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131033340 = 223257110253
BaseRepresentation
bin1111100111101…
…10100011111100
3100010120011221200
413303312203330
5232021031330
621000255500
73150523254
oct763664374
9303504850
10131033340
1167a68319
1237a71590
13211bac29
141358c964
15b784a60
hex7cf68fc

131033340 has 72 divisors (see below), whose sum is σ = 403105248. Its totient is φ = 34446720.

The previous prime is 131033333. The next prime is 131033363. The reversal of 131033340 is 43330131.

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

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, 7654 + ... + 17906.

It is an arithmetic number, because the mean of its divisors is an integer number (5598684).

Almost surely, 2131033340 is an apocalyptic number.

131033340 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 131033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201552624).

131033340 is an abundant number, since it is smaller than the sum of its proper divisors (272071908).

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

131033340 is a wasteful number, since it uses less digits than its factorization.

131033340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10339 (or 10334 counting only the distinct ones).

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

The square root of 131033340 is about 11446.9795142649. The cubic root of 131033340 is about 507.9183895601.

Adding to 131033340 its reverse (43330131), we get a palindrome (174363471).

The spelling of 131033340 in words is "one hundred thirty-one million, thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 10253 12780 20506 30759 41012 51265 61518 92277 102530 123036 153795 184554 205060 307590 369108 461385 615180 727963 922770 1455926 1845540 2183889 2911852 3639815 4367778 6551667 7279630 8735556 10919445 13103334 14559260 21838890 26206668 32758335 43677780 65516670 131033340