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10012331113323 = 3721115745618647
BaseRepresentation
bin1001000110110010110101…
…1100000111101101101011
31022110011120120101201021020
42101230231130013231223
52303020223231111243
633143333523343523
72052236620154100
oct221545534075553
938404516351236
1010012331113323
11321022998aa70
121158559521ba3
1357820aa92796
14268856adcaa7
1512569c7bb283
hex91b2d707b6b

10012331113323 has 96 divisors (see below), whose sum is σ = 17054702258688. Its totient is φ = 5166351590400.

The previous prime is 10012331113313. The next prime is 10012331113327. The reversal of 10012331113323 is 32331113321001.

It is not a de Polignac number, because 10012331113323 - 26 = 10012331113259 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012331113293 and 10012331113302.

It is not an unprimeable number, because it can be changed into a prime (10012331113327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1157892186 + ... + 1157900832.

It is an arithmetic number, because the mean of its divisors is an integer number (177653148528).

Almost surely, 210012331113323 is an apocalyptic number.

10012331113323 is a deficient number, since it is larger than the sum of its proper divisors (7042371145365).

10012331113323 is a wasteful number, since it uses less digits than its factorization.

10012331113323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13393 (or 13386 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10012331113323 its reverse (32331113321001), we get a palindrome (42343444434324).

The spelling of 10012331113323 in words is "ten trillion, twelve billion, three hundred thirty-one million, one hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 7 11 21 33 49 77 147 157 231 471 539 1099 1617 1727 3297 4561 5181 7693 8647 12089 13683 23079 25941 31927 36267 50171 60529 84623 95117 95781 150513 181587 223489 253869 285351 351197 423703 665819 670467 716077 1053591 1271109 1357579 1997457 2148231 2458379 4072737 4660733 5012539 7375137 7876847 9503053 13982199 14933369 15037617 23630541 28509159 35087773 39438967 44800107 55137929 66521371 104533583 105263319 118316901 165413787 199564113 276072769 313600749 385965503 433828637 731735081 828218307 1157896509 1301485911 1932509383 2195205243 3036800459 5797528149 6191917819 9110401377 18575753457 21257603213 43343424733 63772809639 68111096009 130030274199 204333288027 303403973131 476777672063 910211919393 1430333016189 3337443704441 10012331113323