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202021001120 = 25510911583773
BaseRepresentation
bin1011110000100101100…
…0111101011110100000
3201022110012011011211202
42330021120331132200
511302214334013440
6232450203100332
720411161114361
oct2741130753640
9638405134752
10202021001120
1178749652264
12331a05116a8
1316086c3a523
149ac6685b68
1553c5ad4615
hex2f0963d7a0

202021001120 has 48 divisors (see below), whose sum is σ = 481653322920. Its totient is φ = 80067032064.

The previous prime is 202021001089. The next prime is 202021001201. The reversal of 202021001120 is 21100120202.

It is a happy number.

202021001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 201985527184 + 35473936 = 449428^2 + 5956^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5774447 + ... + 5809326.

Almost surely, 2202021001120 is an apocalyptic number.

202021001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202021001120 is an abundant number, since it is smaller than the sum of its proper divisors (279632321800).

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

202021001120 is a wasteful number, since it uses less digits than its factorization.

202021001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11583897 (or 11583889 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202021001120 its reverse (21100120202), we get a palindrome (223121121322).

The spelling of 202021001120 in words is "two hundred two billion, twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3488 4360 8720 17440 11583773 23167546 46335092 57918865 92670184 115837730 185340368 231675460 370680736 463350920 926701840 1262631257 1853403680 2525262514 5050525028 6313156285 10101050056 12626312570 20202100112 25252625140 40404200224 50505250280 101010500560 202021001120