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5310001032 = 2337223319379
BaseRepresentation
bin1001111001000000…
…00010111110001000
3111201001201000000220
410330200002332020
541333330013112
62234523430040
7245405156400
oct47440027610
914631630026
105310001032
1122853a2406
121042385320
1366814b85b
14385319800
1521128d98c
hex13c802f88

5310001032 has 96 divisors (see below), whose sum is σ = 15509426400. Its totient is φ = 1510553856.

The previous prime is 5310001027. The next prime is 5310001043. The reversal of 5310001032 is 2301000135.

It is a happy number.

It is a super-2 number, since 2×53100010322 = 56392221919682130048, which contains 22 as substring.

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, 264319 + ... + 283697.

It is an arithmetic number, because the mean of its divisors is an integer number (161556525).

Almost surely, 25310001032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5310001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754713200).

5310001032 is an abundant number, since it is smaller than the sum of its proper divisors (10199425368).

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

5310001032 is a wasteful number, since it uses less digits than its factorization.

5310001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19635 (or 19624 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 5310001032 is about 72869.7538900743. The cubic root of 5310001032 is about 1744.6093746642.

Adding to 5310001032 its reverse (2301000135), we get a palindrome (7611001167).

The spelling of 5310001032 in words is "five billion, three hundred ten million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 233 294 392 466 588 699 932 1176 1398 1631 1864 2796 3262 4893 5592 6524 9786 11417 13048 19379 19572 22834 34251 38758 39144 45668 58137 68502 77516 91336 116274 135653 137004 155032 232548 271306 274008 406959 465096 542612 813918 949571 1085224 1627836 1899142 2848713 3255672 3798284 4515307 5697426 7596568 9030614 11394852 13545921 18061228 22789704 27091842 31607149 36122456 54183684 63214298 94821447 108367368 126428596 189642894 221250043 252857192 379285788 442500086 663750129 758571576 885000172 1327500258 1770000344 2655000516 5310001032