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110010096 = 2433725197
BaseRepresentation
bin1101000111010…
…01111011110000
321200000002111000
412203221323300
5211130310341
614525522000
72504033100
oct643517360
9250002430
10110010096
1157109239
1230a13300
1319a39b41
1410879200
1599d08b6
hex68e9ef0

110010096 has 120 divisors (see below), whose sum is σ = 367394640. Its totient is φ = 31425408.

The previous prime is 110010083. The next prime is 110010097. The reversal of 110010096 is 690010011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010097) 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, 18570 + ... + 23766.

It is an arithmetic number, because the mean of its divisors is an integer number (3061622).

Almost surely, 2110010096 is an apocalyptic number.

110010096 is a gapful number since it is divisible by the number (16) 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 110010096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183697320).

110010096 is an abundant number, since it is smaller than the sum of its proper divisors (257384544).

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

110010096 is a wasteful number, since it uses less digits than its factorization.

110010096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 110010096 is about 10488.5697785732. The cubic root of 110010096 is about 479.1566440987.

The spelling of 110010096 in words is "one hundred ten million, ten thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5197 5292 7056 10394 10584 15591 20788 21168 31182 36379 41576 46773 62364 72758 83152 93546 109137 124728 140319 145516 187092 218274 249456 254653 280638 291032 327411 374184 436548 509306 561276 582064 654822 748368 763959 873096 982233 1018612 1122552 1309644 1527918 1746192 1964466 2037224 2245104 2291877 2619288 3055836 3928932 4074448 4583754 5238576 6111672 6875631 7857864 9167508 12223344 13751262 15715728 18335016 27502524 36670032 55005048 110010096