Search a number
-
+
11033001320 = 23511191319737
BaseRepresentation
bin10100100011001111…
…00011110101101000
31001110220112112112112
422101213203311220
5140043422020240
65022443301452
7540256651415
oct122147436550
931426475475
1011033001320
114751929210
12217ab1a888
13106aa10763
1476942110c
1544890c665
hex2919e3d68

11033001320 has 64 divisors (see below), whose sum is σ = 28506340800. Its totient is φ = 3800839680.

The previous prime is 11033001293. The next prime is 11033001347. The reversal of 11033001320 is 2310033011.

11033001320 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 (11033001293) and next prime (11033001347).

It is a junction number, because it is equal to n+sod(n) for n = 11033001295 and 11033001304.

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 15 ways as a sum of consecutive naturals, for example, 651509 + ... + 668228.

It is an arithmetic number, because the mean of its divisors is an integer number (445411575).

Almost surely, 211033001320 is an apocalyptic number.

11033001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11033001320 is an abundant number, since it is smaller than the sum of its proper divisors (17473339480).

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

11033001320 is a wasteful number, since it uses less digits than its factorization.

11033001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319778 (or 1319774 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 11033001320 its reverse (2310033011), we get a palindrome (13343034331).

The spelling of 11033001320 in words is "eleven billion, thirty-three million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 1319737 2639474 5278948 6598685 10557896 13197370 14517107 25075003 26394740 29034214 50150006 52789480 58068428 72585535 100300012 116136856 125375015 145171070 200600024 250750030 275825033 290342140 501500060 551650066 580684280 1003000120 1103300132 1379125165 2206600264 2758250330 5516500660 11033001320