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11342231120 = 24511107163739
BaseRepresentation
bin10101001000000110…
…01011011001010000
31002021110102001002002
422210003023121100
5141212102343440
65113251213132
7551033242133
oct124403133120
932243361062
1011342231120
1148a0437130
1222465a71a8
1310b9ac067c
1479851821a
15465b41115
hex2a40cb650

11342231120 has 160 divisors (see below), whose sum is σ = 29254556160. Its totient is φ = 4055339520.

The previous prime is 11342231107. The next prime is 11342231137. The reversal of 11342231120 is 2113224311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11342231092 and 11342231101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15347711 + ... + 15348449.

It is an arithmetic number, because the mean of its divisors is an integer number (182840976).

Almost surely, 211342231120 is an apocalyptic number.

11342231120 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 11342231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627278080).

11342231120 is an abundant number, since it is smaller than the sum of its proper divisors (17912325040).

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

11342231120 is a wasteful number, since it uses less digits than its factorization.

11342231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11342231120 its reverse (2113224311), we get a palindrome (13455455431).

The spelling of 11342231120 in words is "eleven billion, three hundred forty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 107 110 163 176 214 220 326 428 440 535 652 739 815 856 880 1070 1177 1304 1478 1630 1712 1793 2140 2354 2608 2956 3260 3586 3695 4280 4708 5885 5912 6520 7172 7390 8129 8560 8965 9416 11770 11824 13040 14344 14780 16258 17441 17930 18832 23540 28688 29560 32516 34882 35860 40645 47080 59120 65032 69764 71720 79073 81290 87205 94160 120457 130064 139528 143440 158146 162580 174410 191851 240914 279056 316292 325160 348820 383702 395365 481828 602285 632584 650320 697640 767404 790730 869803 959255 963656 1204570 1265168 1325027 1395280 1534808 1581460 1739606 1918510 1927312 2409140 2650054 3069616 3162920 3479212 3837020 4349015 4818280 5300108 6325840 6625135 6958424 7674040 8698030 9636560 10600216 12888899 13250270 13916848 15348080 17396060 21200432 25777798 26500540 34792120 51555596 53001080 64444495 69584240 103111192 106002160 128888990 141777889 206222384 257777980 283555778 515555960 567111556 708889445 1031111920 1134223112 1417778890 2268446224 2835557780 5671115560 11342231120