Search a number
-
+
13531204332 = 22331712758031
BaseRepresentation
bin11001001101000010…
…11100101011101100
31021221000100101211000
430212201130223230
5210202442014312
610114404400300
7656213224212
oct144641345354
937830311730
1013531204332
1158140150a8
1227576a6090
131378460ca9
14925124cb2
15542dd0adc
hex32685caec

13531204332 has 96 divisors (see below), whose sum is σ = 37437603840. Its totient is φ = 4211585280.

The previous prime is 13531204327. The next prime is 13531204333. The reversal of 13531204332 is 23340213531.

13531204332 is a `hidden beast` number, since 13 + 5 + 312 + 0 + 4 + 332 = 666.

13531204332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13531204296 and 13531204305.

It is not an unprimeable number, because it can be changed into a prime (13531204333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204157 + ... + 262187.

It is an arithmetic number, because the mean of its divisors is an integer number (389975040).

Almost surely, 213531204332 is an apocalyptic number.

13531204332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531204332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18718801920).

13531204332 is an abundant number, since it is smaller than the sum of its proper divisors (23906399508).

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

13531204332 is a wasteful number, since it uses less digits than its factorization.

13531204332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58188 (or 58180 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13531204332 its reverse (23340213531), we get a palindrome (36871417863).

The spelling of 13531204332 in words is "thirteen billion, five hundred thirty-one million, two hundred four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 127 153 204 254 306 381 459 508 612 762 918 1143 1524 1836 2159 2286 3429 4318 4572 6477 6858 8636 12954 13716 19431 25908 38862 58031 58293 77724 116062 116586 174093 232124 233172 348186 522279 696372 986527 1044558 1566837 1973054 2089116 2959581 3133674 3946108 5919162 6267348 7369937 8878743 11838324 14739874 17757486 22109811 26636229 29479748 35514972 44219622 53272458 66329433 88439244 106544916 125288929 132658866 198988299 250577858 265317732 375866787 397976598 501155716 751733574 795953196 1127600361 1503467148 2255200722 3382801083 4510401444 6765602166 13531204332