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107217221216 = 2574111674349
BaseRepresentation
bin110001111011010100…
…1001111011001100000
3101020202011010011112012
41203312221033121200
53224040102034331
6121131021052052
710513641225530
oct1436651173140
9336664104465
10107217221216
114151a365236
12189429b7028
13a158b1c341
1452917a34c0
152bc7b6082b
hex18f6a4f660

107217221216 has 48 divisors (see below), whose sum is σ = 247122640800. Its totient is φ = 44829496320.

The previous prime is 107217221201. The next prime is 107217221219. The reversal of 107217221216 is 612122712701.

It is a super-2 number, since 2×1072172212162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107217221219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5827991 + ... + 5846358.

It is an arithmetic number, because the mean of its divisors is an integer number (5148388350).

Almost surely, 2107217221216 is an apocalyptic number.

107217221216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107217221216 is an abundant number, since it is smaller than the sum of its proper divisors (139905419584).

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

107217221216 is a wasteful number, since it uses less digits than its factorization.

107217221216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11674407 (or 11674399 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

Adding to 107217221216 its reverse (612122712701), we get a palindrome (719339933917).

The spelling of 107217221216 in words is "one hundred seven billion, two hundred seventeen million, two hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 11674349 23348698 46697396 81720443 93394792 163440886 186789584 326881772 373579168 478648309 653763544 957296618 1307527088 1914593236 2615054176 3350538163 3829186472 6701076326 7658372944 13402152652 15316745888 26804305304 53608610608 107217221216