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201001022020020 = 223527291227562123
BaseRepresentation
bin101101101100111100110010…
…100001000101100110110100
3222100200111202211011110221210
4231230330302201011212310
5202321200043114120040
61551254332245241420
760223562463145665
oct5554746241054664
9870614684143853
10201001022020020
1159055066931a92
121a663417703270
1388204132045a1
14378c703aab36c
1518387703d6480
hexb6cf328459b4

201001022020020 has 48 divisors (see below), whose sum is σ = 563009092551360. Its totient is φ = 53580631501056.

The previous prime is 201001022019977. The next prime is 201001022020021. The reversal of 201001022020020 is 20020220100102.

201001022020020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 201001022019978 and 201001022020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001022020021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613617322 + ... + 613944801.

It is an arithmetic number, because the mean of its divisors is an integer number (11729356094820).

Almost surely, 2201001022020020 is an apocalyptic number.

201001022020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001022020020 is an abundant number, since it is smaller than the sum of its proper divisors (362008070531340).

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

201001022020020 is a wasteful number, since it uses less digits than its factorization.

201001022020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227564864 (or 1227564862 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201001022020020 its reverse (20020220100102), we get a palindrome (221021242120122).

The spelling of 201001022020020 in words is "two hundred one trillion, one billion, twenty-two million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2729 5458 8187 10916 13645 16374 27290 32748 40935 54580 81870 163740 1227562123 2455124246 3682686369 4910248492 6137810615 7365372738 12275621230 14730745476 18413431845 24551242460 36826863690 73653727380 3350017033667 6700034067334 10050051101001 13400068134668 16750085168335 20100102202002 33500170336670 40200204404004 50250255505005 67000340673340 100500511010010 201001022020020