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230201023311 = 32747231133641
BaseRepresentation
bin1101011001100100001…
…1001101101101001111
3211000012002211122000100
43112121003031231033
512232422430221221
6253430342502143
722426411261440
oct3263103155517
9730162748010
10230201023311
118969a526aa6
1238745a34953
131892823927c
14b1db0d72c7
155ec4a5a926
hex35990cdb4f

230201023311 has 48 divisors (see below), whose sum is σ = 388279277568. Its totient is φ = 128685110400.

The previous prime is 230201023303. The next prime is 230201023319. The reversal of 230201023311 is 113320102032.

230201023311 is a `hidden beast` number, since 230 + 2 + 0 + 102 + 331 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (230201023303) and next prime (230201023319).

It is not a de Polignac number, because 230201023311 - 23 = 230201023303 is a prime.

It is a super-2 number, since 2×2302010233112 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230201023319) 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, 6826051 + ... + 6859691.

It is an arithmetic number, because the mean of its divisors is an integer number (8089151616).

Almost surely, 2230201023311 is an apocalyptic number.

230201023311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230201023311 is a deficient number, since it is larger than the sum of its proper divisors (158078254257).

230201023311 is a wasteful number, since it uses less digits than its factorization.

230201023311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36012 (or 36009 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230201023311 its reverse (113320102032), we get a palindrome (343521125343).

The spelling of 230201023311 in words is "two hundred thirty billion, two hundred one million, twenty-three thousand, three hundred eleven".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2311 2961 6933 16177 20799 33641 48531 100923 108617 145593 235487 302769 325851 706461 760319 977553 1581127 2119383 2280957 4743381 6842871 11067889 14230143 33203667 77744351 99611001 233233053 544210457 699699159 1632631371 3653984497 4897894113 10961953491 25577891479 32885860473 76733674437 230201023311