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131113300 = 225219151457
BaseRepresentation
bin1111101000010…
…10000101010100
3100010201020122011
413310022011110
5232031111200
621002114004
73151305343
oct764120524
9303636564
10131113300
11680123aa
1237aab904
1321218446
14135adb5a
15b79d5ba
hex7d0a154

131113300 has 72 divisors (see below), whose sum is σ = 302133440. Its totient is φ = 49248000.

The previous prime is 131113289. The next prime is 131113303. The reversal of 131113300 is 3311131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131113303) 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, 286672 + ... + 287128.

Almost surely, 2131113300 is an apocalyptic number.

131113300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151066720).

131113300 is an abundant number, since it is smaller than the sum of its proper divisors (171020140).

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

131113300 is a wasteful number, since it uses less digits than its factorization.

131113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 131113300 is about 11450.4716060082. The cubic root of 131113300 is about 508.0216836178.

Adding to 131113300 its reverse (3311131), we get a palindrome (134424431).

The spelling of 131113300 in words is "one hundred thirty-one million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 151 190 302 380 457 475 604 755 914 950 1510 1828 1900 2285 2869 3020 3775 4570 5738 7550 8683 9140 11425 11476 14345 15100 17366 22850 28690 34732 43415 45700 57380 69007 71725 86830 138014 143450 173660 217075 276028 286900 345035 434150 690070 868300 1311133 1380140 1725175 2622266 3450350 5244532 6555665 6900700 13111330 26222660 32778325 65556650 131113300