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100326016 = 277412731
BaseRepresentation
bin1011111101011…
…01101010000000
320222210002102101
411332231222000
5201140413031
613542200144
72325520450
oct576555200
9228702371
10100326016
11516a446a
1229723054
1317a2900b
14d477d60
158c1b361
hex5fada80

100326016 has 64 divisors (see below), whose sum is σ = 234077760. Its totient is φ = 41932800.

The previous prime is 100325921. The next prime is 100326041. The reversal of 100326016 is 610623001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 100325984 and 100326002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35371 + ... + 38101.

It is an arithmetic number, because the mean of its divisors is an integer number (3657465).

Almost surely, 2100326016 is an apocalyptic number.

100326016 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 100326016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117038880).

100326016 is an abundant number, since it is smaller than the sum of its proper divisors (133751744).

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

100326016 is an equidigital number, since it uses as much as digits as its factorization.

100326016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 100326016 is about 10016.2875358089. The cubic root of 100326016 is about 464.6627469404.

Adding to 100326016 its reverse (610623001), we get a palindrome (710949017).

The spelling of 100326016 in words is "one hundred million, three hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 287 328 448 574 656 896 1148 1312 2296 2624 2731 4592 5248 5462 9184 10924 18368 19117 21848 36736 38234 43696 76468 87392 111971 152936 174784 223942 305872 349568 447884 611744 783797 895768 1223488 1567594 1791536 2446976 3135188 3583072 6270376 7166144 12540752 14332288 25081504 50163008 100326016