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100320134020 = 2256018346101
BaseRepresentation
bin101110101101110001…
…0111100001110000100
3100120221111000211120021
41131123202330032010
53120423423242040
6114030400344524
710151012032561
oct1353342741604
9316844024507
10100320134020
1139600111577
1217539015144
1395c9c39962
144bd9795868
1529223c424a
hex175b8bc384

100320134020 has 24 divisors (see below), whose sum is σ = 211022842968. Its totient is φ = 40061280000.

The previous prime is 100320134009. The next prime is 100320134027. The reversal of 100320134020 is 20431023001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27222360064 + 73097773956 = 164992^2 + 270366^2 .

It is a super-2 number, since 2×1003201340202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100320133985 and 100320134003.

It is not an unprimeable number, because it can be changed into a prime (100320134027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4161031 + ... + 4185070.

It is an arithmetic number, because the mean of its divisors is an integer number (8792618457).

Almost surely, 2100320134020 is an apocalyptic number.

100320134020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100320134020 is an abundant number, since it is smaller than the sum of its proper divisors (110702708948).

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

100320134020 is a wasteful number, since it uses less digits than its factorization.

100320134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8346711 (or 8346709 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100320134020 its reverse (20431023001), we get a palindrome (120751157021).

The spelling of 100320134020 in words is "one hundred billion, three hundred twenty million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 601 1202 2404 3005 6010 12020 8346101 16692202 33384404 41730505 83461010 166922020 5016006701 10032013402 20064026804 25080033505 50160067010 100320134020