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1130243040520 = 2351131577143609
BaseRepresentation
bin10000011100100111101…
…111000010010100001000
311000001100120200102000121
4100130213233002110020
5122004214204244040
62223120530513024
7144441322221226
oct20344757022410
94001316612017
101130243040520
113a6373804a60
12163070135774
1382773617119
143c9bdcd9b16
151e600ad6c4a
hex10727bc2508

1130243040520 has 128 divisors (see below), whose sum is σ = 2868707404800. Its totient is φ = 397047398400.

The previous prime is 1130243040517. The next prime is 1130243040583. The reversal of 1130243040520 is 250403420311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7798476 + ... + 7942084.

It is an arithmetic number, because the mean of its divisors is an integer number (22411776600).

Almost surely, 21130243040520 is an apocalyptic number.

1130243040520 is a gapful number since it is divisible by the number (10) 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 1130243040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434353702400).

1130243040520 is an abundant number, since it is smaller than the sum of its proper divisors (1738464364280).

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

1130243040520 is a wasteful number, since it uses less digits than its factorization.

1130243040520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144239 (or 144235 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1130243040520 its reverse (250403420311), we get a palindrome (1380646460831).

The spelling of 1130243040520 in words is "one trillion, one hundred thirty billion, two hundred forty-three million, forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 577 620 682 1154 1240 1364 1705 2308 2728 2885 3410 4616 5770 6347 6820 11540 12694 13640 17887 23080 25388 31735 35774 50776 63470 71548 89435 126940 143096 143609 178870 196757 253880 287218 357740 393514 574436 715480 718045 787028 983785 1148872 1436090 1574056 1579699 1967570 2872180 3159398 3935140 4451879 5744360 6318796 7870280 7898495 8903758 12637592 15796990 17807516 22259395 31593980 35615032 44518790 48970669 63187960 82862393 89037580 97941338 165724786 178075160 195882676 244853345 331449572 391765352 414311965 489706690 662899144 828623930 911486323 979413380 1657247860 1822972646 1958826760 2568734183 3314495720 3645945292 4557431615 5137468366 7291890584 9114863230 10274936732 12843670915 18229726460 20549873464 25687341830 28256076013 36459452920 51374683660 56512152026 102749367320 113024304052 141280380065 226048608104 282560760130 565121520260 1130243040520