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1300333034 = 2711213137431
BaseRepresentation
bin100110110000001…
…1000000111101010
310100121210202120202
41031200120013222
510130341124114
6333010352202
744136435260
oct11540300752
93317722522
101300333034
11608005500
1230358b662
13179523740
14c49aa430
1579258cde
hex4d8181ea

1300333034 has 96 divisors (see below), whose sum is σ = 2664119808. Its totient is φ = 463161600.

The previous prime is 1300333031. The next prime is 1300333103. The reversal of 1300333034 is 4303330031.

It is a junction number, because it is equal to n+sod(n) for n = 1300332997 and 1300333015.

It is not an unprimeable number, because it can be changed into a prime (1300333031) 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 47 ways as a sum of consecutive naturals, for example, 3016799 + ... + 3017229.

It is an arithmetic number, because the mean of its divisors is an integer number (27751248).

Almost surely, 21300333034 is an apocalyptic number.

1300333034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1300333034 is an abundant number, since it is smaller than the sum of its proper divisors (1363786774).

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

1300333034 is a wasteful number, since it uses less digits than its factorization.

1300333034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 1300333034 is about 36060.1308095242. The cubic root of 1300333034 is about 1091.4860727800.

Adding to 1300333034 its reverse (4303330031), we get a palindrome (5603663065).

The spelling of 1300333034 in words is "one billion, three hundred million, three hundred thirty-three thousand, thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 137 143 154 182 242 274 286 431 847 862 959 1001 1507 1573 1694 1781 1918 2002 3014 3017 3146 3562 4741 5603 6034 9482 10549 11011 11206 12467 16577 19591 21098 22022 24934 33154 33187 39182 39221 52151 59047 61633 66374 78442 104302 116039 118094 123266 137137 215501 232078 274274 365057 413329 431002 431431 649517 677963 730114 767611 826658 862862 1299034 1355926 1508507 1535222 3017014 4546619 4745741 5373277 7144687 8443721 9093238 9491482 10746554 14289374 16887442 50012809 59106047 92880931 100025618 118212094 185761862 650166517 1300333034