Search a number
-
+
181321091112 = 233717571111187
BaseRepresentation
bin1010100011011110010…
…1000100100000101000
3122100000120121210120010
42220313211010200220
510432321144403422
6215144152131520
716046206562460
oct2506745044050
9570016553503
10181321091112
116a997035517
122b184096ba0
1314138555475
148ac144aba0
154ab36b2b0c
hex2a37944828

181321091112 has 128 divisors (see below), whose sum is σ = 549499991040. Its totient is φ = 48672783360.

The previous prime is 181321091111. The next prime is 181321091143. The reversal of 181321091112 is 211190123181.

It is a self number, because there is not a number n which added to its sum of digits gives 181321091112.

It is not an unprimeable number, because it can be changed into a prime (181321091111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1575183 + ... + 1686369.

It is an arithmetic number, because the mean of its divisors is an integer number (4292968680).

Almost surely, 2181321091112 is an apocalyptic number.

181321091112 is a gapful number since it is divisible by the number (12) 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 181321091112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274749995520).

181321091112 is an abundant number, since it is smaller than the sum of its proper divisors (368178899928).

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

181321091112 is a wasteful number, since it uses less digits than its factorization.

181321091112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111791 (or 111787 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 30.

The spelling of 181321091112 in words is "one hundred eighty-one billion, three hundred twenty-one million, ninety-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 571 714 952 1142 1428 1713 2284 2856 3426 3997 4568 6852 7994 9707 11991 13704 15988 19414 23982 29121 31976 38828 47964 58242 67949 77656 95928 111187 116484 135898 203847 222374 232968 271796 333561 407694 444748 543592 667122 778309 815388 889496 1334244 1556618 1630776 1890179 2334927 2668488 3113236 3780358 4669854 5670537 6226472 7560716 9339708 11341074 13231253 15121432 18679416 22682148 26462506 39693759 45364296 52925012 63487777 79387518 105850024 126975554 158775036 190463331 253951108 317550072 380926662 444414439 507902216 761853324 888828878 1079292209 1333243317 1523706648 1777657756 2158584418 2666486634 3237876627 3555315512 4317168836 5332973268 6475753254 7555045463 8634337672 10665946536 12951506508 15110090926 22665136389 25903013016 30220181852 45330272778 60440363704 90660545556 181321091112