Search a number
-
+
11013353352 = 23331071134217
BaseRepresentation
bin10100100000111001…
…00110111110001000
31001102112120022121000
422100130212332020
5140023404301402
65020502215000
7536630646621
oct122034467610
931375508530
1011013353352
114741829421
122174424460
131066921641
14766988a48
15446d2ac1c
hex290726f88

11013353352 has 128 divisors (see below), whose sum is σ = 31159209600. Its totient is φ = 3603769344.

The previous prime is 11013353341. The next prime is 11013353357. The reversal of 11013353352 is 25335331011.

11013353352 is a `hidden beast` number, since 110 + 13 + 3 + 533 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11013353357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2609548 + ... + 2613764.

It is an arithmetic number, because the mean of its divisors is an integer number (243431325).

Almost surely, 211013353352 is an apocalyptic number.

11013353352 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 11013353352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579604800).

11013353352 is an abundant number, since it is smaller than the sum of its proper divisors (20145856248).

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

11013353352 is a wasteful number, since it uses less digits than its factorization.

11013353352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 11013353352 its reverse (25335331011), we get a palindrome (36348684363).

The spelling of 11013353352 in words is "eleven billion, thirteen million, three hundred fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 113 214 216 226 321 339 428 452 642 678 856 904 963 1017 1284 1356 1926 2034 2568 2712 2889 3051 3852 4068 4217 5778 6102 7704 8136 8434 11556 12091 12204 12651 16868 23112 24182 24408 25302 33736 36273 37953 48364 50604 72546 75906 96728 101208 108819 113859 145092 151812 217638 227718 290184 303624 326457 435276 451219 455436 476521 652914 870552 902438 910872 953042 1305828 1353657 1429563 1804876 1906084 2611656 2707314 2859126 3609752 3812168 4060971 4288689 5414628 5718252 8121942 8577378 10829256 11436504 12182913 12866067 16243884 17154756 24365826 25732134 32487768 34309512 48731652 50987747 51464268 97463304 101975494 102928536 152963241 203950988 305926482 407901976 458889723 611852964 917779446 1223705928 1376669169 1835558892 2753338338 3671117784 5506676676 11013353352