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131340120 = 23352322069
BaseRepresentation
bin1111101010000…
…01011101011000
3100011010202202220
413311001131120
5232110340440
621011024040
73153241542
oct765013530
9304122686
10131340120
116815785a
1237b9b020
1321297762
141362c692
15b7e58d0
hex7d41758

131340120 has 96 divisors (see below), whose sum is σ = 412095600. Its totient is φ = 33485056.

The previous prime is 131340109. The next prime is 131340151. The reversal of 131340120 is 21043131.

It is a super-2 number, since 2×1313401202 = 34500454243228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131340120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62446 + ... + 64514.

Almost surely, 2131340120 is an apocalyptic number.

131340120 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 131340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206047800).

131340120 is an abundant number, since it is smaller than the sum of its proper divisors (280755480).

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

131340120 is a wasteful number, since it uses less digits than its factorization.

131340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131340120 is about 11460.3717217200. The cubic root of 131340120 is about 508.3144662590.

Adding to 131340120 its reverse (21043131), we get a palindrome (152383251).

The spelling of 131340120 in words is "one hundred thirty-one million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 920 1058 1380 1587 2069 2116 2645 2760 3174 4138 4232 5290 6207 6348 7935 8276 10345 10580 12414 12696 15870 16552 20690 21160 24828 31035 31740 41380 47587 49656 62070 63480 82760 95174 124140 142761 190348 237935 248280 285522 380696 475870 571044 713805 951740 1094501 1142088 1427610 1903480 2189002 2855220 3283503 4378004 5472505 5710440 6567006 8756008 10945010 13134012 16417515 21890020 26268024 32835030 43780040 65670060 131340120