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105245213412053 = 11131776141438011
BaseRepresentation
bin10111111011100001001111…
…100011110100101011010101
3111210122100021212201122120002
4113323201033203310223111
5102243314144113141203
61011500552241421045
731111500333414311
oct2773411743645325
9453570255648502
10105245213412053
1130597276263580
12b97928903a785
13469577270c420
141bdbc773bcb41
15c27a099abd88
hex5fb84f8f4ad5

105245213412053 has 16 divisors (see below), whose sum is σ = 123651690816192. Its totient is φ = 88312686912000.

The previous prime is 105245213411993. The next prime is 105245213412083. The reversal of 105245213412053 is 350214312542501.

It is a cyclic number.

It is not a de Polignac number, because 105245213412053 - 232 = 105240918444757 is a prime.

It is a super-2 number, since 2×1052452134120532 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105245213411998 and 105245213412016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105245213412083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18179183 + ... + 23258828.

It is an arithmetic number, because the mean of its divisors is an integer number (7728230676012).

Almost surely, 2105245213412053 is an apocalyptic number.

105245213412053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105245213412053 is a deficient number, since it is larger than the sum of its proper divisors (18406477404139).

105245213412053 is a wasteful number, since it uses less digits than its factorization.

105245213412053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41455796.

The product of its (nonzero) digits is 144000, while the sum is 38.

Adding to 105245213412053 its reverse (350214312542501), we get a palindrome (455459525954554).

The spelling of 105245213412053 in words is "one hundred five trillion, two hundred forty-five billion, two hundred thirteen million, four hundred twelve thousand, fifty-three".

Divisors: 1 11 13 143 17761 195371 230893 2539823 41438011 455818121 538694143 5925635573 735980513371 8095785647081 9567746673823 105245213412053