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101312343431 = 13232843119183
BaseRepresentation
bin101111001011010101…
…1111010110110000111
3100200111122001021222222
41132112223322312013
53124441424442211
6114313043042555
710214420465435
oct1362653726607
9320448037888
10101312343431
1139a6a1a4152
121777537045b
139727679b10
144c91475d55
15297e5671db
hex1796afad87

101312343431 has 16 divisors (see below), whose sum is σ = 113890323456. Its totient is φ = 89420824416.

The previous prime is 101312343427. The next prime is 101312343439. The reversal of 101312343431 is 134343213101.

It is a cyclic number.

It is not a de Polignac number, because 101312343431 - 22 = 101312343427 is a prime.

It is a super-2 number, since 2×1013123434312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101312343431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312343439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790466 + ... + 909648.

It is an arithmetic number, because the mean of its divisors is an integer number (7118145216).

Almost surely, 2101312343431 is an apocalyptic number.

101312343431 is a deficient number, since it is larger than the sum of its proper divisors (12577980025).

101312343431 is a wasteful number, since it uses less digits than its factorization.

101312343431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122062.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 101312343431 its reverse (134343213101), we get a palindrome (235655556532).

The spelling of 101312343431 in words is "one hundred one billion, three hundred twelve million, three hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 13 23 299 2843 36959 65389 119183 850057 1549379 2741209 35635717 338837269 4404884497 7793257187 101312343431