Search a number
-
+
12121110102332 = 22711104937515971
BaseRepresentation
bin1011000001100010101001…
…1101100100000100111100
31120220202201000002202102002
42300120222131210010330
53042043013141233312
641440205555521432
72360502256624610
oct260305235440474
946822630082362
1012121110102332
113953596724270
12143919b2b9278
1369c028883c2a
142dc944533340
151604705a54c2
hexb062a76413c

12121110102332 has 48 divisors (see below), whose sum is σ = 26471269843200. Its totient is φ = 4718008387200.

The previous prime is 12121110102271. The next prime is 12121110102347. The reversal of 12121110102332 is 23320101112121.

It is a super-3 number, since 3×121211101023323 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 18434894 + ... + 19081077.

It is an arithmetic number, because the mean of its divisors is an integer number (551484788400).

Almost surely, 212121110102332 is an apocalyptic number.

It is an amenable number.

12121110102332 is an abundant number, since it is smaller than the sum of its proper divisors (14350159740868).

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

12121110102332 is a wasteful number, since it uses less digits than its factorization.

12121110102332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37517042 (or 37517040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12121110102332 its reverse (23320101112121), we get a palindrome (35441211214453).

The spelling of 12121110102332 in words is "twelve trillion, one hundred twenty-one billion, one hundred ten million, one hundred two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 1049 2098 4196 7343 11539 14686 23078 29372 46156 80773 161546 323092 37515971 75031942 150063884 262611797 412675681 525223594 825351362 1050447188 1650702724 2888729767 5777459534 11554919068 39354253579 78708507158 157417014316 275479775053 432896789369 550959550106 865793578738 1101919100212 1731587157476 3030277525583 6060555051166 12121110102332