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131242700 = 22523779449
BaseRepresentation
bin1111101001010…
…01101011001100
3100010221211010202
413310221223030
5232044231300
621004553032
73152354531
oct764515314
9303854122
10131242700
11680a0646
1237b52778
1321262304
1413604d88
15b7c6ad5
hex7d29acc

131242700 has 72 divisors (see below), whose sum is σ = 296856000. Its totient is φ = 50319360.

The previous prime is 131242691. The next prime is 131242711. The reversal of 131242700 is 7242131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 292076 + ... + 292524.

It is an arithmetic number, because the mean of its divisors is an integer number (4123000).

Almost surely, 2131242700 is an apocalyptic number.

131242700 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 131242700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428000).

131242700 is an abundant number, since it is smaller than the sum of its proper divisors (165613300).

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

131242700 is a wasteful number, since it uses less digits than its factorization.

131242700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 131242700 is about 11456.1206348397. The cubic root of 131242700 is about 508.1887563998.

Adding to 131242700 its reverse (7242131), we get a palindrome (138484831).

The spelling of 131242700 in words is "one hundred thirty-one million, two hundred forty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 79 100 148 158 185 316 370 395 449 740 790 898 925 1580 1796 1850 1975 2245 2923 3700 3950 4490 5846 7900 8980 11225 11692 14615 16613 22450 29230 33226 35471 44900 58460 66452 70942 73075 83065 141884 146150 166130 177355 292300 332260 354710 415325 709420 830650 886775 1312427 1661300 1773550 2624854 3547100 5249708 6562135 13124270 26248540 32810675 65621350 131242700