Search a number
-
+
101314442129 = 178756695267
BaseRepresentation
bin101111001011011001…
…1111011001110010001
3100200111202222220212112
41132112303323032101
53124442444122004
6114313200035105
710214444356205
oct1362663731621
9320452886775
10101314442129
1139a703a7a0a
1217776002a95
139727c33154
144c91860b05
15297e82de6e
hex1796cfb391

101314442129 has 4 divisors (see below), whose sum is σ = 101371139184. Its totient is φ = 101257745076.

The previous prime is 101314442113. The next prime is 101314442143. The reversal of 101314442129 is 921244413101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 921244413101 = 8111135936391.

It is a cyclic number.

It is not a de Polignac number, because 101314442129 - 24 = 101314442113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101314442095 and 101314442104.

It is not an unprimeable number, because it can be changed into a prime (101314442149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28345847 + ... + 28349420.

It is an arithmetic number, because the mean of its divisors is an integer number (25342784796).

Almost surely, 2101314442129 is an apocalyptic number.

It is an amenable number.

101314442129 is a deficient number, since it is larger than the sum of its proper divisors (56697055).

101314442129 is an equidigital number, since it uses as much as digits as its factorization.

101314442129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56697054.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 101314442129 in words is "one hundred one billion, three hundred fourteen million, four hundred forty-two thousand, one hundred twenty-nine".

Divisors: 1 1787 56695267 101314442129