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111020712 = 23311715923
BaseRepresentation
bin1101001111000…
…00101010101000
321201220102210020
412213200222220
5211410130322
615003320440
72515442355
oct647405250
9251812706
10111020712
1157739560
1231220120
131a001b3a
1410a5d62c
159b3005c
hex69e0aa8

111020712 has 64 divisors (see below), whose sum is σ = 307100160. Its totient is φ = 33163200.

The previous prime is 111020699. The next prime is 111020731. The reversal of 111020712 is 217020111.

It is a junction number, because it is equal to n+sod(n) for n = 111020691 and 111020700.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15783 + ... + 21705.

It is an arithmetic number, because the mean of its divisors is an integer number (4798440).

Almost surely, 2111020712 is an apocalyptic number.

111020712 is a gapful number since it is divisible by the number (12) 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 111020712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153550080).

111020712 is an abundant number, since it is smaller than the sum of its proper divisors (196079448).

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

111020712 is a wasteful number, since it uses less digits than its factorization.

111020712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6014 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 111020712 is about 10536.6366550242. The cubic root of 111020712 is about 480.6194433158.

Adding to 111020712 its reverse (217020111), we get a palindrome (328040823).

The spelling of 111020712 in words is "one hundred eleven million, twenty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 3124 4686 5923 6248 9372 11846 17769 18744 23692 35538 47384 65153 71076 130306 142152 195459 260612 390918 420533 521224 781836 841066 1261599 1563672 1682132 2523198 3364264 4625863 5046396 9251726 10092792 13877589 18503452 27755178 37006904 55510356 111020712