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20300013011100 = 22352379971834333
BaseRepresentation
bin1001001110110011101110…
…00100001000000010011100
32122212122212210212120021110
410213121313010020002130
510130043411312323400
6111101410334102020
74163425150364424
oct447316704100234
978778783776243
1020300013011100
116517207140809
12233a34134a910
13b4338aa19904
14502750dc9484
152530b3764e50
hex12767710809c

20300013011100 has 144 divisors (see below), whose sum is σ = 60382665310688. Its totient is φ = 5261744655360.

The previous prime is 20300013011099. The next prime is 20300013011107. The reversal of 20300013011100 is 111031000302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300013011107) 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 47 ways as a sum of consecutive naturals, for example, 10149534 + ... + 11983866.

Almost surely, 220300013011100 is an apocalyptic number.

20300013011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20300013011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191332655344).

20300013011100 is an abundant number, since it is smaller than the sum of its proper divisors (40082652299588).

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

20300013011100 is a wasteful number, since it uses less digits than its factorization.

20300013011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835384 (or 1835377 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 20300013011100 its reverse (111031000302), we get a palindrome (20411044011402).

The spelling of 20300013011100 in words is "twenty trillion, three hundred billion, thirteen million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 997 1110 1850 1994 2220 2775 2991 3700 3988 4985 5550 5982 9970 11100 11964 14955 19940 24925 29910 36889 49850 59820 73778 74775 99700 110667 147556 149550 184445 221334 299100 368890 442668 553335 737780 922225 1106670 1834333 1844450 2213340 2766675 3668666 3688900 5502999 5533350 7337332 9171665 11005998 11066700 18343330 22011996 27514995 36686660 45858325 55029990 67870321 91716650 110059980 135740642 137574975 183433300 203610963 271481284 275149950 339351605 407221926 550299900 678703210 814443852 1018054815 1357406420 1696758025 1828830001 2036109630 3393516050 3657660002 4072219260 5090274075 5486490003 6787032100 7315320004 9144150005 10180548150 10972980006 18288300010 20361096300 21945960012 27432450015 36576600020 45720750025 54864900030 67666710037 91441500050 109729800060 135333420074 137162250075 182883000100 203000130111 270666840148 274324500150 338333550185 406000260222 548649000300 676667100370 812000520444 1015000650555 1353334200740 1691667750925 2030001301110 3383335501850 4060002602220 5075003252775 6766671003700 10150006505550 20300013011100