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11112414120 = 23325231342079
BaseRepresentation
bin10100101100101100…
…11111101110101000
31001200102222010102100
422112112133232220
5140224234222440
65034401333400
7542242650543
oct122626375650
931612863370
1011112414120
114792739225
1221a1637260
1310812c6792
14775bb385a
15450897230
hex29659fba8

11112414120 has 96 divisors (see below), whose sum is σ = 37685606400. Its totient is φ = 2834468736.

The previous prime is 11112414113. The next prime is 11112414127. The reversal of 11112414120 is 2141421111.

11112414120 is a `hidden beast` number, since 1 + 1 + 11 + 241 + 412 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11112414113) and next prime (11112414127).

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

It is a junction number, because it is equal to n+sod(n) for n = 11112414093 and 11112414102.

It is not an unprimeable number, because it can be changed into a prime (11112414127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 662760 + ... + 679319.

It is an arithmetic number, because the mean of its divisors is an integer number (392558400).

Almost surely, 211112414120 is an apocalyptic number.

11112414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112414120 is an abundant number, since it is smaller than the sum of its proper divisors (26573192280).

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

11112414120 is a wasteful number, since it uses less digits than its factorization.

11112414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342119 (or 1342112 counting only the distinct ones).

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

Adding to 11112414120 its reverse (2141421111), we get a palindrome (13253835231).

The spelling of 11112414120 in words is "eleven billion, one hundred twelve million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 1342079 2684158 4026237 5368316 6710395 8052474 10736632 12078711 13420790 16104948 20131185 24157422 26841580 30867817 32209896 40262370 48314844 53683160 60393555 61735634 80524740 92603451 96629688 120787110 123471268 154339085 161049480 185206902 241574220 246942536 277810353 308678170 370413804 463017255 483148440 555620706 617356340 740827608 926034510 1111241412 1234712680 1389051765 1852069020 2222482824 2778103530 3704138040 5556207060 11112414120