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1113303537424 = 2413210321972
BaseRepresentation
bin10000001100110110000…
…011111101011100010000
310221102122001000111021001
4100030312003331130100
5121220021201144144
62211240010311344
7143301461633641
oct20146603753420
93842561014231
101113303537424
1139a170906621
1215b923128554
1380ca4015c00
143bc542876c8
151de5d8aebd4
hex103360fd710

1113303537424 has 135 divisors (see below), whose sum is σ = 2370644534943. Its totient is φ = 506260774656.

The previous prime is 1113303537419. The next prime is 1113303537427. The reversal of 1113303537424 is 4247353033111.

The square root of 1113303537424 is 1055132.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 69310039824 + 1043993497600 = 263268^2 + 1021760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1113303537427) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5651286894 + ... + 5651287090.

Almost surely, 21113303537424 is an apocalyptic number.

1113303537424 is the 1055132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113303537424

1113303537424 is an abundant number, since it is smaller than the sum of its proper divisors (1257340997519).

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

1113303537424 is an equidigital number, since it uses as much as digits as its factorization.

1113303537424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 1113303537424 in words is "one trillion, one hundred thirteen billion, three hundred three million, five hundred thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 103 104 169 197 206 208 338 394 412 676 788 824 1339 1352 1576 1648 2561 2678 2704 3152 5122 5356 10244 10609 10712 17407 20291 20488 21218 21424 33293 34814 38809 40582 40976 42436 66586 69628 77618 81164 84872 133172 137917 139256 155236 162328 169744 263783 266344 275834 278512 310472 324656 504517 527566 532688 551668 620944 1009034 1055132 1103336 1792921 2018068 2089973 2110264 2206672 3429179 3585842 3997327 4036136 4179946 4220528 6558721 6858358 7171684 7994654 8072272 8359892 13117442 13716716 14343368 15989308 16719784 26234884 27169649 27433432 28686736 31978616 33439568 51965251 52469768 54339298 54866864 63957232 103930502 104939536 108678596 207861004 217357192 353205437 411724681 415722008 434714384 675548263 706410874 823449362 831444016 1351096526 1412821748 1646898724 2702193052 2825643496 3293797448 5352420853 5404386104 5651286992 6587594896 10704841706 10808772208 21409683412 42819366824 69581471089 85638733648 139162942178 278325884356 556651768712 1113303537424