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20020002120100 = 2252769260338129
BaseRepresentation
bin1001000110101010001010…
…00111010110000110100100
32121212220010100222111010201
410203111011013112012210
510111001431020320400
6110325021221000244
74134253213155553
oct443250507260644
977786110874121
1020020002120100
116419487304a04
1222b4016253084
13b22b55251668
144d2d8a935d9a
1524ab75dc006a
hex1235451d61a4

20020002120100 has 36 divisors (see below), whose sum is σ = 43499898141700. Its totient is φ = 7997587292160.

The previous prime is 20020002120067. The next prime is 20020002120113. The reversal of 20020002120100 is 102120002002.

It can be written as a sum of positive squares in 6 ways, for example, as 4543029604 + 20015459090496 = 67402^2 + 4473864^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 130092165 + ... + 130245964.

Almost surely, 220020002120100 is an apocalyptic number.

20020002120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020002120100 is an abundant number, since it is smaller than the sum of its proper divisors (23479896021600).

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

20020002120100 is a wasteful number, since it uses less digits than its factorization.

20020002120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260338912 (or 260338905 counting only the distinct ones).

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

Adding to 20020002120100 its reverse (102120002002), we get a palindrome (20122122122102).

The spelling of 20020002120100 in words is "twenty trillion, twenty billion, two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 769 1538 3076 3845 7690 15380 19225 38450 76900 260338129 520676258 1041352516 1301690645 2603381290 5206762580 6508453225 13016906450 26033812900 200200021201 400400042402 800800084804 1001000106005 2002000212010 4004000424020 5005000530025 10010001060050 20020002120100