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111031020 = 223351271619
BaseRepresentation
bin1101001111000…
…11001011101100
321201220221221000
412213203023230
5211410443040
615003440300
72515514412
oct647431354
9251827830
10111031020
1157746281
1231226090
131a006739
1410a632b2
159b33130
hex69e32ec

111031020 has 96 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 29356992.

The previous prime is 111030989. The next prime is 111031021. The reversal of 111031020 is 20130111.

It is a super-3 number, since 3×1110310203 (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 111030993 and 111031011.

It is not an unprimeable number, because it can be changed into a prime (111031021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67771 + ... + 69389.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2111031020 is an apocalyptic number.

111031020 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 111031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

111031020 is an abundant number, since it is smaller than the sum of its proper divisors (237333780).

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

111031020 is a wasteful number, since it uses less digits than its factorization.

111031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 111031020 is about 10537.1257940674. The cubic root of 111031020 is about 480.6343176331.

Adding to 111031020 its reverse (20130111), we get a palindrome (131161131).

Subtracting from 111031020 its reverse (20130111), we obtain a palindrome (90900909).

The spelling of 111031020 in words is "one hundred eleven million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 127 135 180 254 270 381 508 540 635 762 1143 1270 1524 1619 1905 2286 2540 3238 3429 3810 4572 4857 5715 6476 6858 7620 8095 9714 11430 13716 14571 16190 17145 19428 22860 24285 29142 32380 34290 43713 48570 58284 68580 72855 87426 97140 145710 174852 205613 218565 291420 411226 437130 616839 822452 874260 1028065 1233678 1850517 2056130 2467356 3084195 3701034 4112260 5551551 6168390 7402068 9252585 11103102 12336780 18505170 22206204 27757755 37010340 55515510 111031020