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131034100 = 22526121481
BaseRepresentation
bin1111100111101…
…10101111110100
3100010120012222211
413303312233310
5232021042400
621000303204
73150525421
oct763665764
9303505884
10131034100
1167a6894a
1237a71b04
13211bb392
141358cd48
15b784dba
hex7cf6bf4

131034100 has 36 divisors (see below), whose sum is σ = 289018828. Its totient is φ = 51552000.

The previous prime is 131034097. The next prime is 131034133. The reversal of 131034100 is 1430131.

131034100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13571856 + 117462244 = 3684^2 + 10838^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4641 + ... + 16840.

Almost surely, 2131034100 is an apocalyptic number.

131034100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131034100 is an abundant number, since it is smaller than the sum of its proper divisors (157984728).

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

131034100 is a wasteful number, since it uses less digits than its factorization.

131034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21556 (or 21549 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 131034100 is about 11447.0127107469. The cubic root of 131034100 is about 507.9193715423.

Adding to 131034100 its reverse (1430131), we get a palindrome (132464231).

The spelling of 131034100 in words is "one hundred thirty-one million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 21481 42962 85924 107405 214810 429620 537025 1074050 1310341 2148100 2620682 5241364 6551705 13103410 26206820 32758525 65517050 131034100