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131033430 = 23351144119
BaseRepresentation
bin1111100111101…
…10100101010110
3100010120012002000
413303312211112
5232021032210
621000300130
73150523443
oct763664526
9303505060
10131033430
1167a683a0
1237a71646
13211bac98
141358c9ca
15b784ac0
hex7cf6956

131033430 has 64 divisors (see below), whose sum is σ = 381196800. Its totient is φ = 31764960.

The previous prime is 131033401. The next prime is 131033459. The reversal of 131033430 is 34330131.

It is an interprime number because it is at equal distance from previous prime (131033401) and next prime (131033459).

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

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 31 ways as a sum of consecutive naturals, for example, 19090 + ... + 25029.

It is an arithmetic number, because the mean of its divisors is an integer number (5956200).

Almost surely, 2131033430 is an apocalyptic number.

131033430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131033430 is an abundant number, since it is smaller than the sum of its proper divisors (250163370).

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

131033430 is a wasteful number, since it uses less digits than its factorization.

131033430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44146 (or 44140 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131033430 is about 11446.9834454323. The cubic root of 131033430 is about 507.9185058477.

Adding to 131033430 its reverse (34330131), we get a palindrome (165363561).

The spelling of 131033430 in words is "one hundred thirty-one million, thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 44119 88238 132357 220595 264714 397071 441190 485309 661785 794142 970618 1191213 1323570 1455927 1985355 2382426 2426545 2911854 3970710 4367781 4853090 5956065 7279635 8735562 11912130 13103343 14559270 21838905 26206686 43677810 65516715 131033430