Search a number
-
+
131214300 = 22352762483
BaseRepresentation
bin1111101001000…
…10101111011100
3100010220101011220
413310202233130
5232042324200
621004213340
73152205660
oct764425734
9303811156
10131214300
1168081278
1237b3a250
13212523c9
14135d88a0
15b7bd4a0
hex7d22bdc

131214300 has 72 divisors (see below), whose sum is σ = 433888896. Its totient is φ = 29991360.

The previous prime is 131214277. The next prime is 131214329. The reversal of 131214300 is 3412131.

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 131214300.

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, 29142 + ... + 33341.

Almost surely, 2131214300 is an apocalyptic number.

131214300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131214300 is an abundant number, since it is smaller than the sum of its proper divisors (302674596).

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

131214300 is a wasteful number, since it uses less digits than its factorization.

131214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62507 (or 62500 counting only the distinct ones).

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

The square root of 131214300 is about 11454.8810556898. The cubic root of 131214300 is about 508.1520975943.

Adding to 131214300 its reverse (3412131), we get a palindrome (134626431).

The spelling of 131214300 in words is "one hundred thirty-one million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 62483 124966 187449 249932 312415 374898 437381 624830 749796 874762 937245 1249660 1312143 1562075 1749524 1874490 2186905 2624286 3124150 3748980 4373810 4686225 5248572 6248300 6560715 8747620 9372450 10934525 13121430 18744900 21869050 26242860 32803575 43738100 65607150 131214300