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1310034012 = 2237221110559
BaseRepresentation
bin100111000010101…
…1000100001011100
310101022001121211020
41032011120201130
510140332042022
6333554324140
744315051100
oct11605304134
93338047736
101310034012
11612530a41
12306889650
1317b53c171
14c5db3900
157a02335c
hex4e15885c

1310034012 has 72 divisors (see below), whose sum is σ = 3572997120. Its totient is φ = 372486240.

The previous prime is 1310033999. The next prime is 1310034041. The reversal of 1310034012 is 2104300131.

It is a super-2 number, since 2×13100340122 = 3432378225193632288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310033982 and 1310034000.

It is a congruent number.

It is an unprimeable number.

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, 118789 + ... + 129347.

It is an arithmetic number, because the mean of its divisors is an integer number (49624960).

Almost surely, 21310034012 is an apocalyptic number.

1310034012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310034012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786498560).

1310034012 is an abundant number, since it is smaller than the sum of its proper divisors (2262963108).

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

1310034012 is a wasteful number, since it uses less digits than its factorization.

1310034012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10791 (or 10782 counting only the distinct ones).

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

The square root of 1310034012 is about 36194.3919965511. The cubic root of 1310034012 is about 1094.1936508471.

Adding to 1310034012 its reverse (2104300131), we get a palindrome (3414334143).

The spelling of 1310034012 in words is "one billion, three hundred ten million, thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 211 294 422 588 633 844 1266 1477 2532 2954 4431 5908 8862 10339 10559 17724 20678 21118 31017 31677 41356 42236 62034 63354 73913 124068 126708 147826 221739 295652 443478 517391 886956 1034782 1552173 2069564 2227949 3104346 4455898 6208692 6683847 8911796 13367694 15595643 26735388 31191286 46786929 62382572 93573858 109169501 187147716 218339002 327508503 436678004 655017006 1310034012