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2130221003300 = 2252132416799301
BaseRepresentation
bin11110111111111011000…
…100001111001000100100
321112122110202122020010022
4132333323010033020210
5234400143034101200
64310335433014312
7306621601524635
oct36777304171044
97478422566108
102130221003300
11751470248a75
122a4a26854398
13125b57168190
147516344788c
153a62a448885
hex1effb10f224

2130221003300 has 72 divisors (see below), whose sum is σ = 4998819633192. Its totient is φ = 783279360000.

The previous prime is 2130221003269. The next prime is 2130221003353. The reversal of 2130221003300 is 33001220312.

It can be written as a sum of positive squares in 12 ways, for example, as 1369962566116 + 760258437184 = 1170454^2 + 871928^2 .

It is a super-2 number, since 2×21302210033002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3086351 + ... + 3712950.

It is an arithmetic number, because the mean of its divisors is an integer number (69428050461).

Almost surely, 22130221003300 is an apocalyptic number.

2130221003300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130221003300 is an abundant number, since it is smaller than the sum of its proper divisors (2868598629892).

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

2130221003300 is a wasteful number, since it uses less digits than its factorization.

2130221003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6799569 (or 6799562 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2130221003300 its reverse (33001220312), we get a palindrome (2163222223612).

The spelling of 2130221003300 in words is "two trillion, one hundred thirty billion, two hundred twenty-one million, three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 241 260 325 482 650 964 1205 1300 2410 3133 4820 6025 6266 12050 12532 15665 24100 31330 62660 78325 156650 313300 6799301 13598602 27197204 33996505 67993010 88390913 135986020 169982525 176781826 339965050 353563652 441954565 679930100 883909130 1638631541 1767818260 2209772825 3277263082 4419545650 6554526164 8193157705 8839091300 16386315410 21302210033 32772630820 40965788525 42604420066 81931577050 85208840132 106511050165 163863154100 213022100330 426044200660 532555250825 1065110501650 2130221003300