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11033013420 = 223251113428633
BaseRepresentation
bin10100100011001111…
…00110110010101100
31001110220120011010200
422101213212302230
5140043422412140
65022443433500
7540260031612
oct122147466254
931426504120
1011033013420
114751937310
12217ab25890
13106aa16110
147694256b2
15448911030
hex2919e6cac

11033013420 has 144 divisors (see below), whose sum is σ = 39317739552. Its totient is φ = 2468920320.

The previous prime is 11033013419. The next prime is 11033013421. The reversal of 11033013420 is 2431033011.

11033013420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11033013419) and next prime (11033013421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11033013393 and 11033013402.

It is not an unprimeable number, because it can be changed into a prime (11033013421) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 188577 + ... + 240056.

It is an arithmetic number, because the mean of its divisors is an integer number (273039858).

Almost surely, 211033013420 is an apocalyptic number.

11033013420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11033013420 is an abundant number, since it is smaller than the sum of its proper divisors (28284726132).

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

11033013420 is a wasteful number, since it uses less digits than its factorization.

11033013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428672 (or 428667 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11033013420 its reverse (2431033011), we get a palindrome (13464046431).

The spelling of 11033013420 in words is "eleven billion, thirty-three million, thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 428633 857266 1285899 1714532 2143165 2571798 3857697 4286330 4714963 5143596 5572229 6429495 7715394 8572660 9429926 11144458 12858990 14144889 15430788 16716687 18859852 19288485 22288916 23574815 25717980 27861145 28289778 33433374 38576970 42434667 47149630 50150061 55722290 56579556 61294519 66866748 70724445 77153940 83583435 84869334 94299260 100300122 111444580 122589038 141448890 167166870 169738668 183883557 200600244 212173335 245178076 250750305 282897780 306472595 334333740 367767114 424346670 501500610 551650671 612945190 735534228 848693340 919417785 1003001220 1103301342 1225890380 1838835570 2206602684 2758253355 3677671140 5516506710 11033013420