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2002020345 = 325139735281
BaseRepresentation
bin111011101010100…
…0110011111111001
312011112011011121200
41313111012133321
513100004122340
6530354124413
7100416615003
oct16725063771
95145134550
102002020345
119380a7576
1247a580709
1325ba03b30
1414dc63373
15bab61330
hex775467f9

2002020345 has 48 divisors (see below), whose sum is σ = 3775738512. Its totient is φ = 975421440.

The previous prime is 2002020343. The next prime is 2002020347. The reversal of 2002020345 is 5430202002.

It is an interprime number because it is at equal distance from previous prime (2002020343) and next prime (2002020347).

It can be written as a sum of positive squares in 8 ways, for example, as 395373456 + 1606646889 = 19884^2 + 40083^2 .

It is not a de Polignac number, because 2002020345 - 21 = 2002020343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002020343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39105 + ... + 74385.

It is an arithmetic number, because the mean of its divisors is an integer number (78661219).

Almost surely, 22002020345 is an apocalyptic number.

It is an amenable number.

2002020345 is a deficient number, since it is larger than the sum of its proper divisors (1773718167).

2002020345 is a wasteful number, since it uses less digits than its factorization.

2002020345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35402 (or 35399 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2002020345 is about 44743.9419921848. The cubic root of 2002020345 is about 1260.3451529867.

Adding to 2002020345 its reverse (5430202002), we get a palindrome (7432222347).

The spelling of 2002020345 in words is "two billion, two million, twenty thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 97 117 195 291 485 585 873 1261 1455 3783 4365 6305 11349 18915 35281 56745 105843 176405 317529 458653 529215 1375959 1587645 2293265 3422257 4127877 6879795 10266771 17111285 20639385 30800313 44489341 51333855 133468023 154001565 222446705 400404069 667340115 2002020345