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520010100 = 2232525211109
BaseRepresentation
bin11110111111101…
…011100101110100
31100020111020202100
4132333223211310
52031110310400
6123333342100
715613004301
oct3677534564
91306436670
10520010100
11247594315
12126197930
138396ccac
144d0c40a8
15309bc100
hex1efeb974

520010100 has 108 divisors (see below), whose sum is σ = 1634543820. Its totient is φ = 138278400.

The previous prime is 520010077. The next prime is 520010119. The reversal of 520010100 is 1010025.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 156650256 + 363359844 = 12516^2 + 19062^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 468346 + ... + 469454.

It is an arithmetic number, because the mean of its divisors is an integer number (15134665).

Almost surely, 2520010100 is an apocalyptic number.

520010100 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 520010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817271910).

520010100 is an abundant number, since it is smaller than the sum of its proper divisors (1114533720).

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

520010100 is a wasteful number, since it uses less digits than its factorization.

520010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 520010100 is about 22803.7299580573. The cubic root of 520010100 is about 804.1503580085.

Adding to 520010100 its reverse (1010025), we get a palindrome (521020125).

The spelling of 520010100 in words is "five hundred twenty million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 521 900 1042 1109 1563 2084 2218 2605 3126 3327 4436 4689 5210 5545 6252 6654 7815 9378 9981 10420 11090 13025 13308 15630 16635 18756 19962 22180 23445 26050 27725 31260 33270 39075 39924 46890 49905 52100 55450 66540 78150 83175 93780 99810 110900 117225 156300 166350 199620 234450 249525 332700 468900 499050 577789 998100 1155578 1733367 2311156 2888945 3466734 5200101 5777890 6933468 8666835 10400202 11555780 14444725 17333670 20800404 26000505 28889450 34667340 43334175 52001010 57778900 86668350 104002020 130002525 173336700 260005050 520010100