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231331330100100 = 2235228315859171811
BaseRepresentation
bin110100100110010100000101…
…110000011000101110000100
31010100002001121010210020222110
4310212110011300120232010
5220310113031001200400
62140000051305101020
766504065004111216
oct6446240560305604
91110061533706873
10231331330100100
11677890800564aa
1221b4168a487770
139c105b2604019
14411a6d34bc5b6
151bb26d3550e50
hexd26505c18b84

231331330100100 has 144 divisors (see below), whose sum is σ = 671729995139840. Its totient is φ = 61466140828800.

The previous prime is 231331330100041. The next prime is 231331330100149. The reversal of 231331330100100 is 1001033133132.

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, 1346343195 + ... + 1346515005.

Almost surely, 2231331330100100 is an apocalyptic number.

231331330100100 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 231331330100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335864997569920).

231331330100100 is an abundant number, since it is smaller than the sum of its proper divisors (440398665039740).

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

231331330100100 is a wasteful number, since it uses less digits than its factorization.

231331330100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187970 (or 187963 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 231331330100100 its reverse (1001033133132), we get a palindrome (232332363233232).

The spelling of 231331330100100 in words is "two hundred thirty-one trillion, three hundred thirty-one billion, three hundred thirty million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 283 300 566 849 1132 1415 1698 2830 3396 4245 5660 7075 8490 14150 15859 16980 21225 28300 31718 42450 47577 63436 79295 84900 95154 158590 171811 190308 237885 317180 343622 396475 475770 515433 687244 792950 859055 951540 1030866 1189425 1585900 1718110 2061732 2378850 2577165 3436220 4295275 4488097 4757700 5154330 8590550 8976194 10308660 12885825 13464291 17181100 17952388 22440485 25771650 26928582 44880970 48622513 51543300 53857164 67321455 89761940 97245026 112202425 134642910 145867539 194490052 224404850 243112565 269285820 291735078 336607275 448809700 486225130 583470156 673214550 729337695 972450260 1215562825 1346429100 1458675390 2431125650 2724750649 2917350780 3646688475 4862251300 5449501298 7293376950 8174251947 10899002596 13623753245 14586753900 16348503894 27247506490 32697007788 40871259735 54495012980 68118766225 81742519470 136237532450 163485038940 204356298675 272475064900 408712597350 771104433667 817425194700 1542208867334 2313313301001 3084417734668 3855522168335 4626626602002 7711044336670 9253253204004 11566566505005 15422088673340 19277610841675 23133133010010 38555221683350 46266266020020 57832832525025 77110443366700 115665665050050 231331330100100