Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
131108636148 = 22372977228223
BaseRepresentation
bin111101000011010101…
…1110000010111110100
3110112102012000210111220
41322012223300113310
54122002302324043
6140121441030340
712320665006500
oct1720653602764
9415365023456
10131108636148
115066a452956
12214b00253b0
13c49578a359
1464ba815300
153625353483
hex1e86af05f4

131108636148 has 72 divisors (see below), whose sum is σ = 356232102912. Its totient is φ = 37421104896.

The previous prime is 131108636111. The next prime is 131108636149. The reversal of 131108636148 is 841636801131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131108636149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460365 + ... + 688587.

It is an arithmetic number, because the mean of its divisors is an integer number (4947668096).

Almost surely, 2131108636148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131108636148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178116051456).

131108636148 is an abundant number, since it is smaller than the sum of its proper divisors (225123466764).

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

131108636148 is a wasteful number, since it uses less digits than its factorization.

131108636148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229221 (or 229212 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 131108636148 in words is "one hundred thirty-one billion, one hundred eight million, six hundred thirty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 977 1954 2931 3908 5862 6839 11724 13678 20517 27356 41034 47873 82068 95746 143619 191492 228223 287238 456446 574476 684669 912892 1369338 1597561 2738676 3195122 4792683 6390244 9585366 11182927 19170732 22365854 33548781 44731708 67097562 134195124 222973871 445947742 668921613 891895484 1337843226 1560817097 2675686452 3121634194 4682451291 6243268388 9364902582 10925719679 18729805164 21851439358 32777159037 43702878716 65554318074 131108636148