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12031100172 = 223271316721991
BaseRepresentation
bin10110011010001110…
…00000010100001100
31011001110122012202200
423031013000110030
5144114430201142
65305500121500
7604066443540
oct131507002414
934043565680
1012031100172
1151142736a3
1223b9236290
1311997334b0
14821bd5a20
154a636564c
hex2cd1c050c

12031100172 has 144 divisors (see below), whose sum is σ = 37655933952. Its totient is φ = 3153893760.

The previous prime is 12031100171. The next prime is 12031100203. The reversal of 12031100172 is 27100113021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12031100171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536097 + ... + 558087.

Almost surely, 212031100172 is an apocalyptic number.

12031100172 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 12031100172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18827966976).

12031100172 is an abundant number, since it is smaller than the sum of its proper divisors (25624833780).

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

12031100172 is a wasteful number, since it uses less digits than its factorization.

12031100172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22188 (or 22183 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 12031100172 its reverse (27100113021), we get a palindrome (39131213193).

The spelling of 12031100172 in words is "twelve billion, thirty-one million, one hundred thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 167 182 234 252 273 334 364 468 501 546 668 819 1002 1092 1169 1503 1638 2004 2171 2338 3006 3276 3507 4342 4676 6012 6513 7014 8684 10521 13026 14028 15197 19539 21042 21991 26052 30394 39078 42084 43982 45591 60788 65973 78156 87964 91182 131946 136773 153937 182364 197919 263892 273546 285883 307874 395838 461811 547092 571766 615748 791676 857649 923622 1143532 1385433 1715298 1847244 2001181 2572947 2770866 3430596 3672497 4002362 5145894 5541732 6003543 7344994 8004724 10291788 11017491 12007086 14689988 18010629 22034982 24014172 25707479 33052473 36021258 44069964 47742461 51414958 66104946 72042516 77122437 95484922 102829916 132209892 143227383 154244874 190969844 231367311 286454766 308489748 334197227 429682149 462734622 572909532 668394454 859364298 925469244 1002591681 1336788908 1718728596 2005183362 3007775043 4010366724 6015550086 12031100172