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100314302221 = 7163145960259
BaseRepresentation
bin101110101101100110…
…0101100011100001101
3100120221002001112211201
41131123030230130031
53120420430132341
6114030031345501
710150611333340
oct1353314543415
9316832045751
10100314302221
11395a7899001
1217537082291
1395c89773a3
144bd8ab8457
152921b21331
hex175b32c70d

100314302221 has 16 divisors (see below), whose sum is σ = 115429235200. Its totient is φ = 85396191408.

The previous prime is 100314302189. The next prime is 100314302227. The reversal of 100314302221 is 122203413001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100314302221 - 25 = 100314302189 is a prime.

It is a super-3 number, since 3×1003143022213 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100314302227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1634590 + ... + 1694848.

It is an arithmetic number, because the mean of its divisors is an integer number (7214327200).

Almost surely, 2100314302221 is an apocalyptic number.

It is an amenable number.

100314302221 is a deficient number, since it is larger than the sum of its proper divisors (15114932979).

100314302221 is a wasteful number, since it uses less digits than its factorization.

100314302221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61888.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100314302221 its reverse (122203413001), we get a palindrome (222517715222).

The spelling of 100314302221 in words is "one hundred billion, three hundred fourteen million, three hundred two thousand, two hundred twenty-one".

Divisors: 1 7 163 1141 1459 10213 60259 237817 421813 1664719 9822217 68755519 87917881 615425167 14330614603 100314302221