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3000451125 = 35371771947
BaseRepresentation
bin1011001011010111…
…0100000000110101
321202002212201011110
42302311310000311
522121103414000
61213422025233
7134232261630
oct26265640065
97662781143
103000451125
1112aa749381
126b8a18219
1338a811989
142066c2c17
15128632850
hexb2d74035

3000451125 has 128 divisors (see below), whose sum is σ = 6133211136. Its totient is φ = 1271424000.

The previous prime is 3000451121. The next prime is 3000451127. The reversal of 3000451125 is 5211540003.

It is not a de Polignac number, because 3000451125 - 22 = 3000451121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000451121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3167902 + ... + 3168848.

It is an arithmetic number, because the mean of its divisors is an integer number (47915712).

Almost surely, 23000451125 is an apocalyptic number.

3000451125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3000451125 is an abundant number, since it is smaller than the sum of its proper divisors (3132760011).

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

3000451125 is a wasteful number, since it uses less digits than its factorization.

3000451125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 3000451125 is about 54776.3737846893. The cubic root of 3000451125 is about 1442.3218594437.

Adding to 3000451125 its reverse (5211540003), we get a palindrome (8211991128).

The spelling of 3000451125 in words is "three billion, four hundred fifty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 71 75 85 105 119 125 175 213 255 355 357 375 425 497 525 595 875 947 1065 1207 1275 1491 1775 1785 2125 2485 2625 2841 2975 3621 4735 5325 6035 6375 6629 7455 8449 8875 8925 12425 14205 14875 16099 18105 19887 23675 25347 26625 30175 33145 37275 42245 44625 48297 62125 67237 71025 80495 90525 99435 112693 118375 126735 150875 165725 186375 201711 211225 241485 336185 338079 355125 402475 452625 470659 497175 563465 633675 828625 1008555 1056125 1143029 1207425 1411977 1680925 1690395 2012375 2353295 2485875 2817325 3168375 3429087 5042775 5715145 6037125 7059885 8001203 8404625 8451975 11766475 14086625 17145435 24003609 25213875 28575725 35299425 40006015 42259875 58832375 85727175 120018045 142878625 176497125 200030075 428635875 600090225 1000150375 3000451125