Search a number
-
+
11322113010 = 23513296116411
BaseRepresentation
bin10101000101101100…
…11011101111110010
31002020001112221012220
422202312123233302
5141141430104020
65111252101510
7550400241555
oct124266335762
932201487186
1011322113010
11489004609a
12223b904896
1310b5898570
1479599c69c
15463eba240
hex2a2d9bbf2

11322113010 has 128 divisors (see below), whose sum is σ = 30770530560. Its totient is φ = 2646604800.

The previous prime is 11322113003. The next prime is 11322113069. The reversal of 11322113010 is 1031122311.

It is a happy number.

It is a super-2 number, since 2×113221130102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681705 + ... + 698115.

It is an arithmetic number, because the mean of its divisors is an integer number (240394770).

Almost surely, 211322113010 is an apocalyptic number.

11322113010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322113010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385265280).

11322113010 is an abundant number, since it is smaller than the sum of its proper divisors (19448417550).

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

11322113010 is a wasteful number, since it uses less digits than its factorization.

11322113010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16524.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11322113010 its reverse (1031122311), we get a palindrome (12353235321).

The spelling of 11322113010 in words is "eleven billion, three hundred twenty-two million, one hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 61 65 78 87 122 130 145 174 183 195 290 305 366 377 390 435 610 754 793 870 915 1131 1586 1769 1830 1885 2262 2379 3538 3770 3965 4758 5307 5655 7930 8845 10614 11310 11895 16411 17690 22997 23790 26535 32822 45994 49233 53070 68991 82055 98466 114985 137982 164110 213343 229970 246165 344955 426686 475919 492330 640029 689910 951838 1001071 1066715 1280058 1427757 2002142 2133430 2379595 2855514 3003213 3200145 4759190 5005355 6006426 6186947 6400290 7138785 10010710 12373894 13013923 14277570 15016065 18560841 26027846 29031059 30032130 30934735 37121682 39041769 58062118 61869470 65069615 78083538 87093177 92804205 130139230 145155295 174186354 185608410 195208845 290310590 377403767 390417690 435465885 754807534 870931770 1132211301 1887018835 2264422602 3774037670 5661056505 11322113010