Search a number
-
+
4113334013202 = 2321737698352027
BaseRepresentation
bin111011110110110101110…
…100000000110100010010
3112120020020022122002121200
4323312311310000310102
51014343102001410302
612425350051132030
7603115152140511
oct73666564006422
915506208562550
104113334013202
1113465008a8197
125652372a4016
1323ab68c564cb
1410312d234678
1571ee5b2381c
hex3bdb5d00d12

4113334013202 has 96 divisors (see below), whose sum is σ = 9693086113152. Its totient is φ = 1255376558592.

The previous prime is 4113334013197. The next prime is 4113334013203. The reversal of 4113334013202 is 2023104333114.

It is a happy number.

4113334013202 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 334 + 0 + 1 + 320 + 2 = 666.

4113334013202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41133340132022 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4113334013203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79035513 + ... + 79087539.

It is an arithmetic number, because the mean of its divisors is an integer number (100969647012).

Almost surely, 24113334013202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113334013202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846543056576).

4113334013202 is an abundant number, since it is smaller than the sum of its proper divisors (5579752099950).

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

4113334013202 is a wasteful number, since it uses less digits than its factorization.

4113334013202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59072 (or 59069 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 4113334013202 its reverse (2023104333114), we get a palindrome (6136438346316).

The spelling of 4113334013202 in words is "four trillion, one hundred thirteen billion, three hundred thirty-four million, thirteen thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 6983 11322 13966 20949 41898 52027 62847 104054 118711 125694 156081 237422 258371 312162 356133 468243 516742 712266 775113 884459 936486 1068399 1550226 1768918 1924999 2136798 2325339 2653377 3849998 4392307 4650678 5306754 5774997 7960131 8784614 11549994 13176921 15920262 17324991 26353842 32724983 34649982 39530763 65449966 79061526 98174949 196349898 294524847 363304541 589049694 726609082 1089913623 2179827246 3269740869 6176177197 6539481738 12352354394 13442268017 18528531591 26884536034 37057063182 40326804051 55585594773 80653608102 111171189546 120980412153 228518556289 241960824306 457037112578 685555668867 1371111337734 2056667006601 4113334013202