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31212013199994 = 232112412939118927
BaseRepresentation
bin1110001100011000111001…
…11101011010001001111010
311002111211122212100122210200
413012030130331122021322
513042334200334344434
6150214333444223030
76400664532534024
oct706143475321172
9132454585318720
1031212013199994
119a43a38835100
12360112009aa76
131455384830a03
1479c95316b014
15391d69491199
hex1c631cf5a27a

31212013199994 has 144 divisors (see below), whose sum is σ = 76172285105280. Its totient is φ = 9224281123200.

The previous prime is 31212013199993. The next prime is 31212013200013. The reversal of 31212013199994 is 49999131021213.

31212013199994 is a `hidden beast` number, since 31 + 2 + 1 + 201 + 319 + 9 + 9 + 94 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31212013199994.

It is not an unprimeable number, because it can be changed into a prime (31212013199993) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 262387359 + ... + 262506285.

It is an arithmetic number, because the mean of its divisors is an integer number (528974202120).

Almost surely, 231212013199994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31212013199994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38086142552640).

31212013199994 is an abundant number, since it is smaller than the sum of its proper divisors (44960271905286).

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

31212013199994 is a wasteful number, since it uses less digits than its factorization.

31212013199994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121937 (or 121923 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 31212013199994 in words is "thirty-one trillion, two hundred twelve billion, thirteen million, one hundred ninety-nine thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 121 123 198 242 246 363 369 451 726 738 902 1089 1353 2178 2706 2939 4059 4961 5878 8118 8817 9922 14883 17634 26451 29766 32329 44649 52902 64658 89298 96987 118927 120499 193974 237854 240998 290961 355619 356781 361497 581922 711238 713562 722994 1066857 1070343 1084491 1308197 1325489 2133714 2140686 2168982 2616394 2650978 3200571 3924591 3976467 4876007 6401142 7849182 7952934 9752014 11773773 11929401 14390167 14580379 14628021 23547546 23858802 28780334 29160758 29256042 43170501 43741137 43884063 53636077 86341002 87482274 87768126 107272154 129511503 131223411 160908231 259023006 262446822 321816462 349526453 482724693 589996847 699052906 965449386 1048579359 1179993694 1769990541 2097158718 3145738077 3539981082 3844790983 5309971623 6291476154 7689581966 10619943246 11534372949 14330584573 23068745898 28661169146 34603118847 42292700813 42991753719 69206237694 84585401626 85983507438 126878102439 128975261157 157636430303 253756204878 257950522314 315272860606 380634307317 472909290909 761268614634 945818581818 1418727872727 1734000733333 2837455745454 3468001466666 5202002199999 10404004399998 15606006599997 31212013199994