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230001122101 = 2337937976949
BaseRepresentation
bin1101011000110100100…
…0101001101100110101
3210222200011200121002211
43112031020221230311
512232020241401401
6253354442133421
722421433165202
oct3261510515465
9728604617084
10230001122101
11895a7701293
12386aaab1271
13188c59b7c2a
14b1bc73cca9
155eb2220951
hex358d229b35

230001122101 has 16 divisors (see below), whose sum is σ = 240732432000. Its totient is φ = 219331240128.

The previous prime is 230001122093. The next prime is 230001122137. The reversal of 230001122101 is 101221100032.

230001122101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 230001122101 - 23 = 230001122093 is a prime.

It is a super-4 number, since 4×2300011221014 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230001122401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33094975 + ... + 33101923.

It is an arithmetic number, because the mean of its divisors is an integer number (15045777000).

Almost surely, 2230001122101 is an apocalyptic number.

It is an amenable number.

230001122101 is a deficient number, since it is larger than the sum of its proper divisors (10731309899).

230001122101 is a wasteful number, since it uses less digits than its factorization.

230001122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11148.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 230001122101 its reverse (101221100032), we get a palindrome (331222222133).

The spelling of 230001122101 in words is "two hundred thirty billion, one million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 23 379 3797 6949 8717 87331 159827 1439063 2633671 26385353 33098449 60574433 606863119 10000048787 230001122101