Search a number
-
+
131013303321000 = 23353311408745197
BaseRepresentation
bin11101110010011111101001…
…011001111100000110101000
3122011212202020100222102220110
4131302133221121330012220
5114133010221122233000
61142350403004454320
736411253534626102
oct3562375131740650
9564782210872813
10131013303321000
1138821480240091
121283b30a24a3a0
135814669a13ca9
14244d11336a572
151022e53bc9850
hex7727e967c1a8

131013303321000 has 128 divisors (see below), whose sum is σ = 421947361704960. Its totient is φ = 33809884704000.

The previous prime is 131013303320941. The next prime is 131013303321001. The reversal of 131013303321000 is 123303310131.

It is not an unprimeable number, because it can be changed into a prime (131013303321001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704279599 + ... + 704465598.

It is an arithmetic number, because the mean of its divisors is an integer number (3296463763320).

Almost surely, 2131013303321000 is an apocalyptic number.

131013303321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131013303321000 is an abundant number, since it is smaller than the sum of its proper divisors (290934058383960).

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

131013303321000 is a wasteful number, since it uses less digits than its factorization.

131013303321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408745252 (or 1408745238 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131013303321000 its reverse (123303310131), we get a palindrome (131136606631131).

The spelling of 131013303321000 in words is "one hundred thirty-one trillion, thirteen billion, three hundred three million, three hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 46500 93000 1408745197 2817490394 4226235591 5634980788 7043725985 8452471182 11269961576 14087451970 16904942364 21131177955 28174903940 33809884728 35218629925 42262355910 43671101107 56349807880 70437259850 84524711820 87342202214 105655889775 131013303321 140874519700 169049423640 174684404428 176093149625 211311779550 218355505535 262026606642 281749039400 349368808856 352186299250 422623559100 436711011070 524053213284 528279448875 655066516605 704372598500 845247118200 873422022140 1048106426568 1056558897750 1091777527675 1310133033210 1408745197000 1746844044280 2113117795500 2183555055350 2620266066420 3275332583025 4226235591000 4367110110700 5240532132840 5458887638375 6550665166050 8734220221400 10917775276750 13101330332100 16376662915125 21835550553500 26202660664200 32753325830250 43671101107000 65506651660500 131013303321000