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1300050153424 = 241127923413631
BaseRepresentation
bin10010111010110001000…
…001110000111111010000
311121021122201201111210101
4102322301001300333100
5132300000314402144
62433122414342144
7162632311655311
oct22726101607720
94537581644711
101300050153424
11461391468200
1218bb601ba954
1395795607619
1446ccc0c2608
1523c3d5306d4
hex12eb1070fd0

1300050153424 has 120 divisors (see below), whose sum is σ = 2805666536960. Its totient is φ = 583041888000.

The previous prime is 1300050153379. The next prime is 1300050153427. The reversal of 1300050153424 is 4243510500031.

It is a junction number, because it is equal to n+sod(n) for n = 1300050153392 and 1300050153401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300050153427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358040089 + ... + 358043719.

Almost surely, 21300050153424 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 1300050153424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402833268480).

1300050153424 is an abundant number, since it is smaller than the sum of its proper divisors (1505616383536).

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

1300050153424 is a wasteful number, since it uses less digits than its factorization.

1300050153424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6064 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 1300050153424 its reverse (4243510500031), we get a palindrome (5543560653455).

The spelling of 1300050153424 in words is "one trillion, three hundred billion, fifty million, one hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 79 88 121 158 176 242 316 484 632 869 968 1264 1738 1936 2341 3476 3631 4682 6952 7262 9364 9559 13904 14524 18728 19118 25751 29048 37456 38236 39941 51502 58096 76472 79882 103004 152944 159764 184939 206008 283261 286849 319528 369878 412016 439351 566522 573698 639056 739756 878702 1133044 1147396 1479512 1757404 2034329 2266088 2294792 2959024 3155339 3514808 4068658 4532176 4589584 6310678 7029616 8137316 8500171 12621356 16274632 17000342 22377619 25242712 32549264 34000684 34708729 44755238 50485424 68001368 69417458 89510476 93501881 136002736 138834916 179020952 187003762 277669832 358041904 374007524 555339664 671513509 748015048 1028520691 1343027018 1496030096 2057041382 2686054036 4114082764 5372108072 7386648599 8228165528 10744216144 14773297198 16456331056 29546594396 59093188792 81253134589 118186377584 162506269178 325012538356 650025076712 1300050153424