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230023101 = 37211197487
BaseRepresentation
bin11011011010111…
…01111110111101
3121000211101101010
431231131332331
5432341214401
634454105433
75462110200
oct1555357675
9530741333
10230023101
11108929840
126504b279
1338869959
1422799937
15152d9ed6
hexdb5dfbd

230023101 has 48 divisors (see below), whose sum is σ = 409743360. Its totient is φ = 113188320.

The previous prime is 230023067. The next prime is 230023109. The reversal of 230023101 is 101320032.

It is a happy number.

It is not a de Polignac number, because 230023101 - 214 = 230006717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230023109) 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, 26980 + ... + 34466.

It is an arithmetic number, because the mean of its divisors is an integer number (8536320).

Almost surely, 2230023101 is an apocalyptic number.

230023101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230023101 is a deficient number, since it is larger than the sum of its proper divisors (179720259).

230023101 is a wasteful number, since it uses less digits than its factorization.

230023101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 230023101 is about 15166.5124863958. The cubic root of 230023101 is about 612.7130796057.

Adding to 230023101 its reverse (101320032), we get a palindrome (331343133).

The spelling of 230023101 in words is "two hundred thirty million, twenty-three thousand, one hundred one".

Divisors: 1 3 7 11 19 21 33 49 57 77 133 147 209 231 399 539 627 931 1463 1617 2793 4389 7487 10241 22461 30723 52409 82357 142253 157227 247071 366863 426759 576499 995771 1100589 1564783 1729497 2987313 4035493 4694349 6970397 10953481 12106479 20911191 32860443 76674367 230023101