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220001020011120 = 2435916670916713
BaseRepresentation
bin110010000001011011111010…
…101001011110001001110000
31001211221220002100102111102210
4302001123322221132021300
5212313444042110323440
62055523023502012120
764224356236313655
oct6201337251361160
91054856070374383
10220001020011120
116410a9aa421887
1220811808577040
13959b01299829a
143c4816b51bc2c
151a67ae875aa80
hexc816faa5e270

220001020011120 has 40 divisors (see below), whose sum is σ = 682003162035216. Its totient is φ = 58666938669568.

The previous prime is 220001020011109. The next prime is 220001020011127. The reversal of 220001020011120 is 21110020100022.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 220001020011096 and 220001020011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220001020011127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458335458117 + ... + 458335458596.

Almost surely, 2220001020011120 is an apocalyptic number.

220001020011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220001020011120 is an abundant number, since it is smaller than the sum of its proper divisors (462002142024096).

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

220001020011120 is a wasteful number, since it uses less digits than its factorization.

220001020011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916670916729 (or 916670916723 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220001020011120 its reverse (21110020100022), we get a palindrome (241111040111142).

The spelling of 220001020011120 in words is "two hundred twenty trillion, one billion, twenty million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 916670916713 1833341833426 2750012750139 3666683666852 4583354583565 5500025500278 7333367333704 9166709167130 11000051000556 13750063750695 14666734667408 18333418334260 22000102001112 27500127501390 36666836668520 44000204002224 55000255002780 73333673337040 110000510005560 220001020011120