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230131303002 = 23237523765981
BaseRepresentation
bin1101011001010011100…
…1010000001001011010
3211000000020122110201200
43112110321100021122
512232302103144002
6253415412255030
722424603541306
oct3262471201132
9730006573650
10230131303002
1189664137107
1238726611476
1318916967b53
14b1d1b48d06
155ebd887b1c
hex3594e5025a

230131303002 has 48 divisors (see below), whose sum is σ = 512199527112. Its totient is φ = 74621796480.

The previous prime is 230131303001. The next prime is 230131303009. The reversal of 230131303002 is 200303131032.

230131303002 is a `hidden beast` number, since 2 + 301 + 31 + 30 + 300 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 221595206121 + 8536096881 = 470739^2 + 92391^2 .

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

It is not an unprimeable number, because it can be changed into a prime (230131303001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3454852 + ... + 3520832.

Almost surely, 2230131303002 is an apocalyptic number.

230131303002 is an abundant number, since it is smaller than the sum of its proper divisors (282068224110).

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

230131303002 is a wasteful number, since it uses less digits than its factorization.

230131303002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71263 (or 71260 counting only the distinct ones).

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

Adding to 230131303002 its reverse (200303131032), we get a palindrome (430434434034).

The spelling of 230131303002 in words is "two hundred thirty billion, one hundred thirty-one million, three hundred three thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 5237 10474 15711 31422 47133 65981 94266 131962 193769 197943 387538 395886 581307 593829 1162614 1187658 1743921 2441297 3487842 4882594 7323891 14647782 21971673 43943346 345542497 691084994 1036627491 2073254982 3109882473 6219764946 12785072389 25570144778 38355217167 76710434334 115065651501 230131303002