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131010030 = 23253146957
BaseRepresentation
bin1111100111100…
…00110111101110
3100010111222222100
413303300313232
5232014310110
620555555530
73150365304
oct763606756
9303458870
10131010030
1167a51858
1237a5bba6
13211b0438
1413584274
15b77cbc0
hex7cf0dee

131010030 has 48 divisors (see below), whose sum is σ = 351621504. Its totient is φ = 33808320.

The previous prime is 131010013. The next prime is 131010037. The reversal of 131010030 is 30010131.

131010030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131009994 and 131010021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20689 + ... + 26268.

It is an arithmetic number, because the mean of its divisors is an integer number (7325448).

Almost surely, 2131010030 is an apocalyptic number.

131010030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131010030 is an abundant number, since it is smaller than the sum of its proper divisors (220611474).

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

131010030 is a wasteful number, since it uses less digits than its factorization.

131010030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47001 (or 46998 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 131010030 is about 11445.9612964574. The cubic root of 131010030 is about 507.8882692874. Note that the first 3 decimals are identical.

Adding to 131010030 its reverse (30010131), we get a palindrome (161020161).

The spelling of 131010030 in words is "one hundred thirty-one million, ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 46957 93914 140871 234785 281742 422613 469570 704355 845226 1408710 1455667 2113065 2911334 4226130 4367001 7278335 8734002 13101003 14556670 21835005 26202006 43670010 65505015 131010030