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111120002100 = 223252373336937
BaseRepresentation
bin110011101111101000…
…1001010110000110100
3101121211010212222102100
41213133101022300310
53310033210031400
6123014155142100
711012441301462
oct1473721126064
9347733788370
10111120002100
1143142387288
1219651a44930
13a62b561c43
145541c4b832
152d555d0100
hex19df44ac34

111120002100 has 108 divisors (see below), whose sum is σ = 357713079724. Its totient is φ = 28831127040.

The previous prime is 111120002099. The next prime is 111120002101. The reversal of 111120002100 is 1200021111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111120002099) and next prime (111120002101).

It can be written as a sum of positive squares in 6 ways, for example, as 1867276944 + 109252725156 = 43212^2 + 330534^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111120002101) 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 35 ways as a sum of consecutive naturals, for example, 1635169 + ... + 1701768.

Almost surely, 2111120002100 is an apocalyptic number.

111120002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111120002100 is an abundant number, since it is smaller than the sum of its proper divisors (246593077624).

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

111120002100 is a wasteful number, since it uses less digits than its factorization.

111120002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336994 (or 3336984 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111120002100 its reverse (1200021111), we get a palindrome (112320023211).

The spelling of 111120002100 in words is "one hundred eleven billion, one hundred twenty million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 3336937 6673874 10010811 13347748 16684685 20021622 30032433 33369370 40043244 50054055 60064866 66738740 83423425 100108110 120129732 123466669 150162165 166846850 200216220 246933338 250270275 300324330 333693700 370400007 493866676 500540550 600648660 617333345 740800014 750810825 1001081100 1111200021 1234666690 1481600028 1501621650 1852000035 2222400042 2469333380 3003243300 3086666725 3704000070 4444800084 5556000105 6173333450 7408000140 9260000175 11112000210 12346666900 18520000350 22224000420 27780000525 37040000700 55560001050 111120002100