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100302020020 = 22512457402593
BaseRepresentation
bin101110101101001110…
…1110101110110110100
3100120220012221112211101
41131122131311312310
53120404304120040
6114024512215444
710150402050226
oct1353235656664
9316805845741
10100302020020
11395a096a224
1217532b3a584
1395c6266b07
144bd71dc416
1529209e709a
hex175a775db4

100302020020 has 24 divisors (see below), whose sum is σ = 210651674184. Its totient is φ = 40117487616.

The previous prime is 100302020011. The next prime is 100302020041. The reversal of 100302020020 is 20020203001.

It can be written as a sum of positive squares in 4 ways, for example, as 37219669776 + 63082350244 = 192924^2 + 251162^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100302019979 and 100302020006.

It is a congruent number.

It is an unprimeable number.

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, 47844 + ... + 450436.

It is an arithmetic number, because the mean of its divisors is an integer number (8777153091).

Almost surely, 2100302020020 is an apocalyptic number.

100302020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100302020020 is an abundant number, since it is smaller than the sum of its proper divisors (110349654164).

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

100302020020 is a wasteful number, since it uses less digits than its factorization.

100302020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415059 (or 415057 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 100302020020 its reverse (20020203001), we get a palindrome (120322223021).

The spelling of 100302020020 in words is "one hundred billion, three hundred two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 12457 24914 49828 62285 124570 249140 402593 805186 1610372 2012965 4025930 8051860 5015101001 10030202002 20060404004 25075505005 50151010010 100302020020