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102202002112 = 267228129469
BaseRepresentation
bin101111100101110110…
…1101100101011000000
3100202210122002122021111
41133023231230223000
53133302203031422
6114541223333104
710245442453510
oct1371355545300
9322718078244
10102202002112
113a386402961
12179832b1194
139839a92482
144d3769d840
1529d26eea77
hex17cbb6cac0

102202002112 has 28 divisors (see below), whose sum is σ = 231779541520. Its totient is φ = 43800857856.

The previous prime is 102202002053. The next prime is 102202002113. The reversal of 102202002112 is 211200202201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 102202002092 and 102202002101.

It is not an unprimeable number, because it can be changed into a prime (102202002113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114064287 + ... + 114065182.

Almost surely, 2102202002112 is an apocalyptic number.

It is an amenable number.

102202002112 is an abundant number, since it is smaller than the sum of its proper divisors (129577539408).

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

102202002112 is an equidigital number, since it uses as much as digits as its factorization.

102202002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228129488 (or 228129478 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102202002112 its reverse (211200202201), we get a palindrome (313402204313).

The spelling of 102202002112 in words is "one hundred two billion, two hundred two million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 228129469 456258938 912517876 1596906283 1825035752 3193812566 3650071504 6387625132 7300143008 12775250264 14600286016 25550500528 51101001056 102202002112