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121000000 = 2656112
BaseRepresentation
bin1110011011001…
…01000001000000
322102200102210111
413031211001000
5221434000000
620001241104
72666324452
oct715450100
9272612714
10121000000
1162335100
1234633194
131c0b7144
14120da2d2
15a951cba
hex7365040

121000000 has 147 divisors (see below), whose sum is σ = 329898121. Its totient is φ = 44000000.

The previous prime is 120999997. The next prime is 121000003. The reversal of 121000000 is 121.

The square root of 121000000 is 11000.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (120999997) and next prime (121000003).

It can be written as a sum of positive squares in 3 ways, for example, as 106007616 + 14992384 = 10296^2 + 3872^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121000003) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10999995 + ... + 11000005.

Almost surely, 2121000000 is an apocalyptic number.

121000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121000000 is the 11000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121000000

121000000 is an abundant number, since it is smaller than the sum of its proper divisors (208898121).

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

121000000 is an frugal number, since it uses more digits than its factorization.

121000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The cubic root of 121000000 is about 494.6087443249.

Adding to 121000000 its reverse (121), we get a palindrome (121000121).

Multiplying 121000000 by its reverse (121), we get a square (14641000000 = 1210002).

121000000 divided by its reverse (121) gives a 6-th power (1000000 = 106).

The spelling of 121000000 in words is "one hundred twenty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 125 160 176 200 220 242 250 275 320 352 400 440 484 500 550 605 625 704 800 880 968 1000 1100 1210 1250 1375 1600 1760 1936 2000 2200 2420 2500 2750 3025 3125 3520 3872 4000 4400 4840 5000 5500 6050 6250 6875 7744 8000 8800 9680 10000 11000 12100 12500 13750 15125 15625 17600 19360 20000 22000 24200 25000 27500 30250 31250 34375 38720 40000 44000 48400 50000 55000 60500 62500 68750 75625 88000 96800 100000 110000 121000 125000 137500 151250 171875 193600 200000 220000 242000 250000 275000 302500 343750 378125 440000 484000 500000 550000 605000 687500 756250 968000 1000000 1100000 1210000 1375000 1512500 1890625 2200000 2420000 2750000 3025000 3781250 4840000 5500000 6050000 7562500 11000000 12100000 15125000 24200000 30250000 60500000 121000000