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105123530420 = 22547111833543
BaseRepresentation
bin110000111100111011…
…0011100011010110100
3101001100020110122200122
41201321312130122310
53210243110433140
6120143150031112
710411026156656
oct1417166343264
9331306418618
10105123530420
1140645546367
12184597a8498
139bb413014c
1451336ba6d6
152b03e42ab5
hex1879d9c6b4

105123530420 has 24 divisors (see below), whose sum is σ = 225456424704. Its totient is φ = 41154743456.

The previous prime is 105123530401. The next prime is 105123530423. The reversal of 105123530420 is 24035321501.

It is a happy number.

It is a super-2 number, since 2×1051235304202 (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 105123530420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105123530423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55915832 + ... + 55917711.

It is an arithmetic number, because the mean of its divisors is an integer number (9394017696).

Almost surely, 2105123530420 is an apocalyptic number.

105123530420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105123530420 is an abundant number, since it is smaller than the sum of its proper divisors (120332894284).

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

105123530420 is a wasteful number, since it uses less digits than its factorization.

105123530420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111833599 (or 111833597 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 105123530420 its reverse (24035321501), we get a palindrome (129158851921).

The spelling of 105123530420 in words is "one hundred five billion, one hundred twenty-three million, five hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 111833543 223667086 447334172 559167715 1118335430 2236670860 5256176521 10512353042 21024706084 26280882605 52561765210 105123530420