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131450000 = 245511239
BaseRepresentation
bin1111101010111…
…00010010010000
3100011100100111112
413311130102100
5232122400000
621013232452
73154210103
oct765342220
9304310445
10131450000
1168222370
1238032728
1321305786
141365a73a
15b818235
hex7d5c490

131450000 has 120 divisors (see below), whose sum is σ = 348727680. Its totient is φ = 47600000.

The previous prime is 131449973. The next prime is 131450003. The reversal of 131450000 is 54131.

It is not an unprimeable number, because it can be changed into a prime (131450003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549881 + ... + 550119.

It is an arithmetic number, because the mean of its divisors is an integer number (2906064).

Almost surely, 2131450000 is an apocalyptic number.

131450000 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 131450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).

131450000 is an abundant number, since it is smaller than the sum of its proper divisors (217277680).

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

131450000 is an equidigital number, since it uses as much as digits as its factorization.

131450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 131450000 is about 11465.1646303051. The cubic root of 131450000 is about 508.4561798115.

The spelling of 131450000 in words is "one hundred thirty-one million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 239 250 275 400 440 478 500 550 625 880 956 1000 1100 1195 1250 1375 1912 2000 2200 2390 2500 2629 2750 3125 3824 4400 4780 5000 5258 5500 5975 6250 6875 9560 10000 10516 11000 11950 12500 13145 13750 19120 21032 22000 23900 25000 26290 27500 29875 34375 42064 47800 50000 52580 55000 59750 65725 68750 95600 105160 110000 119500 131450 137500 149375 210320 239000 262900 275000 298750 328625 478000 525800 550000 597500 657250 746875 1051600 1195000 1314500 1493750 1643125 2390000 2629000 2987500 3286250 5258000 5975000 6572500 8215625 11950000 13145000 16431250 26290000 32862500 65725000 131450000