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10000432242311 = 7191072861245621
BaseRepresentation
bin1001000110000110100000…
…1101100001111010000111
31022102000212022120102210212
42101201220031201322013
52302321341123223221
633134045105310035
72051336014344050
oct221415015417207
938360768512725
1010000432242311
113206183321075
12115619863531b
135770628785c4
142680486c7727
15125202d74b5b
hex91868361e87

10000432242311 has 32 divisors (see below), whose sum is σ = 12147324433920. Its totient is φ = 8041913193600.

The previous prime is 10000432242287. The next prime is 10000432242379. The reversal of 10000432242311 is 11324223400001.

It is a cyclic number.

It is not a de Polignac number, because 10000432242311 - 218 = 10000431980167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000432242391) 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 in 31 ways as a sum of consecutive naturals, for example, 40592081 + ... + 40837701.

It is an arithmetic number, because the mean of its divisors is an integer number (379603888560).

Almost surely, 210000432242311 is an apocalyptic number.

10000432242311 is a deficient number, since it is larger than the sum of its proper divisors (2146892191609).

10000432242311 is a wasteful number, since it uses less digits than its factorization.

10000432242311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248615.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10000432242311 its reverse (11324223400001), we get a palindrome (21324655642312).

The spelling of 10000432242311 in words is "ten trillion, four hundred thirty-two million, two hundred forty-two thousand, three hundred eleven".

Divisors: 1 7 19 107 133 749 2033 2861 14231 20027 54359 245621 306127 380513 1719347 2142889 4666799 5816413 26281447 32667593 40714891 183970129 499347493 702721681 3495432451 4919051767 13351711939 75191219867 93461983573 526338539069 1428633177473 10000432242311