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101233033331 is a prime number
BaseRepresentation
bin101111001000111110…
…1011000000001110011
3100200022002210220222212
41132101331120001303
53124311124031311
6114301131122335
710212435404603
oct1362175300163
9320262726885
10101233033331
1139a29454311
12177528a33ab
1397140cb771
144c84b0cc03
1529775ecc8b
hex1791f58073

101233033331 has 2 divisors, whose sum is σ = 101233033332. Its totient is φ = 101233033330.

The previous prime is 101233033309. The next prime is 101233033379. The reversal of 101233033331 is 133330332101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101233033331 is a prime.

It is a super-2 number, since 2×1012330333312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101233033297 and 101233033306.

It is not a weakly prime, because it can be changed into another prime (101233033931) 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 as a sum of consecutive naturals, namely, 50616516665 + 50616516666.

It is an arithmetic number, because the mean of its divisors is an integer number (50616516666).

Almost surely, 2101233033331 is an apocalyptic number.

101233033331 is a deficient number, since it is larger than the sum of its proper divisors (1).

101233033331 is an equidigital number, since it uses as much as digits as its factorization.

101233033331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 101233033331 its reverse (133330332101), we get a palindrome (234563365432).

The spelling of 101233033331 in words is "one hundred one billion, two hundred thirty-three million, thirty-three thousand, three hundred thirty-one".