Search a number
-
+
32100144100123 = 1115574331873721
BaseRepresentation
bin1110100110001111001011…
…01011111011001100011011
311012122202002020022222220111
413103013211223323030123
513201412043342200443
6152134334055505151
76522105331610611
oct723074553731433
9135582066288814
1032100144100123
11a25665a54a550
1237252813881b7
1314bb0522c76a8
147cd92608b6b1
153a9ee99a769d
hex1d31e5afb31b

32100144100123 has 8 divisors (see below), whose sum is σ = 35018380192176. Its totient is φ = 29181914870400.

The previous prime is 32100144100099. The next prime is 32100144100147.

32100144100123 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (32100144100099) and next prime (32100144100147).

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 32100144100123 - 237 = 31962705146651 is a prime.

It is a super-2 number, since 2×321001441001232 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32100144100094 and 32100144100103.

It is not an unprimeable number, because it can be changed into a prime (32100144100163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16194903 + ... + 18068623.

It is an arithmetic number, because the mean of its divisors is an integer number (4377297524022).

Almost surely, 232100144100123 is an apocalyptic number.

32100144100123 is a deficient number, since it is larger than the sum of its proper divisors (2918236092053).

32100144100123 is a wasteful number, since it uses less digits than its factorization.

32100144100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431165.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 3210014 and 4100123, that added together give a palindrome (7310137).

The spelling of 32100144100123 in words is "thirty-two trillion, one hundred billion, one hundred forty-four million, one hundred thousand, one hundred twenty-three".

Divisors: 1 11 1557433 1873721 17131763 20610931 2918194918193 32100144100123