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131551020 = 22335243613
BaseRepresentation
bin1111101011101…
…00111100101100
3100011112111002000
413311310330230
5232134113040
621015332300
73155110446
oct765647454
9304474060
10131551020
1168291257
1238081090
132133c753
1413685496
15b838130
hex7d74f2c

131551020 has 48 divisors (see below), whose sum is σ = 409271520. Its totient is φ = 35080128.

The previous prime is 131551019. The next prime is 131551027. The reversal of 131551020 is 20155131.

131551020 is a `hidden beast` number, since 131 + 5 + 510 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131550984 and 131551002.

It is not an unprimeable number, because it can be changed into a prime (131551027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121267 + ... + 122346.

It is an arithmetic number, because the mean of its divisors is an integer number (8526490).

Almost surely, 2131551020 is an apocalyptic number.

131551020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131551020 is an abundant number, since it is smaller than the sum of its proper divisors (277720500).

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

131551020 is a wasteful number, since it uses less digits than its factorization.

131551020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243631 (or 243623 counting only the distinct ones).

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

The square root of 131551020 is about 11469.5693031604. The cubic root of 131551020 is about 508.5863968548.

The spelling of 131551020 in words is "one hundred thirty-one million, five hundred fifty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 243613 487226 730839 974452 1218065 1461678 2192517 2436130 2923356 3654195 4385034 4872260 6577551 7308390 8770068 10962585 13155102 14616780 21925170 26310204 32887755 43850340 65775510 131551020