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100055016 = 23321519203
BaseRepresentation
bin1011111011010…
…11011111101000
320222021022200100
411331223133220
5201103230031
613532305400
72323311405
oct575533750
9228238610
10100055016
11515298a6
1229612260
1317962869
14d4072ac
158bb5de6
hex5f6b7e8

100055016 has 48 divisors (see below), whose sum is σ = 272806560. Its totient is φ = 33127200.

The previous prime is 100055009. The next prime is 100055029. The reversal of 100055016 is 610550001.

100055016 is a `hidden beast` number, since 100 + 0 + 550 + 16 = 666.

It is a super-2 number, since 2×1000550162 = 20022012453520512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100055016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6271 + ... + 15473.

It is an arithmetic number, because the mean of its divisors is an integer number (5683470).

Almost surely, 2100055016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100055016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136403280).

100055016 is an abundant number, since it is smaller than the sum of its proper divisors (172751544).

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

100055016 is a wasteful number, since it uses less digits than its factorization.

100055016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9366 (or 9359 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 100055016 is about 10002.7504217590. The cubic root of 100055016 is about 464.2439883065.

It can be divided in two parts, 10005501 and 6, that multiplied together give a palindrome (60033006).

The spelling of 100055016 in words is "one hundred million, fifty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 5436 9203 10872 18406 27609 36812 55218 73624 82827 110436 165654 220872 331308 662616 1389653 2779306 4168959 5558612 8337918 11117224 12506877 16675836 25013754 33351672 50027508 100055016