727 17008281 24040939 24567517 27739545 28347135 72122817 73702551 83218635 85041405 120204695 122837585 141783823 216368451 221107653 360614085 368512755 425351469 708919115 1081842255 1105538265 1276054407 1843189699 2126757345 5529569097 6380272035 9215948495 16588707291 22260060211 27647845485 66780180633 82943536455 111300301055 200340541899 289380782743 333900903165 868142348229 1001702709495 1446903913715 2604427044687 4340711741145 13022135223435