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3002114310 = 235132592133
BaseRepresentation
bin1011001011110000…
…1010000100000110
321202020000012121220
42302330022010012
522122020124220
61213521421210
7134252356566
oct26274120406
97666005556
103002114310
111300684a08
126b949a806
1338ac74a00
142069d6da6
15128860540
hexb2f0a106

3002114310 has 48 divisors (see below), whose sum is σ = 7801957584. Its totient is φ = 738980736.

The previous prime is 3002114309. The next prime is 3002114317. The reversal of 3002114310 is 134112003.

It is a super-2 number, since 2×30021143102 = 18025380660613552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3002114310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002114317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290997 + ... + 301136.

It is an arithmetic number, because the mean of its divisors is an integer number (162540783).

Almost surely, 23002114310 is an apocalyptic number.

3002114310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3002114310 is an abundant number, since it is smaller than the sum of its proper divisors (4799843274).

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

3002114310 is a wasteful number, since it uses less digits than its factorization.

3002114310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592169 (or 592156 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3002114310 is about 54791.5532723795. The cubic root of 3002114310 is about 1442.5883088188.

Adding to 3002114310 its reverse (134112003), we get a palindrome (3136226313).

The spelling of 3002114310 in words is "three billion, two million, one hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 592133 1184266 1776399 2960665 3552798 5921330 7697729 8881995 15395458 17763990 23093187 38488645 46186374 76977290 100070477 115465935 200140954 230931870 300211431 500352385 600422862 1000704770 1501057155 3002114310