Search a number
-
+
131330322 = 2352331379
BaseRepresentation
bin1111101001111…
…11000100010010
3100011010021100000
413310333010102
5232110032242
621010510430
73153201144
oct764770422
9304107300
10131330322
1168150462
1237b95416
1321293166
1413628c94
15b7e2a4c
hex7d3f112

131330322 has 96 divisors (see below), whose sum is σ = 318689280. Its totient is φ = 40415760.

The previous prime is 131330281. The next prime is 131330323. The reversal of 131330322 is 223033131.

131330322 is a `hidden beast` number, since 1 + 313 + 30 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131330295 and 131330304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330323) 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, 346329 + ... + 346707.

It is an arithmetic number, because the mean of its divisors is an integer number (3319680).

Almost surely, 2131330322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131330322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159344640).

131330322 is an abundant number, since it is smaller than the sum of its proper divisors (187358958).

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

131330322 is a wasteful number, since it uses less digits than its factorization.

131330322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131330322 is about 11459.9442407020. The cubic root of 131330322 is about 508.3018258234.

Adding to 131330322 its reverse (223033131), we get a palindrome (354363453).

The spelling of 131330322 in words is "one hundred thirty-one million, three hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 81 93 138 162 186 207 243 279 379 414 486 558 621 713 758 837 1137 1242 1426 1674 1863 2139 2274 2511 3411 3726 4278 5022 5589 6417 6822 7533 8717 10233 11178 11749 12834 15066 17434 19251 20466 23498 26151 30699 35247 38502 52302 57753 61398 70494 78453 92097 105741 115506 156906 173259 184194 211482 235359 270227 317223 346518 470718 540454 634446 706077 810681 951669 1412154 1621362 1903338 2118231 2432043 2855007 4236462 4864086 5710014 7296129 14592258 21888387 43776774 65665161 131330322