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131226000 = 2435321871
BaseRepresentation
bin1111101001001…
…01100110010000
3100010220222020020
413310211212100
5232043213000
621004343440
73152255043
oct764454620
9303828206
10131226000
116808a044
1237b44b80
1321257829
14135dcc5a
15b7c1ba0
hex7d25990

131226000 has 80 divisors (see below), whose sum is σ = 423091968. Its totient is φ = 34992000.

The previous prime is 131225993. The next prime is 131226019. The reversal of 131226000 is 622131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4936 + ... + 16935.

Almost surely, 2131226000 is an apocalyptic number.

131226000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131226000 is an abundant number, since it is smaller than the sum of its proper divisors (291865968).

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

131226000 is a wasteful number, since it uses less digits than its factorization.

131226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21897 (or 21881 counting only the distinct ones).

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

The square root of 131226000 is about 11455.3917436288. The cubic root of 131226000 is about 508.1672006302.

Adding to 131226000 its reverse (622131), we get a palindrome (131848131).

The spelling of 131226000 in words is "one hundred thirty-one million, two hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 21871 43742 65613 87484 109355 131226 174968 218710 262452 328065 349936 437420 524904 546775 656130 874840 1049808 1093550 1312260 1640325 1749680 2187100 2624520 2733875 3280650 4374200 5249040 5467750 6561300 8201625 8748400 10935500 13122600 16403250 21871000 26245200 32806500 43742000 65613000 131226000