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109851312 = 24319235237
BaseRepresentation
bin1101000110000…
…11001010110000
321122201000200010
412203003022300
5211110220222
614522254520
72502502134
oct643031260
9248630603
10109851312
115700aa0a
1230957440
13199b279c
14108373c4
15999d80c
hex68c32b0

109851312 has 80 divisors (see below), whose sum is σ = 311765760. Its totient is φ = 33175296.

The previous prime is 109851311. The next prime is 109851319. The reversal of 109851312 is 213158901.

It is a self number, because there is not a number n which added to its sum of digits gives 109851312.

It is not an unprimeable number, because it can be changed into a prime (109851311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18358 + ... + 23594.

It is an arithmetic number, because the mean of its divisors is an integer number (3897072).

Almost surely, 2109851312 is an apocalyptic number.

109851312 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 109851312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155882880).

109851312 is an abundant number, since it is smaller than the sum of its proper divisors (201914448).

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

109851312 is a wasteful number, since it uses less digits than its factorization.

109851312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 109851312 is about 10480.9976624365. The cubic root of 109851312 is about 478.9260015018.

The spelling of 109851312 in words is "one hundred nine million, eight hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 368 437 456 552 874 912 1104 1311 1748 2622 3496 5237 5244 6992 10474 10488 15711 20948 20976 31422 41896 62844 83792 99503 120451 125688 199006 240902 251376 298509 361353 398012 481804 597018 722706 796024 963608 1194036 1445412 1592048 1927216 2288569 2388072 2890824 4577138 4776144 5781648 6865707 9154276 13731414 18308552 27462828 36617104 54925656 109851312