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11320223344300 = 22521375791912517
BaseRepresentation
bin1010010010111011000111…
…1001000010011010101100
31111002012110211101001002101
42210232301321002122230
52440432304134004200
640024234441104444
72245600454535313
oct244566171023254
944065424331071
1011320223344300
113674974a620a2
121329b27a88124
13641652c99280
142b1c8a4db27a
151496e950026a
hexa4bb1e426ac

11320223344300 has 144 divisors (see below), whose sum is σ = 26520380434240. Its totient is φ = 4169377981440.

The previous prime is 11320223344279. The next prime is 11320223344327. The reversal of 11320223344300 is 344332202311.

It is a happy 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, 904381642 + ... + 904394158.

Almost surely, 211320223344300 is an apocalyptic number.

11320223344300 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 11320223344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260190217120).

11320223344300 is an abundant number, since it is smaller than the sum of its proper divisors (15200157089940).

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

11320223344300 is a wasteful number, since it uses less digits than its factorization.

11320223344300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14220 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 11320223344300 its reverse (344332202311), we get a palindrome (11664555546611).

The spelling of 11320223344300 in words is "eleven trillion, three hundred twenty billion, two hundred twenty-three million, three hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 757 919 1300 1514 1838 3028 3676 3785 4595 7570 9190 9841 11947 12517 15140 18380 18925 19682 22975 23894 25034 37850 39364 45950 47788 49205 50068 59735 62585 75700 91900 98410 119470 125170 162721 196820 238940 246025 250340 298675 312925 325442 492050 597350 625850 650884 695683 813605 984100 1194700 1251700 1391366 1627210 2782732 3254420 3478415 4068025 6956830 8136050 9043879 9475369 11503123 13913660 16272100 17392075 18087758 18950738 23006246 34784150 36175516 37901476 45219395 46012492 47376845 57515615 69568300 90438790 94753690 115031230 123179797 149540599 180877580 189507380 226096975 230062460 236884225 246359594 287578075 299081198 452193950 473768450 492719188 575156150 598162396 615898985 747702995 904387900 947536900 1150312300 1231797970 1495405990 2463595940 2990811980 3079494925 3738514975 6158989850 7477029950 8707864111 12317979700 14954059900 17415728222 34831456444 43539320555 87078641110 113202233443 174157282220 217696602775 226404466886 435393205550 452808933772 566011167215 870786411100 1132022334430 2264044668860 2830055836075 5660111672150 11320223344300