Search a number
-
+
13201131000312 = 2332284364491397
BaseRepresentation
bin1100000000011010000010…
…1110010101000111111000
31201202000102111221222112100
43000012200232111013320
53212241404014002222
644024303231543400
72531515222034403
oct300064056250770
951660374858470
1013201131000312
11422a62832a1a2
12159257408ab60
13749b273c0638
14338d1c3d4d3a
1517d5d20674ac
hexc01a0b951f8

13201131000312 has 48 divisors (see below), whose sum is σ = 35765639502840. Its totient is φ = 4398829138368.

The previous prime is 13201131000307. The next prime is 13201131000319. The reversal of 13201131000312 is 21300013110231.

13201131000312 is a `hidden beast` number, since 1 + 32 + 0 + 11 + 310 + 0 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201131000319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32041003 + ... + 32450394.

Almost surely, 213201131000312 is an apocalyptic number.

13201131000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13201131000312 is an abundant number, since it is smaller than the sum of its proper divisors (22564508502528).

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

13201131000312 is a wasteful number, since it uses less digits than its factorization.

13201131000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64494252 (or 64494245 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13201131000312 its reverse (21300013110231), we get a palindrome (34501144110543).

The spelling of 13201131000312 in words is "thirteen trillion, two hundred one billion, one hundred thirty-one million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2843 5686 8529 11372 17058 22744 25587 34116 51174 68232 102348 204696 64491397 128982794 193474191 257965588 386948382 515931176 580422573 773896764 1160845146 1547793528 2321690292 4643380584 183349041671 366698083342 550047125013 733396166684 1100094250026 1466792333368 1650141375039 2200188500052 3300282750078 4400377000104 6600565500156 13201131000312