Search a number
-
+
100232002014 = 23611931418953
BaseRepresentation
bin101110101011001001…
…0101111100111011110
3100120201100012021011220
41131112102233213132
53120233343031024
6114013531354210
710145561650134
oct1352622574736
9316640167156
10100232002014
1139565396701
12175135b2966
1395b48c0041
144bcbbb3754
1529197b5e79
hex17564af9de

100232002014 has 32 divisors (see below), whose sum is σ = 204806144544. Its totient is φ = 32692654080.

The previous prime is 100232002009. The next prime is 100232002021. The reversal of 100232002014 is 410200232001.

It is a junction number, because it is equal to n+sod(n) for n = 100232001984 and 100232002002.

It is a congruent number.

It is an unprimeable number.

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, 638839 + ... + 780114.

It is an arithmetic number, because the mean of its divisors is an integer number (6400192017).

Almost surely, 2100232002014 is an apocalyptic number.

100232002014 is an abundant number, since it is smaller than the sum of its proper divisors (104574142530).

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

100232002014 is a wasteful number, since it uses less digits than its factorization.

100232002014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419212.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100232002014 its reverse (410200232001), we get a palindrome (510432234015).

The spelling of 100232002014 in words is "one hundred billion, two hundred thirty-two million, two thousand, fourteen".

Divisors: 1 2 3 6 61 122 183 193 366 386 579 1158 11773 23546 35319 70638 1418953 2837906 4256859 8513718 86556133 173112266 259668399 273857929 519336798 547715858 821573787 1643147574 16705333669 33410667338 50116001007 100232002014