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20111004344400 = 2435216759170287
BaseRepresentation
bin1001001001010011101010…
…10001010010000001010000
32122012121000110201110112120
410210221311101102001100
510113444314103010100
6110434511242254240
74143654302256054
oct444516521220120
978177013643476
1020111004344400
116454035728a42
1223097927b7380
13b2b5c88ac368
144d754099dc64
1524d20021c0a0
hex124a75452050

20111004344400 has 60 divisors (see below), whose sum is σ = 64422250587072. Its totient is φ = 5362934491520.

The previous prime is 20111004344369. The next prime is 20111004344411. The reversal of 20111004344400 is 444340011102.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×201110043444002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8379583944 + ... + 8379586343.

Almost surely, 220111004344400 is an apocalyptic number.

20111004344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111004344400 is an abundant number, since it is smaller than the sum of its proper divisors (44311246242672).

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

20111004344400 is a wasteful number, since it uses less digits than its factorization.

20111004344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16759170308 (or 16759170297 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20111004344400 its reverse (444340011102), we get a palindrome (20555344355502).

The spelling of 20111004344400 in words is "twenty trillion, one hundred eleven billion, four million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 16759170287 33518340574 50277510861 67036681148 83795851435 100555021722 134073362296 167591702870 201110043444 251387554305 268146724592 335183405740 402220086888 418979257175 502775108610 670366811480 804440173776 837958514350 1005550217220 1256937771525 1340733622960 1675917028700 2011100434440 2513875543050 3351834057400 4022200868880 5027751086100 6703668114800 10055502172200 20111004344400