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131010040 = 2357467893
BaseRepresentation
bin1111100111100…
…00110111111000
3100010111222222201
413303300313320
5232014310130
620555555544
73150365320
oct763606770
9303458881
10131010040
1167a51867
1237a5bbb4
13211b0445
1413584280
15b77cbca
hex7cf0df8

131010040 has 32 divisors (see below), whose sum is σ = 336883680. Its totient is φ = 44917632.

The previous prime is 131010037. The next prime is 131010071. The reversal of 131010040 is 40010131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 131009999 and 131010026.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 233667 + ... + 234226.

It is an arithmetic number, because the mean of its divisors is an integer number (10527615).

Almost surely, 2131010040 is an apocalyptic number.

131010040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010040 is an abundant number, since it is smaller than the sum of its proper divisors (205873640).

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

131010040 is a wasteful number, since it uses less digits than its factorization.

131010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467911 (or 467907 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 131010040 is about 11445.9617332927. The cubic root of 131010040 is about 507.8882822098. Note that the first 3 decimals are identical.

Adding to 131010040 its reverse (40010131), we get a palindrome (171020171).

Subtracting from 131010040 its reverse (40010131), we obtain a palindrome (90999909).

The spelling of 131010040 in words is "one hundred thirty-one million, ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 467893 935786 1871572 2339465 3275251 3743144 4678930 6550502 9357860 13101004 16376255 18715720 26202008 32752510 65505020 131010040