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20021102002120 = 235618205369673
BaseRepresentation
bin1001000110101100001101…
…01011000011111111001000
32121212222222000121021121211
410203112012223003333020
510111011204103031440
6110325322311142504
74134322400050642
oct443260653037710
977788860537554
1020021102002120
1164199a114960a
1222b4282674a34
13b22c9c09071b
144d3052a43892
1524abdc730eea
hex123586ac3fc8

20021102002120 has 32 divisors (see below), whose sum is σ = 45785962780920. Its totient is φ = 7877154885120.

The previous prime is 20021102002117. The next prime is 20021102002129. The reversal of 20021102002120 is 2120020112002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11005819520004 + 9015282482116 = 3317502^2 + 3002546^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20021102002120.

It is not an unprimeable number, because it can be changed into a prime (20021102002129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4102682397 + ... + 4102687276.

Almost surely, 220021102002120 is an apocalyptic number.

20021102002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021102002120 is an abundant number, since it is smaller than the sum of its proper divisors (25764860778800).

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

20021102002120 is a wasteful number, since it uses less digits than its factorization.

20021102002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8205369745 (or 8205369741 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20021102002120 its reverse (2120020112002), we get a palindrome (22141122114122).

The spelling of 20021102002120 in words is "twenty trillion, twenty-one billion, one hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 8205369673 16410739346 32821478692 41026848365 65642957384 82053696730 164107393460 328214786920 500527550053 1001055100106 2002110200212 2502637750265 4004220400424 5005275500530 10010551001060 20021102002120