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300002333130 = 2325101163720161
BaseRepresentation
bin1000101110110011000…
…10000101000111001010
31001200100200022120012100
410113121202011013022
514403401044130010
6345452535054230
730450223520433
oct4273142050712
91050320276170
10300002333130
11106259550205
124a186211376
13223a0467866
141073d58c48a
157c0c9c02c0
hex45d98851ca

300002333130 has 96 divisors (see below), whose sum is σ = 788249197008. Its totient is φ = 79156224000.

The previous prime is 300002333129. The next prime is 300002333149. The reversal of 300002333130 is 31333200003.

300002333130 is a `hidden beast` number, since 300 + 0 + 0 + 2 + 3 + 331 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 148353617889 + 151648715241 = 385167^2 + 389421^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 14870250 + ... + 14890410.

Almost surely, 2300002333130 is an apocalyptic number.

300002333130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 300002333130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394124598504).

300002333130 is an abundant number, since it is smaller than the sum of its proper divisors (488246863878).

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

300002333130 is a wasteful number, since it uses less digits than its factorization.

300002333130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21912 (or 21909 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 300002333130 its reverse (31333200003), we get a palindrome (331335533133).

The spelling of 300002333130 in words is "three hundred billion, two million, three hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1637 1818 3030 3274 4545 4911 8185 9090 9822 14733 16370 20161 24555 29466 40322 49110 60483 73665 100805 120966 147330 165337 181449 201610 302415 330674 362898 496011 604830 826685 907245 992022 1488033 1653370 1814490 2036261 2480055 2976066 4072522 4960110 6108783 7440165 10181305 12217566 14880330 18326349 20362610 30543915 33003557 36652698 61087830 66007114 91631745 99010671 165017785 183263490 198021342 297032013 330035570 495053355 594064026 990106710 1485160065 2970320130 3333359257 6666718514 10000077771 16666796285 20000155542 30000233313 33333592570 50000388855 60000466626 100000777710 150001166565 300002333130