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100300020 = 22355932819
BaseRepresentation
bin1011111101001…
…11010011110100
320222201202202120
411332213103310
5201134100040
613541435540
72325351612
oct576472364
9228652676
10100300020
1151686987
122970bbb0
1317a1a232
14d46c6b2
158c137d0
hex5fa74f4

100300020 has 48 divisors (see below), whose sum is σ = 281413440. Its totient is φ = 26692096.

The previous prime is 100300001. The next prime is 100300027. The reversal of 100300020 is 20003001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 100299981 and 100300008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100300027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34171 + ... + 36989.

It is an arithmetic number, because the mean of its divisors is an integer number (5862780).

Almost surely, 2100300020 is an apocalyptic number.

100300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100300020 is an abundant number, since it is smaller than the sum of its proper divisors (181113420).

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

100300020 is a wasteful number, since it uses less digits than its factorization.

100300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 100300020 is about 10014.9897653467. The cubic root of 100300020 is about 464.6226097400.

Adding to 100300020 its reverse (20003001), we get a palindrome (120303021).

The spelling of 100300020 in words is "one hundred million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 593 1186 1779 2372 2819 2965 3558 5638 5930 7116 8457 8895 11276 11860 14095 16914 17790 28190 33828 35580 42285 56380 84570 169140 1671667 3343334 5015001 6686668 8358335 10030002 16716670 20060004 25075005 33433340 50150010 100300020