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2000202220020 = 2235371171769421
BaseRepresentation
bin11101000110110101010…
…101111100000111110100
321002012212112100200200110
4131012311111330013310
5230232403232020040
64130514043143020
7264336606226554
oct35066525740764
97065775320613
102000202220020
1170131000a774
1228379b814a70
13116806417ca4
146cb4b68d164
153706ab24980
hex1d1b557c1f4

2000202220020 has 96 divisors (see below), whose sum is σ = 5756852336256. Its totient is φ = 518527526400.

The previous prime is 2000202220013. The next prime is 2000202220033. The reversal of 2000202220020 is 200222020002.

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 = 2000202219978 and 2000202220005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2214910 + ... + 2984330.

It is an arithmetic number, because the mean of its divisors is an integer number (59967211836).

Almost surely, 22000202220020 is an apocalyptic number.

2000202220020 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 2000202220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878426168128).

2000202220020 is an abundant number, since it is smaller than the sum of its proper divisors (3756650116236).

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

2000202220020 is a wasteful number, since it uses less digits than its factorization.

2000202220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770641 (or 770639 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 2000202220020 its reverse (200222020002), we get a palindrome (2200424240022).

It can be divided in two parts, 2000202 and 220020, that added together give a palindrome (2220222).

The spelling of 2000202220020 in words is "two trillion, two hundred two million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1171 2220 2342 3513 4684 5855 7026 11710 14052 17565 23420 35130 43327 70260 86654 129981 173308 216635 259962 433270 519924 649905 769421 866540 1299810 1538842 2308263 2599620 3077684 3847105 4616526 7694210 9233052 11541315 15388420 23082630 28468577 46165260 56937154 85405731 113874308 142342885 170811462 284685770 341622924 427028655 569371540 854057310 900991991 1708114620 1801983982 2702975973 3603967964 4504959955 5405951946 9009919910 10811903892 13514879865 18019839820 27029759730 33336703667 54059519460 66673407334 100010111001 133346814668 166683518335 200020222002 333367036670 400040444004 500050555005 666734073340 1000101110010 2000202220020