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109212912 = 243219179223
BaseRepresentation
bin1101000001001…
…11010011110000
321121111120221200
412200213103300
5210424303122
614500451200
72464202664
oct640472360
9247446850
10109212912
1156714306
12306a9b00
131981b033
141070c8a4
1598c45ac
hex68274f0

109212912 has 120 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 34141824.

The previous prime is 109212911. The next prime is 109212941. The reversal of 109212912 is 219212901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109212911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489633 + ... + 489855.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2109212912 is an apocalyptic number.

109212912 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 109212912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

109212912 is an abundant number, since it is smaller than the sum of its proper divisors (215766288).

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

109212912 is a wasteful number, since it uses less digits than its factorization.

109212912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 109212912 is about 10450.4981699439. The cubic root of 109212912 is about 477.9964402786.

The spelling of 109212912 in words is "one hundred nine million, two hundred twelve thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 179 223 228 304 342 358 446 456 537 669 684 716 892 912 1074 1338 1368 1432 1611 1784 2007 2148 2676 2736 2864 3222 3401 3568 4014 4237 4296 5352 6444 6802 8028 8474 8592 10203 10704 12711 12888 13604 16056 16948 20406 25422 25776 27208 30609 32112 33896 38133 39917 40812 50844 54416 61218 67792 76266 79834 81624 101688 119751 122436 152532 159668 163248 203376 239502 244872 305064 319336 359253 479004 489744 610128 638672 718506 758423 958008 1437012 1516846 1916016 2275269 2874024 3033692 4550538 5748048 6067384 6825807 9101076 12134768 13651614 18202152 27303228 36404304 54606456 109212912