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1030116516 = 2231113261757
BaseRepresentation
bin111101011001100…
…101010010100100
32122210100100012120
4331121211102210
54102202212031
6250114545540
734345563102
oct7531452244
92583310176
101030116516
11489523870
12248b982b0
13135553200
149ab4ac72
156067ea96
hex3d6654a4

1030116516 has 144 divisors (see below), whose sum is σ = 2889690048. Its totient is φ = 283046400.

The previous prime is 1030116457. The next prime is 1030116517. The reversal of 1030116516 is 6156110301.

1030116516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10301165162 = 2122280073071956512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030116517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1360410 + ... + 1361166.

It is an arithmetic number, because the mean of its divisors is an integer number (20067292).

Almost surely, 21030116516 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 1030116516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444845024).

1030116516 is an abundant number, since it is smaller than the sum of its proper divisors (1859573532).

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

1030116516 is a wasteful number, since it uses less digits than its factorization.

1030116516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1030116516 is about 32095.4282725749. The cubic root of 1030116516 is about 1009.9397134228.

Adding to 1030116516 its reverse (6156110301), we get a palindrome (7186226817).

The spelling of 1030116516 in words is "one billion, thirty million, one hundred sixteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 61 66 78 122 132 143 156 169 183 244 286 338 366 429 507 572 671 676 732 757 793 858 1014 1342 1514 1586 1716 1859 2013 2028 2271 2379 2684 3028 3172 3718 4026 4542 4758 5577 7436 8052 8327 8723 9084 9516 9841 10309 11154 16654 17446 19682 20618 22308 24981 26169 29523 30927 33308 34892 39364 41236 46177 49962 52338 59046 61854 92354 99924 104676 108251 113399 118092 123708 127933 138531 184708 216502 226798 255866 277062 324753 340197 383799 433004 453596 507947 511732 554124 600301 649506 680394 767598 1015894 1200602 1299012 1360788 1407263 1523841 1535196 1800903 2031788 2401204 2814526 3047682 3601806 4221789 5629052 6095364 6603311 7203612 7803913 8443578 13206622 15607826 16887156 19809933 23411739 26413244 31215652 39619866 46823478 79239732 85843043 93646956 171686086 257529129 343372172 515058258 1030116516