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131284830 = 23510342487
BaseRepresentation
bin1111101001100…
…11111101011110
3100011000221221010
413310303331132
5232102103310
621005520050
73152621415
oct764637536
9304027833
10131284830
116811a266
1237b73026
1321278541
141361647c
15b7d4320
hex7d33f5e

131284830 has 32 divisors (see below), whose sum is σ = 318150144. Its totient is φ = 34668576.

The previous prime is 131284819. The next prime is 131284831. The reversal of 131284830 is 38482131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131284831) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18154 + ... + 24333.

It is an arithmetic number, because the mean of its divisors is an integer number (9942192).

Almost surely, 2131284830 is an apocalyptic number.

131284830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131284830 is an abundant number, since it is smaller than the sum of its proper divisors (186865314).

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

131284830 is a wasteful number, since it uses less digits than its factorization.

131284830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42600.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 131284830 is about 11457.9592423782. The cubic root of 131284830 is about 508.2431281904.

The spelling of 131284830 in words is "one hundred thirty-one million, two hundred eighty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 103 206 309 515 618 1030 1545 3090 42487 84974 127461 212435 254922 424870 637305 1274610 4376161 8752322 13128483 21880805 26256966 43761610 65642415 131284830