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531201300 = 223527443571
BaseRepresentation
bin11111101010010…
…111110100010100
31101000112211012020
4133222113310110
52041441420200
6124413253140
716110064560
oct3752276424
91330484166
10531201300
11252938443
12129a941b0
138608aac6
14507986a0
153197cea0
hex1fa97d14

531201300 has 144 divisors (see below), whose sum is σ = 1763553792. Its totient is φ = 120931200.

The previous prime is 531201287. The next prime is 531201301. The reversal of 531201300 is 3102135.

It is a happy number.

It is a super-2 number, since 2×5312013002 = 564349642243380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 531201300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531201301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930015 + ... + 930585.

Almost surely, 2531201300 is an apocalyptic number.

531201300 is a gapful number since it is divisible by the number (50) 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 531201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881776896).

531201300 is an abundant number, since it is smaller than the sum of its proper divisors (1232352492).

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

531201300 is a wasteful number, since it uses less digits than its factorization.

531201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 531201300 is about 23047.8046676902. The cubic root of 531201300 is about 809.8782014698.

Adding to 531201300 its reverse (3102135), we get a palindrome (534303435).

The spelling of 531201300 in words is "five hundred thirty-one million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 443 525 571 700 886 1050 1142 1329 1713 1772 2100 2215 2284 2658 2855 3101 3426 3997 4430 5316 5710 6202 6645 6852 7994 8565 8860 9303 11075 11420 11991 12404 13290 14275 15505 15988 17130 18606 19985 22150 23982 26580 28550 31010 33225 34260 37212 39970 42825 44300 46515 47964 57100 59955 62020 66450 77525 79940 85650 93030 99925 119910 132900 155050 171300 186060 199850 232575 239820 252953 299775 310100 399700 465150 505906 599550 758859 930300 1011812 1199100 1264765 1517718 1770671 2529530 3035436 3541342 3794295 5059060 5312013 6323825 7082684 7588590 8853355 10624026 12647650 15177180 17706710 18971475 21248052 25295300 26560065 35413420 37942950 44266775 53120130 75885900 88533550 106240260 132800325 177067100 265600650 531201300