Search a number
-
+
11310321300 = 22352237123087
BaseRepresentation
bin10101000100010010…
…11100111010010100
31002012020100212000220
422202021130322110
5141130420240200
65110151234340
7550165100445
oct124211347224
932166325026
1011310321300
114884421883
1222379789b0
1310b32ca315
147941ad2cc
15462e3b4a0
hex2a225ce94

11310321300 has 144 divisors (see below), whose sum is σ = 34629783552. Its totient is φ = 2844195200.

The previous prime is 11310321241. The next prime is 11310321331. The reversal of 11310321300 is 312301311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11310321300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478357 + ... + 501443.

It is an arithmetic number, because the mean of its divisors is an integer number (240484608).

Almost surely, 211310321300 is an apocalyptic number.

11310321300 is a gapful number since it is divisible by the number (10) 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 11310321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314891776).

11310321300 is an abundant number, since it is smaller than the sum of its proper divisors (23319462252).

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

11310321300 is a wasteful number, since it uses less digits than its factorization.

11310321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23198 (or 23191 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11310321300 its reverse (312301311), we get a palindrome (11622622611).

The spelling of 11310321300 in words is "eleven billion, three hundred ten million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 71 75 92 100 115 138 142 150 213 230 276 284 300 345 355 426 460 575 690 710 852 1065 1150 1380 1420 1633 1725 1775 2130 2300 3266 3450 3550 4260 4899 5325 6532 6900 7100 8165 9798 10650 16330 19596 21300 23087 24495 32660 40825 46174 48990 69261 81650 92348 97980 115435 122475 138522 163300 230870 244950 277044 346305 461740 489900 531001 577175 692610 1062002 1154350 1385220 1593003 1639177 1731525 2124004 2308700 2655005 3186006 3278354 3463050 4917531 5310010 6372012 6556708 6926100 7965015 8195885 9835062 10620020 13275025 15930030 16391770 19670124 24587655 26550050 31860060 32783540 37701071 39825075 40979425 49175310 53100100 75402142 79650150 81958850 98350620 113103213 122938275 150804284 159300300 163917700 188505355 226206426 245876550 377010710 452412852 491753100 565516065 754021420 942526775 1131032130 1885053550 2262064260 2827580325 3770107100 5655160650 11310321300