Search a number
-
+
11013331032 = 233211103135007
BaseRepresentation
bin10100100000111001…
…00001100001011000
31001102112112011222100
422100130201201120
5140023403043112
65020501523400
7536630524554
oct122034414130
931375464870
1011013331032
114741813680
122174413560
131066914432
14766980864
15446d242dc
hex290721858

11013331032 has 96 divisors (see below), whose sum is σ = 32855546880. Its totient is φ = 3304946880.

The previous prime is 11013331027. The next prime is 11013331067. The reversal of 11013331032 is 23013331011.

It is a happy number.

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 = 11013330996 and 11013331014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14073 + ... + 149079.

It is an arithmetic number, because the mean of its divisors is an integer number (342245280).

Almost surely, 211013331032 is an apocalyptic number.

11013331032 is a gapful number since it is divisible by the number (12) 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 11013331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427773440).

11013331032 is an abundant number, since it is smaller than the sum of its proper divisors (21842215848).

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

11013331032 is a wasteful number, since it uses less digits than its factorization.

11013331032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135133 (or 135126 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11013331032 its reverse (23013331011), we get a palindrome (34026662043).

The spelling of 11013331032 in words is "eleven billion, thirteen million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 103 132 198 206 264 309 396 412 618 792 824 927 1133 1236 1854 2266 2472 3399 3708 4532 6798 7416 9064 10197 13596 20394 27192 40788 81576 135007 270014 405021 540028 810042 1080056 1215063 1485077 1620084 2430126 2970154 3240168 4455231 4860252 5940308 8910462 9720504 11880616 13365693 13905721 17820924 26731386 27811442 35641848 41717163 53462772 55622884 83434326 106925544 111245768 125151489 152962931 166868652 250302978 305925862 333737304 458888793 500605956 611851724 917777586 1001211912 1223703448 1376666379 1835555172 2753332758 3671110344 5506665516 11013331032