Search a number
-
+
100513322143353 = 3374746769241939
BaseRepresentation
bin10110110110101010010100…
…110111001000111001111001
3111011212222110020111020121000
4112312222110313020321321
5101133302240432041403
6553435103245435213
730112563552312660
oct2666522467107171
9434788406436530
10100513322143353
112a032507a780a9
12b3341a426bb09
13441149a317382
141ab6c29499dd7
15b948aec897a3
hex5b6a94dc8e79

100513322143353 has 64 divisors (see below), whose sum is σ = 173806599168000. Its totient is φ = 56212703315712.

The previous prime is 100513322143349. The next prime is 100513322143379. The reversal of 100513322143353 is 353341223315001.

100513322143353 is a `hidden beast` number, since 1 + 0 + 0 + 51 + 33 + 221 + 4 + 3 + 353 = 666.

It is not a de Polignac number, because 100513322143353 - 22 = 100513322143349 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100513322143343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415328058 + ... + 415569996.

It is an arithmetic number, because the mean of its divisors is an integer number (2715728112000).

Almost surely, 2100513322143353 is an apocalyptic number.

It is an amenable number.

100513322143353 is a deficient number, since it is larger than the sum of its proper divisors (73293277024647).

100513322143353 is a wasteful number, since it uses less digits than its factorization.

100513322143353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288771 (or 288765 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 100513322143353 its reverse (353341223315001), we get a palindrome (453854545458354).

The spelling of 100513322143353 in words is "one hundred trillion, five hundred thirteen billion, three hundred twenty-two million, one hundred forty-three thousand, three hundred fifty-three".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 987 1269 2961 8883 46769 140307 241939 327383 420921 725817 982149 1262763 1693573 2177451 2198143 2946447 5080719 6532353 6594429 8839341 11371133 15242157 15387001 19783287 34113399 45726471 46161003 59349861 79597931 102340197 138483009 238793793 307020591 415449027 716381379 2149144137 11315245091 33945735273 79206715637 101837205819 237620146911 305511617457 531816519277 712860440733 1595449557831 2138581322199 3722715634939 4786348673493 11168146904817 14359046020479 33504440714451 100513322143353