Search a number
-
+
11200221012 = 2233137978389
BaseRepresentation
bin10100110111001010…
…11100111101010100
31001220120012011211110
422123211130331110
5140414224033022
65051215335020
7544360210401
oct123345347524
931816164743
1011200221012
114828261902
122206b21470
13109655b416
1478370d2a8
1545843e00c
hex29b95cf54

11200221012 has 96 divisors (see below), whose sum is σ = 27994946560. Its totient is φ = 3478671360.

The previous prime is 11200221007. The next prime is 11200221017. The reversal of 11200221012 is 21012200211.

It is an interprime number because it is at equal distance from previous prime (11200221007) and next prime (11200221017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200221017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330914 + ... + 1339302.

Almost surely, 211200221012 is an apocalyptic number.

11200221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11200221012 is an abundant number, since it is smaller than the sum of its proper divisors (16794725548).

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

11200221012 is a wasteful number, since it uses less digits than its factorization.

11200221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561 (or 8559 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11200221012 its reverse (21012200211), we get a palindrome (32212421223).

The spelling of 11200221012 in words is "eleven billion, two hundred million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 31 37 62 74 93 97 111 124 148 186 194 222 291 372 388 444 582 1147 1164 2294 3007 3441 3589 4588 6014 6882 7178 8389 9021 10767 12028 13764 14356 16778 18042 21534 25167 33556 36084 43068 50334 100668 111259 222518 260059 310393 333777 445036 520118 620786 667554 780177 813733 931179 1040236 1241572 1335108 1560354 1627466 1862358 2441199 3120708 3254932 3724716 4882398 9622183 9764796 19244366 25225723 28866549 30108121 38488732 50451446 57733098 60216242 75677169 90324363 100902892 115466196 120432484 151354338 180648726 302708676 361297452 933351751 1866703502 2800055253 3733407004 5600110506 11200221012