Search a number
-
+
12103123222332 = 22322633127686239
BaseRepresentation
bin1011000000011111101001…
…0111000011111100111100
31120212001021110121120122100
42300013322113003330330
53041244144021103312
641424033102345100
72356264450645332
oct260077227037474
946761243546570
1012103123222332
1139469a659308a
1214357bb58b190
1369a42029837c
142dbb1975db52
1515ec6b43e5dc
hexb01fa5c3f3c

12103123222332 has 36 divisors (see below), whose sum is σ = 30605625610560. Its totient is φ = 4032842140992.

The previous prime is 12103123222321. The next prime is 12103123222363. The reversal of 12103123222332 is 23322232130121.

12103123222332 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 3 + 1 + 2 + 322 + 2 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12103123222296 and 12103123222305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63748332 + ... + 63937907.

It is an arithmetic number, because the mean of its divisors is an integer number (850156266960).

Almost surely, 212103123222332 is an apocalyptic number.

12103123222332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12103123222332 is an abundant number, since it is smaller than the sum of its proper divisors (18502502388228).

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

12103123222332 is a wasteful number, since it uses less digits than its factorization.

12103123222332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127688882 (or 127688877 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12103123222332 its reverse (23322232130121), we get a palindrome (35425355352453).

The spelling of 12103123222332 in words is "twelve trillion, one hundred three billion, one hundred twenty-three million, two hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2633 5266 7899 10532 15798 23697 31596 47394 94788 127686239 255372478 383058717 510744956 766117434 1149176151 1532234868 2298352302 4596704604 336197867287 672395734574 1008593601861 1344791469148 2017187203722 3025780805583 4034374407444 6051561611166 12103123222332