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121143000 = 23353113671
BaseRepresentation
bin1110011100001…
…11111011011000
322102221200221210
413032013323120
5222003034000
620004303120
73000461406
oct716077330
9272850853
10121143000
1162422590
12346a1aa0
131c137264
1412136476
15a97e350
hex7387ed8

121143000 has 128 divisors (see below), whose sum is σ = 412439040. Its totient is φ = 29360000.

The previous prime is 121142999. The next prime is 121143007. The reversal of 121143000 is 341121.

It is a happy number.

It is a super-3 number, since 3×1211430003 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121143007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31165 + ... + 34835.

It is an arithmetic number, because the mean of its divisors is an integer number (3222180).

Almost surely, 2121143000 is an apocalyptic number.

121143000 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 121143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206219520).

121143000 is an abundant number, since it is smaller than the sum of its proper divisors (291296040).

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

121143000 is a wasteful number, since it uses less digits than its factorization.

121143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121143000 is about 11006.4980806794. The cubic root of 121143000 is about 494.8035134867.

Adding to 121143000 its reverse (341121), we get a palindrome (121484121).

The spelling of 121143000 in words is "one hundred twenty-one million, one hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 3671 4125 5500 6600 7342 8250 11000 11013 14684 16500 18355 22026 29368 33000 36710 40381 44052 55065 73420 80762 88104 91775 110130 121143 146840 161524 183550 201905 220260 242286 275325 323048 367100 403810 440520 458875 484572 550650 605715 734200 807620 917750 969144 1009525 1101300 1211430 1376625 1615240 1835500 2019050 2202600 2422860 2753250 3028575 3671000 4038100 4845720 5047625 5506500 6057150 8076200 10095250 11013000 12114300 15142875 20190500 24228600 30285750 40381000 60571500 121143000