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231303213301100 = 225219735407331609
BaseRepresentation
bin110100100101111001111001…
…110111010011110101101100
31010022222101000122001212201112
4310211321321313103311230
5220304132440101113400
62135535121304331152
766502051152214253
oct6445717167236554
91108871018055645
10231303213301100
1167778161934236
1221b38142173ab8
139c0aa51440355
1441191c720779a
151bb1ad9e17835
hexd25e79dd3d6c

231303213301100 has 72 divisors (see below), whose sum is σ = 504491599846080. Its totient is φ = 92048756728320.

The previous prime is 231303213301031. The next prime is 231303213301117. The reversal of 231303213301100 is 1103312303132.

It is a super-2 number, since 2×2313032133011002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697352096 + ... + 697683704.

It is an arithmetic number, because the mean of its divisors is an integer number (7006827775640).

Almost surely, 2231303213301100 is an apocalyptic number.

231303213301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231303213301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252245799923040).

231303213301100 is an abundant number, since it is smaller than the sum of its proper divisors (273188386544980).

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

231303213301100 is a wasteful number, since it uses less digits than its factorization.

231303213301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367227 (or 367220 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 231303213301100 its reverse (1103312303132), we get a palindrome (232406525604232).

The spelling of 231303213301100 in words is "two hundred thirty-one trillion, three hundred three billion, two hundred thirteen million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 394 788 985 1970 3940 4925 9850 19700 35407 70814 141628 177035 331609 354070 663218 708140 885175 1326436 1658045 1770350 3316090 3540700 6632180 6975179 8290225 13950358 16580450 27900716 33160900 34875895 65326973 69751790 130653946 139503580 174379475 261307892 326634865 348758950 653269730 697517900 1306539460 1633174325 3266348650 6532697300 11741279863 23482559726 46965119452 58706399315 117412798630 234825597260 293531996575 587063993150 1174127986300 2313032133011 4626064266022 9252128532044 11565160665055 23130321330110 46260642660220 57825803325275 115651606650550 231303213301100