Search a number
-
+
123321013113012 = 2231113190737685051
BaseRepresentation
bin11100000010100011101001…
…001011100001000010110100
3121011122101002102212002011120
4130002203221023201002310
5112130442413324104022
61114140520305303540
734655435444655021
oct3402435113410264
9534571072762146
10123321013113012
1136326169a25a90
12119b8531934bb0
1353a7177311a50
142264aa9b52548
15e3cce11e5d5c
hex7028e92e10b4

123321013113012 has 96 divisors (see below), whose sum is σ = 338232084632064. Its totient is φ = 34477298544000.

The previous prime is 123321013112989. The next prime is 123321013113029. The reversal of 123321013113012 is 210311310123321.

It is a congruent number.

It is an unprimeable number.

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, 15570114 + ... + 22114937.

It is an arithmetic number, because the mean of its divisors is an integer number (3523250881584).

Almost surely, 2123321013113012 is an apocalyptic number.

123321013113012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123321013113012 is an abundant number, since it is smaller than the sum of its proper divisors (214911071519052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123321013113012 is a wasteful number, since it uses less digits than its factorization.

123321013113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37686989 (or 37686987 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 123321013113012 its reverse (210311310123321), we get a palindrome (333632323236333).

The spelling of 123321013113012 in words is "one hundred twenty-three trillion, three hundred twenty-one billion, thirteen million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 1907 3814 5721 7628 11442 20977 22884 24791 41954 49582 62931 74373 83908 99164 125862 148746 251724 272701 297492 545402 818103 1090804 1636206 3272412 37685051 75370102 113055153 150740204 226110306 414535561 452220612 489905663 829071122 979811326 1243606683 1469716989 1658142244 1959622652 2487213366 2939433978 4974426732 5388962293 5878867956 10777924586 16166886879 21555849172 32333773758 64667547516 71865392257 143730784514 215596176771 287461569028 431192353542 790519314827 862384707084 934250099341 1581038629654 1868500198682 2371557944481 2802750298023 3162077259308 3737000397364 4743115888962 5605500596046 9486231777924 10276751092751 11211001192092 20553502185502 30830253278253 41107004371004 61660506556506 123321013113012