Search a number
-
+
135324513012 = 223135418571871
BaseRepresentation
bin111111000000111111…
…0000011001011110100
3110221021222221112100110
41332001332003023310
54204121033404022
6142100041543020
712530316244623
oct1760176031364
9427258845313
10135324513012
1152433183607
1222287aa4a70
13c9b8034850
14679a6c16ba
1537c051c00c
hex1f81f832f4

135324513012 has 96 divisors (see below), whose sum is σ = 341254577664. Its totient is φ = 41490662400.

The previous prime is 135324512989. The next prime is 135324513043. The reversal of 135324513012 is 210315423531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72326437 + ... + 72328307.

It is an arithmetic number, because the mean of its divisors is an integer number (3554735184).

Almost surely, 2135324513012 is an apocalyptic number.

135324513012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135324513012 is an abundant number, since it is smaller than the sum of its proper divisors (205930064652).

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

135324513012 is a wasteful number, since it uses less digits than its factorization.

135324513012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 135324513012 its reverse (210315423531), we get a palindrome (345639936543).

The spelling of 135324513012 in words is "one hundred thirty-five billion, three hundred twenty-four million, five hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 541 857 1082 1623 1714 1871 2164 2571 3246 3428 3742 5142 5613 6492 7033 7484 10284 11141 11226 14066 21099 22282 22452 24323 28132 33423 42198 44564 48646 66846 72969 84396 97292 133692 145938 291876 463637 927274 1012211 1390911 1603447 1854548 2024422 2781822 3036633 3206894 4048844 4810341 5563644 6027281 6073266 6413788 9620682 12054562 12146532 13158743 18081843 19241364 20844811 24109124 26317486 36163686 39476229 41689622 52634972 62534433 72327372 78952458 83379244 125068866 157904916 250137732 867464827 1734929654 2602394481 3469859308 5204788962 10409577924 11277042751 22554085502 33831128253 45108171004 67662256506 135324513012