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2002123020 = 2235123127107
BaseRepresentation
bin111011101010101…
…1111100100001100
312011112100101110110
41313111133210030
513100020414040
6530400240020
7100420523232
oct16725374414
95145311413
102002123020
11938167727
1247a610010
1325ba3b7a1
1414dc8c952
15bab81980
hex7755f90c

2002123020 has 48 divisors (see below), whose sum is σ = 5610705408. Its totient is φ = 533446080.

The previous prime is 2002122989. The next prime is 2002123027. The reversal of 2002123020 is 203212002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002122987 and 2002123005.

It is not an unprimeable number, because it can be changed into a prime (2002123027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60307 + ... + 87413.

It is an arithmetic number, because the mean of its divisors is an integer number (116889696).

Almost surely, 22002123020 is an apocalyptic number.

2002123020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002123020 is an abundant number, since it is smaller than the sum of its proper divisors (3608582388).

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

2002123020 is a wasteful number, since it uses less digits than its factorization.

2002123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28350 (or 28348 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2002123020 is about 44745.0893395018. The cubic root of 2002123020 is about 1260.3666985098.

Adding to 2002123020 its reverse (203212002), we get a palindrome (2205335022).

The spelling of 2002123020 in words is "two billion, two million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1231 2462 3693 4924 6155 7386 12310 14772 18465 24620 27107 36930 54214 73860 81321 108428 135535 162642 271070 325284 406605 542140 813210 1626420 33368717 66737434 100106151 133474868 166843585 200212302 333687170 400424604 500530755 667374340 1001061510 2002123020