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20000201002002 = 23213454131882081
BaseRepresentation
bin1001000110000101010001…
…11000000100110000010010
32121211000000101200110120100
410203002220320010300102
510110140402424031002
6110311544314153230
74132652424351354
oct443025070046022
977730011613510
1020000201002002
1164110460748a1
1222b020aa22816
13b2101ab2c130
144d202cc210d4
1524a3b783c11c
hex1230a8e04c12

20000201002002 has 48 divisors (see below), whose sum is σ = 46668188083608. Its totient is φ = 6153769221120.

The previous prime is 20000201001929. The next prime is 20000201002003. The reversal of 20000201002002 is 20020010200002.

It can be written as a sum of positive squares in 4 ways, for example, as 10295300059641 + 9704900942361 = 3208629^2 + 3115269^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20000201002003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9685602 + ... + 11567682.

Almost surely, 220000201002002 is an apocalyptic number.

20000201002002 is an abundant number, since it is smaller than the sum of its proper divisors (26667987081606).

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

20000201002002 is a wasteful number, since it uses less digits than its factorization.

20000201002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927515 (or 1927512 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20000201002002 its reverse (20020010200002), we get a palindrome (40020211202004).

The spelling of 20000201002002 in words is "twenty trillion, two hundred one million, two thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 45413 90826 136239 272478 408717 590369 817434 1180738 1771107 1882081 3542214 3764162 5313321 5646243 10626642 11292486 16938729 24467053 33877458 48934106 73401159 146802318 220203477 440406954 85470944453 170941888906 256412833359 512825666718 769238500077 1111122277889 1538477000154 2222244555778 3333366833667 6666733667334 10000100501001 20000201002002