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20310101100 = 22325222566779
BaseRepresentation
bin10010111010100100…
…111000110001101100
31221102110001000222200
4102322210320301230
5313043341213400
613155203541500
71316206003512
oct227244706154
957373030880
1020310101100
118682582623
123b2998a890
131bb8a01303
14da95684b2
157dd0c2b00
hex4ba938c6c

20310101100 has 54 divisors (see below), whose sum is σ = 63660886380. Its totient is φ = 5416026720.

The previous prime is 20310101069. The next prime is 20310101107. The reversal of 20310101100 is 110101302.

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

It is not an unprimeable number, because it can be changed into a prime (20310101107) 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 17 ways as a sum of consecutive naturals, for example, 11282490 + ... + 11284289.

Almost surely, 220310101100 is an apocalyptic number.

20310101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20310101100 is an abundant number, since it is smaller than the sum of its proper divisors (43350785280).

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

20310101100 is a wasteful number, since it uses less digits than its factorization.

20310101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22566799 (or 22566789 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 20310101100 its reverse (110101302), we get a palindrome (20420202402).

The spelling of 20310101100 in words is "twenty billion, three hundred ten million, one hundred one 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 22566779 45133558 67700337 90267116 112833895 135400674 203101011 225667790 270801348 338501685 406202022 451335580 564169475 677003370 812404044 1015505055 1128338950 1354006740 1692508425 2031010110 2256677900 3385016850 4062020220 5077525275 6770033700 10155050550 20310101100