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2002230013 = 72193136871
BaseRepresentation
bin111011101010111…
…1001101011111101
312011112112211020011
41313111321223331
513100032330023
6530402423221
7100421450200
oct16725715375
95145484204
102002230013
11938230053
1247a661b11
1325ba783b4
1414dcb9937
15baba350d
hex77579afd

2002230013 has 24 divisors (see below), whose sum is σ = 2459901120. Its totient is φ = 1620440640.

The previous prime is 2002230007. The next prime is 2002230019. The reversal of 2002230013 is 3100322002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2002230007) and next prime (2002230019).

It is not a de Polignac number, because 2002230013 - 217 = 2002098941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002229975 and 2002230002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002230019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287968 + ... + 294838.

It is an arithmetic number, because the mean of its divisors is an integer number (102495880).

Almost surely, 22002230013 is an apocalyptic number.

It is an amenable number.

2002230013 is a deficient number, since it is larger than the sum of its proper divisors (457671107).

2002230013 is a wasteful number, since it uses less digits than its factorization.

2002230013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2002230013 is about 44746.2849072412. The cubic root of 2002230013 is about 1260.3891493467.

Adding to 2002230013 its reverse (3100322002), we get a palindrome (5102552015).

The spelling of 2002230013 in words is "two billion, two million, two hundred thirty thousand, thirteen".

Divisors: 1 7 19 49 133 313 931 2191 5947 6871 15337 41629 48097 130549 291403 336679 913843 2150623 6396901 15054361 40861837 105380527 286032859 2002230013