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100000016 = 249764433
BaseRepresentation
bin1011111010111…
…10000100010000
320222011112020022
411331132010100
5201100000031
613531203012
72322662144
oct575360420
9228145208
10100000016
11514a1546
12295a6468
131794380c
14d3d1224
158ba497b
hex5f5e110

100000016 has 20 divisors (see below), whose sum is σ = 195750492. Its totient is φ = 49483776.

The previous prime is 100000007. The next prime is 100000037. The reversal of 100000016 is 610000001.

It can be written as a sum of positive squares in 2 ways, for example, as 44943616 + 55056400 = 6704^2 + 7420^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 99999949 and 100000012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30665 + ... + 33768.

Almost surely, 2100000016 is an apocalyptic number.

100000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100000016 is a deficient number, since it is larger than the sum of its proper divisors (95750476).

100000016 is an equidigital number, since it uses as much as digits as its factorization.

100000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64538 (or 64532 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100000016 is about 10000.0008000000. Note that the first 3 decimals coincide. The cubic root of 100000016 is about 464.1589081164.

Adding to 100000016 its reverse (610000001), we get a palindrome (710000017).

It can be divided in two parts, 10000001 and 6, that multiplied together give a palindrome (60000006).

The spelling of 100000016 in words is "one hundred million, sixteen", and thus it is an aban number.

Divisors: 1 2 4 8 16 97 194 388 776 1552 64433 128866 257732 515464 1030928 6250001 12500002 25000004 50000008 100000016