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20012001202000 = 245310006000601
BaseRepresentation
bin1001000110011011010000…
…01110010000111101010000
32121212010110202211201211201
410203031220032100331100
510110334034301431000
6110321215245320544
74133551021402663
oct443155016207520
977763422751751
1020012001202000
116416050a6a7a5
1222b2562866154
13b2217b7796b2
144d282c0ad6da
1524a85879296a
hex123368390f50

20012001202000 has 40 divisors (see below), whose sum is σ = 48389018911272. Its totient is φ = 8004800480000.

The previous prime is 20012001201943. The next prime is 20012001202051. The reversal of 20012001202000 is 20210021002.

It can be written as a sum of positive squares in 4 ways, for example, as 3796979605056 + 16215021596944 = 1948584^2 + 4026788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 5002998301 + ... + 5003002300.

Almost surely, 220012001202000 is an apocalyptic number.

20012001202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012001202000 is an abundant number, since it is smaller than the sum of its proper divisors (28377017709272).

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

20012001202000 is a wasteful number, since it uses less digits than its factorization.

20012001202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006000624 (or 10006000608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20012001202000 its reverse (20210021002), we get a palindrome (20032211223002).

The spelling of 20012001202000 in words is "twenty trillion, twelve billion, one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10006000601 20012001202 40024002404 50030003005 80048004808 100060006010 160096009616 200120012020 250150015025 400240024040 500300030050 800480048080 1000600060100 1250750075125 2001200120200 2501500150250 4002400240400 5003000300500 10006000601000 20012001202000