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105124132430 = 2541619414217
BaseRepresentation
bin110000111100111100…
…0101111011001001110
3101001100021121020111022
41201321320233121032
53210243234214210
6120143210554142
710411034245052
oct1417170573116
9331307536438
10105124132430
1140645917699
1218459a38952
139bb42b1175
1451337d5c62
152b04011155
hex1879e2f64e

105124132430 has 32 divisors (see below), whose sum is σ = 194152260960. Its totient is φ = 40957678080.

The previous prime is 105124132427. The next prime is 105124132433. The reversal of 105124132430 is 34231421501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105124132427) and next prime (105124132433).

It is a super-2 number, since 2×1051241324302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105124132430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105124132433) 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, 46682 + ... + 460898.

It is an arithmetic number, because the mean of its divisors is an integer number (6067258155).

Almost surely, 2105124132430 is an apocalyptic number.

105124132430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105124132430 is a deficient number, since it is larger than the sum of its proper divisors (89028128530).

105124132430 is a wasteful number, since it uses less digits than its factorization.

105124132430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414884.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 105124132430 its reverse (34231421501), we get a palindrome (139355553931).

The spelling of 105124132430 in words is "one hundred five billion, one hundred twenty-four million, one hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 5 10 41 82 205 410 619 1238 3095 6190 25379 50758 126895 253790 414217 828434 2071085 4142170 16982897 33965794 84914485 169828970 256400323 512800646 1282001615 2564003230 10512413243 21024826486 52562066215 105124132430