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11132100223232 = 281710359341879
BaseRepresentation
bin1010000111111110010011…
…1000010010000100000000
31110102012220012112022120212
42201333210320102010000
52424342020124120412
635402003301453252
72226160551434432
oct241774470220400
943365805468525
1011132100223232
1136021083a991a
1212b9585a11228
136299a2464211
142a6b21948652
15144888acb222
hexa1fe4e12100

11132100223232 has 144 divisors (see below), whose sum is σ = 23796871338240. Its totient is φ = 5178902839296.

The previous prime is 11132100223159. The next prime is 11132100223261. The reversal of 11132100223232 is 23232200123111.

It is a junction number, because it is equal to n+sod(n) for n = 11132100223198 and 11132100223207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265794869 + ... + 265836747.

It is an arithmetic number, because the mean of its divisors is an integer number (165256050960).

Almost surely, 211132100223232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132100223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11898435669120).

11132100223232 is an abundant number, since it is smaller than the sum of its proper divisors (12664771115008).

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

11132100223232 is a wasteful number, since it uses less digits than its factorization.

11132100223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42608 (or 42594 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 11132100223232 its reverse (23232200123111), we get a palindrome (34364300346343).

The spelling of 11132100223232 in words is "eleven trillion, one hundred thirty-two billion, one hundred million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 103 128 136 206 256 272 412 544 593 824 1088 1186 1648 1751 2176 2372 3296 3502 4352 4744 6592 7004 9488 10081 13184 14008 18976 20162 26368 28016 37952 40324 41879 56032 61079 75904 80648 83758 112064 122158 151808 161296 167516 224128 244316 322592 335032 448256 488632 645184 670064 711943 977264 1038343 1290368 1340128 1423886 1954528 2076686 2580736 2680256 2847772 3909056 4153372 4313537 5360512 5695544 7818112 8306744 8627074 10721024 11391088 15636224 16613488 17254148 22782176 24834247 33226976 34508296 45564352 49668494 66453952 69016592 73330129 91128704 99336988 132907904 138033184 146660258 182257408 198673976 265815808 276066368 293320516 397347952 422182199 552132736 586641032 794695904 844364398 1104265472 1173282064 1589391808 1688728796 2346564128 2557927441 3178783616 3377457592 4693128256 5115854882 6357567232 6754915184 9386256512 10231709764 13509830368 18772513024 20463419528 27019660736 40926839056 43484766497 54039321472 81853678112 86969532994 108078642944 163707356224 173939065988 327414712448 347878131976 654829424896 695756263952 1391512527904 2783025055808 5566050111616 11132100223232