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31101130022300 = 225213199720035981
BaseRepresentation
bin1110001001001010010111…
…10011101001110110011100
311002010020110020002121101122
413010211023303221312130
513034030103241203200
6150051354545030112
76356660665220342
oct704451363516634
9132106406077348
1031101130022300
119a00a08102578
1235a3735625338
131447a9337a370
14797434969992
1538e029a91385
hex1c494bce9d9c

31101130022300 has 144 divisors (see below), whose sum is σ = 72765811877472. Its totient is φ = 11470095436800.

The previous prime is 31101130022243. The next prime is 31101130022317. The reversal of 31101130022300 is 322003110113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5199985310 + ... + 5199991290.

It is an arithmetic number, because the mean of its divisors is an integer number (505318138038).

Almost surely, 231101130022300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31101130022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36382905938736).

31101130022300 is an abundant number, since it is smaller than the sum of its proper divisors (41664681855172).

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

31101130022300 is a wasteful number, since it uses less digits than its factorization.

31101130022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10008 (or 10001 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 31101130022300 its reverse (322003110113), we get a palindrome (31423133132413).

The spelling of 31101130022300 in words is "thirty-one trillion, one hundred one billion, one hundred thirty million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1997 2003 3994 4006 5981 7988 8012 9985 10015 11962 19970 20030 23924 25961 26039 29905 39940 40060 49925 50075 51922 52078 59810 77753 99850 100150 103844 104156 119620 129805 130195 149525 155506 199700 200300 259610 260390 299050 311012 388765 519220 520780 598100 649025 650975 777530 1298050 1301950 1555060 1943825 2596100 2603900 3887650 3999991 7775300 7999982 11944057 11979943 15999964 19999955 23888114 23959886 39999910 47776228 47919772 51999883 59720285 59899715 79999820 99999775 103999766 119440570 119799430 155272741 155739259 199999550 207999532 238881140 239598860 259999415 298601425 299498575 310545482 311478518 399999100 519998830 597202850 598997150 621090964 622957036 776363705 778696295 1039997660 1194405700 1197994300 1299997075 1552727410 1557392590 2599994150 3105454820 3114785180 3881818525 3893481475 5199988300 7763637050 7786962950 15527274100 15573925900 23923946171 47847892342 95695784684 119619730855 239239461710 311011300223 478478923420 598098654275 622022600446 1196197308550 1244045200892 1555056501115 2392394617100 3110113002230 6220226004460 7775282505575 15550565011150 31101130022300