Search a number
-
+
203302020012 = 223713186174011
BaseRepresentation
bin1011110101010110111…
…1101010001110101100
3201102202110121200101220
42331111233222032230
511312330304120022
6233221243503340
720455004441340
oct2752557521654
9642673550356
10203302020012
1179246765763
1233499527b50
131622c45aa80
149ba8865620
15544d2c585c
hex2f55bea3ac

203302020012 has 48 divisors (see below), whose sum is σ = 583841701632. Its totient is φ = 53618114880.

The previous prime is 203302019983. The next prime is 203302020017. The reversal of 203302020012 is 210020203302.

203302020012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2033020200122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203302019973 and 203302020000.

It is not an unprimeable number, because it can be changed into a prime (203302020017) 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, 93085914 + ... + 93088097.

It is an arithmetic number, because the mean of its divisors is an integer number (12163368784).

Almost surely, 2203302020012 is an apocalyptic number.

It is an amenable number.

203302020012 is an abundant number, since it is smaller than the sum of its proper divisors (380539681620).

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

203302020012 is a wasteful number, since it uses less digits than its factorization.

203302020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186174038 (or 186174036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 203302020012 its reverse (210020203302), we get a palindrome (413322223314).

The spelling of 203302020012 in words is "two hundred three billion, three hundred two million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 186174011 372348022 558522033 744696044 1117044066 1303218077 2234088132 2420262143 2606436154 3909654231 4840524286 5212872308 7260786429 7819308462 9681048572 14521572858 15638616924 16941835001 29043145716 33883670002 50825505003 67767340004 101651010006 203302020012