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21002011202000 = 245352120155481
BaseRepresentation
bin1001100011001111010010…
…11010101101000111010000
32202100202212021022120121202
410301213221122231013100
510223044104331431000
6112400105111410332
74265226262506413
oct461475132550720
982322767276552
1021002011202000
1167679a2890844
1224323b70839a8
13b9463414961a
14528707837b7a
1526649ce73dd5
hex1319e96ad1d0

21002011202000 has 80 divisors (see below), whose sum is σ = 50880337516944. Its totient is φ = 8384679680000.

The previous prime is 21002011201933. The next prime is 21002011202017. The reversal of 21002011202000 is 20211020012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7587138034576 + 13414873167424 = 2754476^2 + 3662632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9035741 + ... + 11119740.

Almost surely, 221002011202000 is an apocalyptic number.

21002011202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002011202000 is an abundant number, since it is smaller than the sum of its proper divisors (29878326314944).

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

21002011202000 is a wasteful number, since it uses less digits than its factorization.

21002011202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20156025 (or 20156009 counting only the distinct ones).

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

Adding to 21002011202000 its reverse (20211020012), we get a palindrome (21022222222012).

The spelling of 21002011202000 in words is "twenty-one trillion, two billion, eleven million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 521 1000 1042 2000 2084 2605 4168 5210 8336 10420 13025 20840 26050 41680 52100 65125 104200 130250 208400 260500 521000 1042000 20155481 40310962 80621924 100777405 161243848 201554810 322487696 403109620 503887025 806219240 1007774050 1612438480 2015548100 2519435125 4031096200 5038870250 8062192400 10077740500 10501005601 20155481000 21002011202 40310962000 42004022404 52505028005 84008044808 105010056010 168016089616 210020112020 262525140025 420040224040 525050280050 840080448080 1050100560100 1312625700125 2100201120200 2625251400250 4200402240400 5250502800500 10501005601000 21002011202000