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1030313123296 = 252310397113997
BaseRepresentation
bin11101111111000110111…
…00101001110111100000
310122111102021220122021021
432333203130221313200
5113340040124421141
62105152545535224
7134303056022542
oct16774334516740
93574367818237
101030313123296
11367a53997106
12147821944514
13762094a4aa2
1437c202bd692
151bc02ae26d1
hexefe3729de0

1030313123296 has 96 divisors (see below), whose sum is σ = 2139525093888. Its totient is φ = 487437012480.

The previous prime is 1030313123249. The next prime is 1030313123309. The reversal of 1030313123296 is 6923213130301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73602570 + ... + 73616566.

It is an arithmetic number, because the mean of its divisors is an integer number (22286719728).

Almost surely, 21030313123296 is an apocalyptic number.

1030313123296 is a gapful number since it is divisible by the number (16) 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 1030313123296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069762546944).

1030313123296 is an abundant number, since it is smaller than the sum of its proper divisors (1109211970592).

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

1030313123296 is a wasteful number, since it uses less digits than its factorization.

1030313123296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15104 (or 15096 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

Adding to 1030313123296 its reverse (6923213130301), we get a palindrome (7953526253597).

The spelling of 1030313123296 in words is "one trillion, thirty billion, three hundred thirteen million, one hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 103 184 206 368 412 736 824 971 1648 1942 2369 3296 3884 4738 7768 9476 13997 15536 18952 22333 27994 31072 37904 44666 55988 75808 89332 100013 111976 178664 200026 223952 321931 357328 400052 447904 643862 714656 800104 1287724 1441691 1600208 2300299 2575448 2883382 3200416 4600598 5150896 5766764 9201196 10301792 11533528 13591087 18402392 23067056 27182174 33158893 36804784 46134112 54364348 66317786 73609568 108728696 132635572 217457392 265271144 312595001 434914784 530542288 625190002 1061084576 1250380004 1399881961 2500760008 2799763922 5001520016 5599527844 10003040032 11199055688 22398111376 32197285103 44796222752 64394570206 128789140412 257578280824 515156561648 1030313123296