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231111020100 = 2235219367110479
BaseRepresentation
bin1101011100111101001…
…0100100111001000100
3211002112112011020221010
43113033102210321010
512241303410120400
6254100531122220
722461101154342
oct3271722447104
9732475136833
10231111020100
118a017167064
123895a743370
1318a41922bcc
14b285cd6992
1560298ae450
hex35cf4a4e44

231111020100 has 144 divisors (see below), whose sum is σ = 705799270400. Its totient is φ = 58226325120.

The previous prime is 231111020089. The next prime is 231111020117. The reversal of 231111020100 is 1020111132.

231111020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2311110201002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 2036661 + ... + 2147139.

Almost surely, 2231111020100 is an apocalyptic number.

231111020100 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 231111020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352899635200).

231111020100 is an abundant number, since it is smaller than the sum of its proper divisors (474688250300).

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

231111020100 is a wasteful number, since it uses less digits than its factorization.

231111020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110882 (or 110875 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 231111020100 its reverse (1020111132), we get a palindrome (232131131232).

The spelling of 231111020100 in words is "two hundred thirty-one billion, one hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 367 380 475 570 734 950 1101 1140 1425 1468 1835 1900 2202 2850 3670 4404 5505 5700 6973 7340 9175 11010 13946 18350 20919 22020 27525 27892 34865 36700 41838 55050 69730 83676 104595 110100 110479 139460 174325 209190 220958 331437 348650 418380 441916 522975 552395 662874 697300 1045950 1104790 1325748 1657185 2091900 2099101 2209580 2761975 3314370 4198202 5523950 6297303 6628740 8285925 8396404 10495505 11047900 12594606 16571850 20991010 25189212 31486515 33143700 40545793 41982020 52477525 62973030 81091586 104955050 121637379 125946060 157432575 162183172 202728965 209910100 243274758 314865150 405457930 486549516 608186895 629730300 770370067 810915860 1013644825 1216373790 1540740134 2027289650 2311110201 2432747580 3040934475 3081480268 3851850335 4054579300 4622220402 6081868950 7703700670 9244440804 11555551005 12163737900 15407401340 19259251675 23111102010 38518503350 46222204020 57777755025 77037006700 115555510050 231111020100