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135322223530 = 25132927971553
BaseRepresentation
bin111111000000111010…
…1010100001110101010
3110221021211122012202211
41332001311110032222
54204114442123110
6142055520515334
712530260631014
oct1760165241652
9427254565684
10135322223530
115243195a47a
122228717bb4a
13c9b7712720
14679a2871b4
1537c021898a
hex1f81d543aa

135322223530 has 96 divisors (see below), whose sum is σ = 272190273264. Its totient is φ = 48150638592.

The previous prime is 135322223507. The next prime is 135322223573. The reversal of 135322223530 is 35322223531.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 28845965281 + 106476258249 = 169841^2 + 326307^2 .

It is a super-2 number, since 2×1353222235302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135322223492 and 135322223501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87135234 + ... + 87136786.

Almost surely, 2135322223530 is an apocalyptic number.

135322223530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135322223530 is an abundant number, since it is smaller than the sum of its proper divisors (136868049734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135322223530 is a wasteful number, since it uses less digits than its factorization.

135322223530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 31.

Subtracting from 135322223530 its reverse (35322223531), we obtain a palindrome (99999999999).

The spelling of 135322223530 in words is "one hundred thirty-five billion, three hundred twenty-two million, two hundred twenty-three thousand, five hundred thirty".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 754 797 841 1553 1594 1682 1885 3106 3770 3985 4205 7765 7970 8410 10361 10933 15530 20189 20722 21866 23113 40378 45037 46226 51805 54665 90074 100945 103610 109330 115565 201890 225185 231130 300469 450370 585481 600938 670277 1170962 1237741 1306073 1340554 1502345 2475482 2612146 2927405 3004690 3351385 5854810 6188705 6530365 6702770 8713601 12377410 13060730 16090633 16978949 17427202 32181266 33957898 35894489 43568005 71788978 80453165 84894745 87136010 160906330 169789490 179472445 358944890 466628357 933256714 1040940181 2081880362 2333141785 4666283570 5204700905 10409401810 13532222353 27064444706 67661111765 135322223530