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230013102101 = 417018002961
BaseRepresentation
bin1101011000110111011…
…0010110100000010101
3210222201000020020120112
43112031312112200111
512232031323231401
6253355551012405
722421640052256
oct3261566264025
9728630206515
10230013102101
1189603444012
12386b2b0a105
13188c8320aa3
14b1c017ab2d
155eb32da3bb
hex358dd96815

230013102101 has 8 divisors (see below), whose sum is σ = 235959331608. Its totient is φ = 224082880000.

The previous prime is 230013102073. The next prime is 230013102119. The reversal of 230013102101 is 101201310032.

230013102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20921476 + 229992180625 = 4574^2 + 479575^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 230013102101 - 210 = 230013101077 is a prime.

It is a super-2 number, since 2×2300131021012 (a number of 24 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 (230013102181) 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 7 ways as a sum of consecutive naturals, for example, 3972740 + ... + 4030221.

It is an arithmetic number, because the mean of its divisors is an integer number (29494916451).

Almost surely, 2230013102101 is an apocalyptic number.

It is an amenable number.

230013102101 is a deficient number, since it is larger than the sum of its proper divisors (5946229507).

230013102101 is an equidigital number, since it uses as much as digits as its factorization.

230013102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8003703.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 230013102101 its reverse (101201310032), we get a palindrome (331214412133).

The spelling of 230013102101 in words is "two hundred thirty billion, thirteen million, one hundred two thousand, one hundred one".

Divisors: 1 41 701 28741 8002961 328121401 5610075661 230013102101