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13000333332 = 22372314934507
BaseRepresentation
bin11000001101110000…
…10101100000010100
31020120000102100201010
430012320111200110
5203111041131312
65550002132220
7640106003310
oct140670254024
936500370633
1013000333332
115571392938
122629951070
1312c248a63c
148b4814b40
155114ba93c
hex306e15814

13000333332 has 96 divisors (see below), whose sum is σ = 36207101952. Its totient is φ = 3549718656.

The previous prime is 13000333267. The next prime is 13000333351. The reversal of 13000333332 is 23333300031.

It is a super-2 number, since 2×130003333322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13000333299 and 13000333308.

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 31 ways as a sum of consecutive naturals, for example, 2882223 + ... + 2886729.

It is an arithmetic number, because the mean of its divisors is an integer number (377157312).

Almost surely, 213000333332 is an apocalyptic number.

13000333332 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 13000333332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18103550976).

13000333332 is an abundant number, since it is smaller than the sum of its proper divisors (23206768620).

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

13000333332 is a wasteful number, since it uses less digits than its factorization.

13000333332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 13000333332 its reverse (23333300031), we get a palindrome (36333633363).

The spelling of 13000333332 in words is "thirteen billion, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1493 1932 2986 4479 4507 5972 8958 9014 10451 13521 17916 18028 20902 27042 31353 31549 34339 41804 54084 62706 63098 68678 94647 103017 103661 125412 126196 137356 189294 206034 207322 240373 310983 378588 412068 414644 480746 621966 721119 725627 961492 1243932 1442238 1451254 2176881 2884476 2902508 4353762 6728951 8707524 13457902 20186853 26915804 40373706 47102657 80747412 94205314 141307971 154765873 188410628 282615942 309531746 464297619 565231884 619063492 928595238 1083361111 1857190476 2166722222 3250083333 4333444444 6500166666 13000333332