Search a number
-
+
12102311201032 = 2313973217372917
BaseRepresentation
bin1011000000011100100111…
…1101011100100100001000
31120211222011212122121211101
42300013021331130210020
53041241013131413112
641423420334111144
72356235360613313
oct260071175344410
946758155577741
1012102311201032
11394661a1914a8
12143561364b4b4
1369a320c968b0
142dba7d98597a
1515ec1eee0757
hexb01c9f5c908

12102311201032 has 64 divisors (see below), whose sum is σ = 24697031551920. Its totient is φ = 5526364520448.

The previous prime is 12102311201023. The next prime is 12102311201039. The reversal of 12102311201032 is 23010211320121.

It can be written as a sum of positive squares in 8 ways, for example, as 3438554583556 + 8663756617476 = 1854334^2 + 2943426^2 .

It is a super-2 number, since 2×121023112010322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12102311201039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32266638 + ... + 32639554.

Almost surely, 212102311201032 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 12102311201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348515775960).

12102311201032 is an abundant number, since it is smaller than the sum of its proper divisors (12594720350888).

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

12102311201032 is a wasteful number, since it uses less digits than its factorization.

12102311201032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376250 (or 376246 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12102311201032 its reverse (23010211320121), we get a palindrome (35112522521153).

The spelling of 12102311201032 in words is "twelve trillion, one hundred two billion, three hundred eleven million, two hundred one thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 776 1261 2522 3217 5044 6434 10088 12868 25736 41821 83642 167284 312049 334568 372917 624098 745834 1248196 1491668 2496392 2983336 4056637 4847921 8113274 9695842 16226548 19391684 32453096 36172949 38783368 72345898 144691796 289383592 470248337 940496674 1199673989 1880993348 2399347978 3761986696 4798695956 9597391912 15595761857 31191523714 62383047428 116368376933 124766094856 232736753866 465473507732 930947015464 1512788900129 3025577800258 6051155600516 12102311201032