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131030100 = 223252145589
BaseRepresentation
bin1111100111101…
…01110001010100
3100010120000111200
413303311301110
5232020430400
621000232500
73150510645
oct763656124
9303500450
10131030100
1167a65943
1237a6b730
13211b9606
141358b6cc
15b783b00
hex7cf5c54

131030100 has 54 divisors (see below), whose sum is σ = 410709390. Its totient is φ = 34941120.

The previous prime is 131030093. The next prime is 131030129. The reversal of 131030100 is 1030131.

It can be written as a sum of positive squares in 3 ways, for example, as 248004 + 130782096 = 498^2 + 11436^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 71895 + ... + 73694.

Almost surely, 2131030100 is an apocalyptic number.

131030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131030100 is an abundant number, since it is smaller than the sum of its proper divisors (279679290).

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

131030100 is a wasteful number, since it uses less digits than its factorization.

131030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145609 (or 145599 counting only the distinct ones).

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

The square root of 131030100 is about 11446.8379913407. The cubic root of 131030100 is about 507.9142031722.

Adding to 131030100 its reverse (1030131), we get a palindrome (132060231).

The spelling of 131030100 in words is "one hundred thirty-one million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 145589 291178 436767 582356 727945 873534 1310301 1455890 1747068 2183835 2620602 2911780 3639725 4367670 5241204 6551505 7279450 8735340 10919175 13103010 14558900 21838350 26206020 32757525 43676700 65515050 131030100