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111412421100 = 223252557222247
BaseRepresentation
bin110011111000010110…
…0101010000111101100
3101122120112010101212200
41213300230222013230
53311133034433400
6123103202501500
711022621645141
oct1476054520754
9348515111780
10111412421100
1143282452a82
1219713964890
13a677007236
14556ca0a3c8
152d710e2b00
hex19f0b2a1ec

111412421100 has 108 divisors (see below), whose sum is σ = 349844577264. Its totient is φ = 29656506240.

The previous prime is 111412421047. The next prime is 111412421111. The reversal of 111412421100 is 1124214111.

111412421100 is a `hidden beast` number, since 1 + 1 + 141 + 2 + 421 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 390177 + ... + 612423.

Almost surely, 2111412421100 is an apocalyptic number.

111412421100 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 111412421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174922288632).

111412421100 is an abundant number, since it is smaller than the sum of its proper divisors (238432156164).

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

111412421100 is a wasteful number, since it uses less digits than its factorization.

111412421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222824 (or 222814 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111412421100 its reverse (1124214111), we get a palindrome (112536635211).

The spelling of 111412421100 in words is "one hundred eleven billion, four hundred twelve million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 557 900 1114 1671 2228 2785 3342 5013 5570 6684 8355 10026 11140 13925 16710 20052 25065 27850 33420 41775 50130 55700 83550 100260 125325 167100 222247 250650 444494 501300 666741 888988 1111235 1333482 2000223 2222470 2666964 3333705 4000446 4444940 5556175 6667410 8000892 10001115 11112350 13334820 16668525 20002230 22224700 33337050 40004460 50005575 66674100 100011150 123791579 200022300 247583158 371374737 495166316 618957895 742749474 1114124211 1237915790 1485498948 1856873685 2228248422 2475831580 3094789475 3713747370 4456496844 5570621055 6189578950 7427494740 9284368425 11141242110 12379157900 18568736850 22282484220 27853105275 37137473700 55706210550 111412421100