Search a number
-
+
102000124146 = 23413831082597
BaseRepresentation
bin101111011111110101…
…1100110000011110010
3100202021120020011202210
41132333223212003302
53132344012433041
6114505212352550
710240441515144
oct1367753460362
9322246204683
10102000124146
113a292457a68
1217927775756
139806ccb45b
144d1894cc94
1529beb24016
hex17bfae60f2

102000124146 has 32 divisors (see below), whose sum is σ = 209521686528. Its totient is φ = 33084133760.

The previous prime is 102000124097. The next prime is 102000124147. The reversal of 102000124146 is 641421000201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102000124147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447081 + ... + 635516.

It is an arithmetic number, because the mean of its divisors is an integer number (6547552704).

Almost surely, 2102000124146 is an apocalyptic number.

102000124146 is an abundant number, since it is smaller than the sum of its proper divisors (107521562382).

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

102000124146 is a wasteful number, since it uses less digits than its factorization.

102000124146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083026.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102000124146 its reverse (641421000201), we get a palindrome (743421124347).

The spelling of 102000124146 in words is "one hundred two billion, one hundred twenty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 41 82 123 246 383 766 1149 2298 15703 31406 47109 94218 1082597 2165194 3247791 6495582 44386477 88772954 133159431 266318862 414634651 829269302 1243903953 2487807906 17000020691 34000041382 51000062073 102000124146