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2013243024 = 2431361227233
BaseRepresentation
bin111011111111111…
…1010011010010000
312012022021100020110
41313333322122100
513110342234044
6531434441320
7100614166122
oct16777723220
95168240213
102013243024
11943472311
12482293240
13261133080
14151545212
15bbb2b6b9
hex77ffa690

2013243024 has 160 divisors (see below), whose sum is σ = 5742382464. Its totient is φ = 604016640.

The previous prime is 2013243019. The next prime is 2013243053. The reversal of 2013243024 is 4203423102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8640412 + ... + 8640644.

Almost surely, 22013243024 is an apocalyptic number.

2013243024 is a gapful number since it is divisible by the number (24) 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 2013243024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871191232).

2013243024 is an abundant number, since it is smaller than the sum of its proper divisors (3729139440).

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

2013243024 is a wasteful number, since it uses less digits than its factorization.

2013243024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2013243024 is about 44869.1767698049. The cubic root of 2013243024 is about 1262.6957953237.

Adding to 2013243024 its reverse (4203423102), we get a palindrome (6216666126).

The spelling of 2013243024 in words is "two billion, thirteen million, two hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 227 233 244 312 366 454 466 488 624 681 699 732 793 908 932 976 1362 1398 1464 1586 1816 1864 2379 2724 2796 2928 2951 3029 3172 3632 3728 4758 5448 5592 5902 6058 6344 8853 9087 9516 10896 11184 11804 12116 12688 13847 14213 17706 18174 19032 23608 24232 27694 28426 35412 36348 38064 41541 42639 47216 48464 52891 55388 56852 70824 72696 83082 85278 105782 110776 113704 141648 145392 158673 166164 170556 180011 184769 211564 221552 227408 317346 332328 341112 360022 369538 423128 540033 554307 634692 664656 682224 687583 720044 739076 846256 1080066 1108614 1269384 1375166 1440088 1478152 2062749 2160132 2217228 2538768 2750332 2880176 2956304 3226351 4125498 4320264 4434456 5500664 6452702 8250996 8640528 8868912 9679053 11001328 12905404 16501992 19358106 25810808 33003984 38716212 41942563 51621616 77432424 83885126 125827689 154864848 167770252 251655378 335540504 503310756 671081008 1006621512 2013243024