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331300002 = 231129179967
BaseRepresentation
bin10011101111110…
…011110010100010
3212002101210011110
4103233303302202
51134303100002
652512524150
711132001135
oct2357636242
9762353143
10331300002
11160012660
1292b50656
1353839707
143200021c
151e142e6c
hex13bf3ca2

331300002 has 64 divisors (see below), whose sum is σ = 752716800. Its totient is φ = 96290880.

The previous prime is 331299989. The next prime is 331300003. The reversal of 331300002 is 200003133.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (331300003) 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 31 ways as a sum of consecutive naturals, for example, 342123 + ... + 343089.

It is an arithmetic number, because the mean of its divisors is an integer number (11761200).

Almost surely, 2331300002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331300002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376358400).

331300002 is an abundant number, since it is smaller than the sum of its proper divisors (421416798).

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

331300002 is a wasteful number, since it uses less digits than its factorization.

331300002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 331300002 is about 18201.6483319506. The cubic root of 331300002 is about 691.9485647337.

Adding to 331300002 its reverse (200003133), we get a palindrome (531303135).

The spelling of 331300002 in words is "three hundred thirty-one million, three hundred thousand, two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 179 319 358 537 638 957 967 1074 1914 1934 1969 2901 3938 5191 5802 5907 10382 10637 11814 15573 21274 28043 31146 31911 56086 57101 63822 84129 114202 168258 171303 173093 308473 342606 346186 519279 616946 925419 1038558 1850838 1904023 3808046 5019697 5712069 10039394 11424138 15059091 30118182 55216667 110433334 165650001 331300002