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12141401410100 = 2252838591702933
BaseRepresentation
bin1011000010101110001111…
…1010110000101000110100
31120222201002010202222210102
42300223203322300220310
53042411042230110400
641453403253013232
72362121150116364
oct260534372605064
946881063688712
1012141401410100
113961159630106
121441102924218
136a0c10705111
142dd90b3a89a4
15160c5bbb49d5
hexb0ae3eb0a34

12141401410100 has 72 divisors (see below), whose sum is σ = 26695329618720. Its totient is φ = 4792459351680.

The previous prime is 12141401410087. The next prime is 12141401410121. The reversal of 12141401410100 is 101410414121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6278234 + ... + 7981166.

Almost surely, 212141401410100 is an apocalyptic number.

12141401410100 is a gapful number since it is divisible by the number (10) 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 12141401410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347664809360).

12141401410100 is an abundant number, since it is smaller than the sum of its proper divisors (14553928208620).

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

12141401410100 is a wasteful number, since it uses less digits than its factorization.

12141401410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703889 (or 1703882 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12141401410100 its reverse (101410414121), we get a palindrome (12242811824221).

The spelling of 12141401410100 in words is "twelve trillion, one hundred forty-one billion, four hundred one million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 859 1660 1718 2075 3436 4150 4295 8300 8590 17180 21475 42950 71297 85900 142594 285188 356485 712970 1425940 1702933 1782425 3405866 3564850 6811732 7129700 8514665 17029330 34058660 42573325 85146650 141343439 170293300 282686878 565373756 706717195 1413434390 1462819447 2826868780 2925638894 3533585975 5851277788 7067171950 7314097235 14134343900 14628194470 29256388940 36570486175 73140972350 121414014101 146281944700 242828028202 485656056404 607070070505 1214140141010 2428280282020 3035350352525 6070700705050 12141401410100