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202334013 = 32723472971
BaseRepresentation
bin11000000111101…
…01111100111101
3112002201122002100
430003311330331
5403244142023
632024415313
75004545040
oct1403657475
9462648070
10202334013
11a42375a2
1257917539
1332bc378b
141cc2cc57
1512b6ac43
hexc0f5f3d

202334013 has 48 divisors (see below), whose sum is σ = 356069376. Its totient is φ = 108203040.

The previous prime is 202334003. The next prime is 202334023. The reversal of 202334013 is 310433202.

It is an interprime number because it is at equal distance from previous prime (202334003) and next prime (202334023).

It is not a de Polignac number, because 202334013 - 210 = 202332989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202334003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66618 + ... + 69588.

It is an arithmetic number, because the mean of its divisors is an integer number (7418112).

Almost surely, 2202334013 is an apocalyptic number.

202334013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

202334013 is a deficient number, since it is larger than the sum of its proper divisors (153735363).

202334013 is a wasteful number, since it uses less digits than its factorization.

202334013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 202334013 is about 14224.4160864339. The cubic root of 202334013 is about 587.0696536407.

Adding to 202334013 its reverse (310433202), we get a palindrome (512767215).

The spelling of 202334013 in words is "two hundred two million, three hundred thirty-four thousand, thirteen".

Divisors: 1 3 7 9 21 23 47 63 69 141 161 207 329 423 483 987 1081 1449 2961 2971 3243 7567 8913 9729 20797 22701 26739 62391 68103 68333 139637 187173 204999 418911 478331 614997 977459 1256733 1434993 2932377 3211651 4304979 8797131 9634953 22481557 28904859 67444671 202334013