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131210550 = 23352831171
BaseRepresentation
bin1111101001000…
…01110100110110
3100010220012001000
413310201310312
5232042214200
621004144130
73152162022
oct764416466
9303805030
10131210550
1168079479
1237b38046
13212507a3
14135d7382
15b7bc300
hex7d21d36

131210550 has 96 divisors (see below), whose sum is σ = 366226560. Its totient is φ = 34538400.

The previous prime is 131210543. The next prime is 131210557. The reversal of 131210550 is 55012131.

It is an interprime number because it is at equal distance from previous prime (131210543) and next prime (131210557).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131210557) 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, 111465 + ... + 112635.

It is an arithmetic number, because the mean of its divisors is an integer number (3814860).

Almost surely, 2131210550 is an apocalyptic number.

131210550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131210550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183113280).

131210550 is an abundant number, since it is smaller than the sum of its proper divisors (235016010).

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

131210550 is a wasteful number, since it uses less digits than its factorization.

131210550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 131210550 is about 11454.7173688398. The cubic root of 131210550 is about 508.1472566877.

Adding to 131210550 its reverse (55012131), we get a palindrome (186222681).

It can be divided in two parts, 131 and 210550, that added together give a square (210681 = 4592).

The spelling of 131210550 in words is "one hundred thirty-one million, two hundred ten thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 83 90 135 150 166 225 249 270 415 450 498 675 747 830 1171 1245 1350 1494 2075 2241 2342 2490 3513 3735 4150 4482 5855 6225 7026 7470 10539 11205 11710 12450 17565 18675 21078 22410 29275 31617 35130 37350 52695 56025 58550 63234 87825 97193 105390 112050 158085 175650 194386 263475 291579 316170 485965 526950 583158 790425 874737 971930 1457895 1580850 1749474 2429825 2624211 2915790 4373685 4859650 5248422 7289475 8747370 13121055 14578950 21868425 26242110 43736850 65605275 131210550