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20202210020000 = 25541815580721
BaseRepresentation
bin1001001011111101100011…
…00011010100101010100000
32122112022102202021211122202
410211332301203110222200
510121443111231120000
6110544433412352332
74153363411566611
oct445766143245240
978468382254582
1020202210020000
116489788981a48
1223233a73156a8
13b370a2432248
144dbb13a67c08
1525078c355dd5
hex125fb18d4aa0

20202210020000 has 120 divisors (see below), whose sum is σ = 49975064151012. Its totient is φ = 8036236800000.

The previous prime is 20202210019997. The next prime is 20202210020033. The reversal of 20202210020000 is 2001220202.

It can be written as a sum of positive squares in 10 ways, for example, as 1386638133136 + 18815571886864 = 1177556^2 + 4337692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829640 + ... + 6410360.

Almost surely, 220202210020000 is an apocalyptic number.

20202210020000 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 20202210020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24987532075506).

20202210020000 is an abundant number, since it is smaller than the sum of its proper divisors (29772854131012).

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

20202210020000 is an equidigital number, since it uses as much as digits as its factorization.

20202210020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580932 (or 5580909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20202210020000 its reverse (2001220202), we get a palindrome (20204211240202).

The spelling of 20202210020000 in words is "twenty trillion, two hundred two billion, two hundred ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 181 200 250 362 400 500 625 724 800 905 1000 1250 1448 1810 2000 2500 2896 3620 4000 4525 5000 5792 7240 9050 10000 14480 18100 20000 22625 28960 36200 45250 72400 90500 113125 144800 181000 226250 362000 452500 724000 905000 1810000 3620000 5580721 11161442 22322884 27903605 44645768 55807210 89291536 111614420 139518025 178583072 223228840 279036050 446457680 558072100 697590125 892915360 1010110501 1116144200 1395180250 2020221002 2232288400 2790360500 3487950625 4040442004 4464576800 5050552505 5580721000 6975901250 8080884008 10101105010 11161442000 13951802500 16161768016 20202210020 22322884000 25252762525 27903605000 32323536032 40404420040 50505525050 55807210000 80808840080 101011050100 111614420000 126263812625 161617680160 202022100200 252527625250 404044200400 505055250500 631319063125 808088400800 1010110501000 1262638126250 2020221002000 2525276252500 4040442004000 5050552505000 10101105010000 20202210020000