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11122343000 = 2353173239269
BaseRepresentation
bin10100101101111000…
…10111110001011000
31001201010122120021122
422112330113301120
5140234304434000
65035354224412
7542423232656
oct122674276130
931633576248
1011122343000
1147982aaa0a
1221a4a25108
131083391b62
14777239dd6
154516a9085
hex296f17c58

11122343000 has 128 divisors (see below), whose sum is σ = 26383968000. Its totient is φ = 4388339200.

The previous prime is 11122342963. The next prime is 11122343003. The reversal of 11122343000 is 34322111.

It is a self number, because there is not a number n which added to its sum of digits gives 11122343000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122343003) 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, 41346866 + ... + 41347134.

It is an arithmetic number, because the mean of its divisors is an integer number (206124750).

Almost surely, 211122343000 is an apocalyptic number.

11122343000 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 11122343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191984000).

11122343000 is an abundant number, since it is smaller than the sum of its proper divisors (15261625000).

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

11122343000 is a wasteful number, since it uses less digits than its factorization.

11122343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11122343000 its reverse (34322111), we get a palindrome (11156665111).

The spelling of 11122343000 in words is "eleven billion, one hundred twenty-two million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 173 200 239 250 269 346 478 500 538 692 865 956 1000 1076 1195 1345 1384 1730 1912 2152 2390 2690 3460 4325 4780 5380 5975 6725 6920 8650 9560 10760 11950 13450 17300 21625 23900 26900 29875 33625 34600 41347 43250 46537 47800 53800 59750 64291 67250 82694 86500 93074 119500 128582 134500 165388 173000 186148 206735 232685 239000 257164 269000 321455 330776 372296 413470 465370 514328 642910 826940 930740 1033675 1163425 1285820 1607275 1653880 1861480 2067350 2326850 2571640 3214550 4134700 4653700 5168375 5817125 6429100 8036375 8269400 9307400 10336750 11122343 11634250 12858200 16072750 20673500 22244686 23268500 32145500 41347000 44489372 46537000 55611715 64291000 88978744 111223430 222446860 278058575 444893720 556117150 1112234300 1390292875 2224468600 2780585750 5561171500 11122343000