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3130200018 = 2331138313759
BaseRepresentation
bin1011101010010011…
…0000111111010010
322002011000122012000
42322210300333102
522402312400033
61234335014430
7140366155401
oct27244607722
98064018160
103130200018
111366a09670
1273436a416
133ab67007a
14219a19638
15134c11a13
hexba930fd2

3130200018 has 64 divisors (see below), whose sum is σ = 7608729600. Its totient is φ = 946000080.

The previous prime is 3130199977. The next prime is 3130200023. The reversal of 3130200018 is 8100020313.

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 31 ways as a sum of consecutive naturals, for example, 220623 + ... + 234381.

It is an arithmetic number, because the mean of its divisors is an integer number (118886400).

Almost surely, 23130200018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130200018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804364800).

3130200018 is an abundant number, since it is smaller than the sum of its proper divisors (4478529582).

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

3130200018 is a wasteful number, since it uses less digits than its factorization.

3130200018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14164 (or 14158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3130200018 is about 55948.1904801219. The cubic root of 3130200018 is about 1462.8193501173.

The spelling of 3130200018 in words is "three billion, one hundred thirty million, two hundred thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 383 594 766 1149 2298 3447 4213 6894 8426 10341 12639 13759 20682 25278 27518 37917 41277 75834 82554 113751 123831 151349 227502 247662 302698 371493 454047 742986 908094 1362141 2724282 4086423 5269697 8172846 10539394 15809091 31618182 47427273 57966667 94854546 115933334 142281819 173900001 284563638 347800002 521700003 1043400006 1565100009 3130200018