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1022020122020 = 225377001197273
BaseRepresentation
bin11101101111101010010…
…01010111010110100100
310121201000100011112011212
432313311021113112210
5113221044122401040
62101302022050552
7133560416462342
oct16676511272644
93551010145155
101022020122020
11364488795547
121460a8579a58
13754b7344641
1437674b44992
151b8b9a1bd65
hexedf52575a4

1022020122020 has 48 divisors (see below), whose sum is σ = 2204574826608. Its totient is φ = 397700352000.

The previous prime is 1022020122001. The next prime is 1022020122031. The reversal of 1022020122020 is 202210202201.

It can be written as a sum of positive squares in 8 ways, for example, as 184095916096 + 837924205924 = 429064^2 + 915382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1022020121986 and 1022020122004.

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 15 ways as a sum of consecutive naturals, for example, 5082104 + ... + 5279376.

It is an arithmetic number, because the mean of its divisors is an integer number (45928642221).

Almost surely, 21022020122020 is an apocalyptic number.

1022020122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022020122020 is an abundant number, since it is smaller than the sum of its proper divisors (1182554704588).

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

1022020122020 is a wasteful number, since it uses less digits than its factorization.

1022020122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204320 (or 204318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1022020122020 its reverse (202210202201), we get a palindrome (1224230324221).

The spelling of 1022020122020 in words is "one trillion, twenty-two billion, twenty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 7001 14002 28004 35005 70010 140020 197273 259037 394546 518074 789092 986365 1036148 1295185 1972730 2590370 3945460 5180740 7299101 14598202 29196404 36495505 72991010 145982020 1381108273 2762216546 5524433092 6905541365 13811082730 27622165460 51101006101 102202012202 204404024404 255505030505 511010061010 1022020122020