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100681110 = 2335616113
BaseRepresentation
bin1100000000001…
…00010110010110
321000110010112000
412000010112112
5201233243420
613553540130
72331526635
oct600042626
9230403460
10100681110
1151917232
1229874646
1317b2182a
14d52b51c
158c8b690
hex6004596

100681110 has 64 divisors (see below), whose sum is σ = 272928960. Its totient is φ = 26403840.

The previous prime is 100681099. The next prime is 100681111. The reversal of 100681110 is 11186001.

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 (100681111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13414 + ... + 19526.

It is an arithmetic number, because the mean of its divisors is an integer number (4264515).

Almost surely, 2100681110 is an apocalyptic number.

100681110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100681110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136464480).

100681110 is an abundant number, since it is smaller than the sum of its proper divisors (172247850).

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

100681110 is a wasteful number, since it uses less digits than its factorization.

100681110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 100681110 is about 10033.9977077932. The cubic root of 100681110 is about 465.2103106934.

The spelling of 100681110 in words is "one hundred million, six hundred eighty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1647 1830 2745 3294 5490 6113 8235 12226 16470 18339 30565 36678 55017 61130 91695 110034 165051 183390 275085 330102 372893 550170 745786 825255 1118679 1650510 1864465 2237358 3356037 3728930 5593395 6712074 10068111 11186790 16780185 20136222 33560370 50340555 100681110