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109811712 = 211361293
BaseRepresentation
bin1101000101110…
…01100000000000
321122122000100110
412202321200000
5211102433322
614521351320
72502245523
oct642714000
9248560313
10109811712
1156a9318a
1230938540
131999a75a
1410826bba
159991c0c
hex68b9800

109811712 has 96 divisors (see below), whose sum is σ = 298574640. Its totient is φ = 35880960.

The previous prime is 109811711. The next prime is 109811717. The reversal of 109811712 is 217118901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1098117122 = 24117224184741888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109811712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109811711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374638 + ... + 374930.

Almost surely, 2109811712 is an apocalyptic number.

109811712 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 109811712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149287320).

109811712 is an abundant number, since it is smaller than the sum of its proper divisors (188762928).

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

109811712 is an equidigital number, since it uses as much as digits as its factorization.

109811712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 30.

The square root of 109811712 is about 10479.1083590160. The cubic root of 109811712 is about 478.8684456756.

The spelling of 109811712 in words is "one hundred nine million, eight hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 293 366 384 488 512 586 732 768 879 976 1024 1172 1464 1536 1758 1952 2048 2344 2928 3072 3516 3904 4688 5856 6144 7032 7808 9376 11712 14064 15616 17873 18752 23424 28128 31232 35746 37504 46848 53619 56256 62464 71492 75008 93696 107238 112512 124928 142984 150016 187392 214476 225024 285968 300032 374784 428952 450048 571936 600064 857904 900096 1143872 1715808 1800192 2287744 3431616 4575488 6863232 9150976 13726464 18301952 27452928 36603904 54905856 109811712