Search a number
-
+
105224533155104 = 2511298933332827
BaseRepresentation
bin10111111011001101111110…
…111010111001110100100000
3111210120100220122011202012112
4113323031332322321310200
5102242444320441430404
61011443252212014452
731110136011215066
oct2773157672716440
9453510818152175
10105224533155104
113058952384a430
12b975277301428
1346938281188ac
141bdac74a1c036
15c271e916d56e
hex5fb37eeb9d20

105224533155104 has 24 divisors (see below), whose sum is σ = 225993599617968. Its totient is φ = 47829333252160.

The previous prime is 105224533155101. The next prime is 105224533155109. The reversal of 105224533155104 is 401551335422501.

It is a super-2 number, since 2×1052245331551042 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105224533155101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149466666062 + ... + 149466666765.

It is an arithmetic number, because the mean of its divisors is an integer number (9416399984082).

Almost surely, 2105224533155104 is an apocalyptic number.

It is an amenable number.

105224533155104 is an abundant number, since it is smaller than the sum of its proper divisors (120769066462864).

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

105224533155104 is a wasteful number, since it uses less digits than its factorization.

105224533155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298933332848 (or 298933332840 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

Adding to 105224533155104 its reverse (401551335422501), we get a palindrome (506775868577605).

The spelling of 105224533155104 in words is "one hundred five trillion, two hundred twenty-four billion, five hundred thirty-three million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 298933332827 597866665654 1195733331308 2391466662616 3288266661097 4782933325232 6576533322194 9565866650464 13153066644388 26306133288776 52612266577552 105224533155104