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101233033309 is a prime number
BaseRepresentation
bin101111001000111110…
…1011000000001011101
3100200022002210220222001
41132101331120001131
53124311124031214
6114301131122301
710212435404542
oct1362175300135
9320262726861
10101233033309
1139a294542a1
12177528a3391
1397140cb755
144c84b0cbc9
1529775ecc74
hex1791f5805d

101233033309 has 2 divisors, whose sum is σ = 101233033310. Its totient is φ = 101233033308.

The previous prime is 101233033283. The next prime is 101233033331. The reversal of 101233033309 is 903330332101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100714196025 + 518837284 = 317355^2 + 22778^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101233033309 is a prime.

It is a super-2 number, since 2×1012330333092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101233033379) 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, 50616516654 + 50616516655.

It is an arithmetic number, because the mean of its divisors is an integer number (50616516655).

Almost surely, 2101233033309 is an apocalyptic number.

It is an amenable number.

101233033309 is a deficient number, since it is larger than the sum of its proper divisors (1).

101233033309 is an equidigital number, since it uses as much as digits as its factorization.

101233033309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 28.

The spelling of 101233033309 in words is "one hundred one billion, two hundred thirty-three million, thirty-three thousand, three hundred nine".