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100136016 = 2432695389
BaseRepresentation
bin1011111011111…
…11010001010000
320222102102210100
411331333101100
5201113323031
613534132400
72324066511
oct575772120
9228372710
10100136016
1151584742
1229651100
13179906a6
14d428a08
158bcede6
hex5f7f450

100136016 has 30 divisors (see below), whose sum is σ = 280242170. Its totient is φ = 33378624.

The previous prime is 100136009. The next prime is 100136041. The reversal of 100136016 is 610631001.

It can be written as a sum of positive squares in only one way, i.e., 89870400 + 10265616 = 9480^2 + 3204^2 .

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 100136016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347551 + ... + 347838.

Almost surely, 2100136016 is an apocalyptic number.

100136016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100136016 is an abundant number, since it is smaller than the sum of its proper divisors (180106154).

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

100136016 is a wasteful number, since it uses less digits than its factorization.

100136016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695403 (or 695394 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100136016 is about 10006.7984890273. The cubic root of 100136016 is about 464.3692314700.

Adding to 100136016 its reverse (610631001), we get a palindrome (710767017).

The spelling of 100136016 in words is "one hundred million, one hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 695389 1390778 2086167 2781556 4172334 5563112 6258501 8344668 11126224 12517002 16689336 25034004 33378672 50068008 100136016