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11111000120 = 23511191329067
BaseRepresentation
bin10100101100100010…
…00110100000111000
31001200100022021202222
422112101012200320
5140223404000440
65034311143212
7542224641233
oct122621064070
931610267688
1011111000120
114791962930
1221a1074b08
131080c1ccac
1477592641a
154506b82b5
hex296446838

11111000120 has 64 divisors (see below), whose sum is σ = 28707868800. Its totient is φ = 3827710080.

The previous prime is 11111000119. The next prime is 11111000213. The reversal of 11111000120 is 2100011111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11111000098 and 11111000107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656174 + ... + 672893.

It is an arithmetic number, because the mean of its divisors is an integer number (448560450).

Almost surely, 211111000120 is an apocalyptic number.

11111000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111000120 is an abundant number, since it is smaller than the sum of its proper divisors (17596868680).

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

11111000120 is a wasteful number, since it uses less digits than its factorization.

11111000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329108 (or 1329104 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11111000120 its reverse (2100011111), we get a palindrome (13211011231).

The spelling of 11111000120 in words is "eleven billion, one hundred eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 1329067 2658134 5316268 6645335 10632536 13290670 14619737 25252273 26581340 29239474 50504546 53162680 58478948 73098685 101009092 116957896 126261365 146197370 202018184 252522730 277775003 292394740 505045460 555550006 584789480 1010090920 1111100012 1388875015 2222200024 2777750030 5555500060 11111000120