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11122240132100 = 2252349663748017
BaseRepresentation
bin1010000111011001100100…
…1011000001010000000100
31110101021110001000210100102
42201312121023001100010
52424211321433211400
635353253033503232
72225361323153156
oct241663113012004
943337401023312
1011122240132100
1135a8a08664479
1212b7693871b18
13628a90751776
142a6468204ad6
151444ad1579d5
hexa1d992c1404

11122240132100 has 72 divisors (see below), whose sum is σ = 24208567609800. Its totient is φ = 4435387729920.

The previous prime is 11122240132063. The next prime is 11122240132141. The reversal of 11122240132100 is 123104222111.

It can be written as a sum of positive squares in 12 ways, for example, as 7105775223556 + 4016464908544 = 2665666^2 + 2004112^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231607292 + ... + 231655308.

Almost surely, 211122240132100 is an apocalyptic number.

11122240132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122240132100 is an abundant number, since it is smaller than the sum of its proper divisors (13086327477700).

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

11122240132100 is a wasteful number, since it uses less digits than its factorization.

11122240132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55017 (or 55010 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11122240132100 its reverse (123104222111), we get a palindrome (11245344354211).

The spelling of 11122240132100 in words is "eleven trillion, one hundred twenty-two billion, two hundred forty million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 349 698 1396 1745 3490 6637 6980 8725 13274 17450 26548 33185 34900 48017 66370 96034 132740 165925 192068 240085 331850 480170 663700 960340 1200425 2316313 2400850 4632626 4801700 9265252 11581565 16757933 23163130 33515866 46326260 57907825 67031732 83789665 115815650 167579330 231631300 318688829 335158660 418948325 637377658 837896650 1274755316 1593444145 1675793300 3186888290 6373776580 7967220725 15934441450 31868882900 111222401321 222444802642 444889605284 556112006605 1112224013210 2224448026420 2780560033025 5561120066050 11122240132100