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105225410234 = 2719395584249
BaseRepresentation
bin110000111111111101…
…1000101011010111010
3101001121100011200112002
41201333323011122322
53211000201111414
6120201225421002
710413404141450
oct1417773053272
9331540150462
10105225410234
114069800115a
121848793a762
139bcc281469
14514303a9d0
152b0cd694de
hex187fec56ba

105225410234 has 16 divisors (see below), whose sum is σ = 189880440000. Its totient is φ = 42723098784.

The previous prime is 105225410233. The next prime is 105225410239. The reversal of 105225410234 is 432014522501.

It is a super-2 number, since 2×1052254102342 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105225410197 and 105225410206.

It is not an unprimeable number, because it can be changed into a prime (105225410233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197791859 + ... + 197792390.

It is an arithmetic number, because the mean of its divisors is an integer number (11867527500).

Almost surely, 2105225410234 is an apocalyptic number.

105225410234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105225410234 is a deficient number, since it is larger than the sum of its proper divisors (84655029766).

105225410234 is a wasteful number, since it uses less digits than its factorization.

105225410234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395584277.

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 105225410234 its reverse (432014522501), we get a palindrome (537239932735).

The spelling of 105225410234 in words is "one hundred five billion, two hundred twenty-five million, four hundred ten thousand, two hundred thirty-four".

Divisors: 1 2 7 14 19 38 133 266 395584249 791168498 2769089743 5538179486 7516100731 15032201462 52612705117 105225410234