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106101602333 is a prime number
BaseRepresentation
bin110001011010000100…
…1011111100000011101
3101010212101212212010022
41202310021133200131
53214244002233313
6120424205321525
710444203511406
oct1426411374035
9333771785108
10106101602333
1140aa7652261
12186912662a5
13a00b96041c
1451c755a9ad
152b5ec41c08
hex18b425f81d

106101602333 has 2 divisors, whose sum is σ = 106101602334. Its totient is φ = 106101602332.

The previous prime is 106101602317. The next prime is 106101602351. The reversal of 106101602333 is 333206101601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99122336569 + 6979265764 = 314837^2 + 83542^2 .

It is a cyclic number.

It is not a de Polignac number, because 106101602333 - 24 = 106101602317 is a prime.

It is a super-3 number, since 3×1061016023333 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106101604333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050801166 + 53050801167.

It is an arithmetic number, because the mean of its divisors is an integer number (53050801167).

Almost surely, 2106101602333 is an apocalyptic number.

It is an amenable number.

106101602333 is a deficient number, since it is larger than the sum of its proper divisors (1).

106101602333 is an equidigital number, since it uses as much as digits as its factorization.

106101602333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 106101602333 its reverse (333206101601), we get a palindrome (439307703934).

The spelling of 106101602333 in words is "one hundred six billion, one hundred one million, six hundred two thousand, three hundred thirty-three".