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2002312123220 = 225216217463033
BaseRepresentation
bin11101001000110011000…
…110100101001101010100
321002102022120111212202102
4131020303012211031110
5230301213400420340
64131503253501232
7264443106141053
oct35106306451524
97072276455672
102002312123220
117021a2aa2222
1228408a341818
13116a81592616
146ccab99639a
1537140e96215
hex1d2331a5354

2002312123220 has 24 divisors (see below), whose sum is σ = 4204883987304. Its totient is φ = 800919415296.

The previous prime is 2002312123199. The next prime is 2002312123261. The reversal of 2002312123220 is 223212132002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 934880139664 + 1067431983556 = 966892^2 + 1033166^2 .

It is a super-3 number, since 3×20023121232203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2002312123192 and 2002312123201.

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, 4092824 + ... + 4555856.

It is an arithmetic number, because the mean of its divisors is an integer number (175203499471).

Almost surely, 22002312123220 is an apocalyptic number.

2002312123220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002312123220 is an abundant number, since it is smaller than the sum of its proper divisors (2202571864084).

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

2002312123220 is a wasteful number, since it uses less digits than its factorization.

2002312123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679259 (or 679257 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2002312123220 its reverse (223212132002), we get a palindrome (2225524255222).

The spelling of 2002312123220 in words is "two trillion, two billion, three hundred twelve million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 216217 432434 463033 864868 926066 1081085 1852132 2162170 2315165 4324340 4630330 9260660 100115606161 200231212322 400462424644 500578030805 1001156061610 2002312123220