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131342442 = 237211172389
BaseRepresentation
bin1111101010000…
…10000001101010
3100011010212221220
413311002001222
5232110424232
621011042510
73153251400
oct765020152
9304125856
10131342442
1168159580
1237ba0436
132129882a
141362d470
15b7e642c
hex7d4206a

131342442 has 96 divisors (see below), whose sum is σ = 353108160. Its totient is φ = 32094720.

The previous prime is 131342441. The next prime is 131342447. The reversal of 131342442 is 244243131.

131342442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131342441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53784 + ... + 56172.

It is an arithmetic number, because the mean of its divisors is an integer number (3678210).

Almost surely, 2131342442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131342442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176554080).

131342442 is an abundant number, since it is smaller than the sum of its proper divisors (221765718).

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

131342442 is a wasteful number, since it uses less digits than its factorization.

131342442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2429 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 131342442 is about 11460.4730268868. The cubic root of 131342442 is about 508.3174617876.

Adding to 131342442 its reverse (244243131), we get a palindrome (375585573).

It can be divided in two parts, 13134 and 2442, that added together give a triangular number (15576 = T176).

The spelling of 131342442 in words is "one hundred thirty-one million, three hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 49 51 66 77 98 102 119 147 154 187 231 238 294 357 374 462 539 561 714 833 1078 1122 1309 1617 1666 2389 2499 2618 3234 3927 4778 4998 7167 7854 9163 14334 16723 18326 26279 27489 33446 40613 50169 52558 54978 78837 81226 100338 117061 121839 157674 183953 234122 243678 284291 351183 367906 446743 551859 568582 702366 852873 893486 1103718 1287671 1340229 1705746 1990037 2575342 2680458 3127201 3863013 3980074 5970111 6254402 7726026 9381603 11940222 18763206 21890407 43780814 65671221 131342442