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216103104 = 2632753597
BaseRepresentation
bin11001110000101…
…11100011000000
3120001122011201200
430320113203000
5420310244404
633235501200
75232563130
oct1470274300
9501564650
10216103104
11100a91508
1260457800
1335a04a79
14209b4ac0
1513e8a839
hexce178c0

216103104 has 84 divisors (see below), whose sum is σ = 707922384. Its totient is φ = 61742592.

The previous prime is 216103103. The next prime is 216103109. The reversal of 216103104 is 401301612.

It is a happy number.

216103104 is a `hidden beast` number, since 21 + 610 + 31 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is not an unprimeable number, because it can be changed into a prime (216103103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22767 + ... + 30830.

Almost surely, 2216103104 is an apocalyptic number.

216103104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216103104 is an abundant number, since it is smaller than the sum of its proper divisors (491819280).

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

216103104 is a wasteful number, since it uses less digits than its factorization.

216103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53622 (or 53609 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 216103104 is about 14700.4457075287. The cubic root of 216103104 is about 600.0954514809.

Adding to 216103104 its reverse (401301612), we get a palindrome (617404716).

The spelling of 216103104 in words is "two hundred sixteen million, one hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 53597 107194 160791 214388 321582 375179 428776 482373 643164 750358 857552 964746 1125537 1286328 1500716 1715104 1929492 2251074 2572656 3001432 3376611 3430208 3858984 4502148 5145312 6002864 6753222 7717968 9004296 10290624 12005728 13506444 15435936 18008592 24011456 27012888 30871872 36017184 54025776 72034368 108051552 216103104