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20301002100 = 22325222556669
BaseRepresentation
bin10010111010000010…
…001011010101110100
31221101210220202111200
4102322002023111310
5313034024031400
613154240532500
71316035446021
oct227202132564
957353822450
1020301002100
118678428395
123b26921130
131bb6b668a2
14da827a548
157dc3c6b00
hex4ba08b574

20301002100 has 54 divisors (see below), whose sum is σ = 63632366070. Its totient is φ = 5413600320.

The previous prime is 20301002063. The next prime is 20301002107. The reversal of 20301002100 is 120010302.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3126375396 + 17174626704 = 55914^2 + 131052^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301002107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11277435 + ... + 11279234.

Almost surely, 220301002100 is an apocalyptic number.

20301002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20301002100 is an abundant number, since it is smaller than the sum of its proper divisors (43331363970).

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

20301002100 is a wasteful number, since it uses less digits than its factorization.

20301002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22556689 (or 22556679 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20301002100 its reverse (120010302), we get a palindrome (20421012402).

The spelling of 20301002100 in words is "twenty billion, three hundred one million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 22556669 45113338 67670007 90226676 112783345 135340014 203010021 225566690 270680028 338350035 406020042 451133380 563916725 676700070 812040084 1015050105 1127833450 1353400140 1691750175 2030100210 2255666900 3383500350 4060200420 5075250525 6767000700 10150501050 20301002100