Search a number
-
+
106641141701 is a prime number
BaseRepresentation
bin110001101010001001…
…1101010111111000101
3101012021000010021222212
41203110103222333011
53221400113013301
6120553521433205
710463444514443
oct1432423527705
9335230107885
10106641141701
1141254165166
1218801a9b805
13a09667a4a3
145239085b93
152b922ba4bb
hex18d44eafc5

106641141701 has 2 divisors, whose sum is σ = 106641141702. Its totient is φ = 106641141700.

The previous prime is 106641141653. The next prime is 106641141743. The reversal of 106641141701 is 107141146601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104376809476 + 2264332225 = 323074^2 + 47585^2 .

It is a cyclic number.

It is not a de Polignac number, because 106641141701 - 218 = 106640879557 is a prime.

It is a super-2 number, since 2×1066411417012 (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 (106641141301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53320570850 + 53320570851.

It is an arithmetic number, because the mean of its divisors is an integer number (53320570851).

Almost surely, 2106641141701 is an apocalyptic number.

It is an amenable number.

106641141701 is a deficient number, since it is larger than the sum of its proper divisors (1).

106641141701 is an equidigital number, since it uses as much as digits as its factorization.

106641141701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 106641141701 in words is "one hundred six billion, six hundred forty-one million, one hundred forty-one thousand, seven hundred one".