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12100332113012 = 221113672953106921
BaseRepresentation
bin1011000000010101001111…
…1111110100110001110100
31120211210001221122112110002
42300011103333310301310
53041222440010104022
641422452115250432
72356135336626353
oct260052377646164
946753057575402
1012100332113012
1139457a4028370
1214351608a9a18
1369a096c61ab0
142db932bb199a
1515eb563ae092
hexb0153ff4c74

12100332113012 has 96 divisors (see below), whose sum is σ = 25257699917184. Its totient is φ = 4999544985600.

The previous prime is 12100332112969. The next prime is 12100332113021. The reversal of 12100332113012 is 21031123300121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113117312 + ... + 113224232.

It is an arithmetic number, because the mean of its divisors is an integer number (263101040804).

Almost surely, 212100332113012 is an apocalyptic number.

It is an amenable number.

12100332113012 is an abundant number, since it is smaller than the sum of its proper divisors (13157367804172).

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

12100332113012 is a wasteful number, since it uses less digits than its factorization.

12100332113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109969 (or 109967 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12100332113012 its reverse (21031123300121), we get a palindrome (33131455413133).

The spelling of 12100332113012 in words is "twelve trillion, one hundred billion, three hundred thirty-two million, one hundred thirteen thousand, twelve".

Divisors: 1 2 4 11 13 22 26 44 52 67 134 143 268 286 572 737 871 1474 1742 2948 2953 3484 5906 9581 11812 19162 32483 38324 38389 64966 76778 106921 129932 153556 197851 213842 395702 422279 427684 791404 844558 1176131 1389973 1689116 2176361 2352262 2572063 2779946 4352722 4704524 5144126 5559892 7163707 8705444 10288252 14327414 15289703 28292693 28654828 30579406 56585386 61158812 78800777 93128191 113170772 157601554 186256382 315203108 315737713 372512764 631475426 1024410101 1262950852 2048820202 3473114843 4097640404 4104590269 6946229686 8209180538 13892459372 16418361076 21154426771 42308853542 45150492959 84617707084 90300985918 180601971836 232698694481 275007548023 465397388962 550015096046 930794777924 1100030192092 3025083028253 6050166056506 12100332113012