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230220001002101 = 11241127736339833
BaseRepresentation
bin110100010110001001000101…
…011000010100001001110101
31010012010211001201000200102112
4310112021011120110021311
5220133411030224031401
62133345335225420405
766330563145460355
oct6426110530241165
91105124051020375
10230220001002101
116739a832819500
12219a221863a705
139b5c864686086
1440bc9c9558b65
151b9383d1a53bb
hexd16245614275

230220001002101 has 24 divisors (see below), whose sum is σ = 259426731661272. Its totient is φ = 204026352780800.

The previous prime is 230220001002083. The next prime is 230220001002109. The reversal of 230220001002101 is 101200100022032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15261914222500 + 214958086779601 = 3906650^2 + 14661449^2 .

It is not a de Polignac number, because 230220001002101 - 210 = 230220001001077 is a prime.

It is a super-2 number, since 2×2302200010021012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230220001002109) 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, 11834720 + ... + 24505113.

It is an arithmetic number, because the mean of its divisors is an integer number (10809447152553).

Almost surely, 2230220001002101 is an apocalyptic number.

It is an amenable number.

230220001002101 is a deficient number, since it is larger than the sum of its proper divisors (29206730659171).

230220001002101 is a wasteful number, since it uses less digits than its factorization.

230220001002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36341173 (or 36341162 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 230220001002101 its reverse (101200100022032), we get a palindrome (331420101024133).

The spelling of 230220001002101 in words is "two hundred thirty trillion, two hundred twenty billion, one million, two thousand, one hundred one".

Divisors: 1 11 41 121 451 1277 4961 14047 52357 154517 575927 6335197 36339833 399738163 1489933153 4397119793 16389264683 46405966741 180281911513 510465634151 1902644636381 5615121975661 20929091000191 230220001002101