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105114134424 = 23313379105521
BaseRepresentation
bin110000111100101001…
…0100110011110011000
3101001022120210021210210
41201321102212132120
53210233204300144
6120142212411120
710410553254255
oct1417122463630
9331276707723
10105114134424
1140640208a82
1218456616aa0
139bb21c04a0
14513235242c
152b031d8ab9
hex18794a6798

105114134424 has 64 divisors (see below), whose sum is σ = 290648262240. Its totient is φ = 31468677120.

The previous prime is 105114134417. The next prime is 105114134497. The reversal of 105114134424 is 424431411501.

It is a super-2 number, since 2×1051141344242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105114134391 and 105114134400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4541217 + ... + 4564304.

Almost surely, 2105114134424 is an apocalyptic number.

It is an amenable number.

105114134424 is an abundant number, since it is smaller than the sum of its proper divisors (185534127816).

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

105114134424 is a wasteful number, since it uses less digits than its factorization.

105114134424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9105580 (or 9105576 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 105114134424 its reverse (424431411501), we get a palindrome (529545545925).

The spelling of 105114134424 in words is "one hundred five billion, one hundred fourteen million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 11544 9105521 18211042 27316563 36422084 54633126 72844168 109266252 118371773 218532504 236743546 336904277 355115319 473487092 673808554 710230638 946974184 1010712831 1347617108 1420461276 2021425662 2695234216 2840922552 4042851324 4379755601 8085702648 8759511202 13139266803 17519022404 26278533606 35038044808 52557067212 105114134424