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213230010100 = 22523975371033
BaseRepresentation
bin1100011010010101111…
…1111011111011110100
3202101101100212211111111
43012211133323323310
511443143340310400
6241542335044404
721256016116012
oct3064537737364
9671340784444
10213230010100
1182480866648
12353aa370704
1317152254913
14a46b2018b2
15582ebac3ba
hex31a57fbef4

213230010100 has 36 divisors (see below), whose sum is σ = 463874722444. Its totient is φ = 85077146880.

The previous prime is 213230010089. The next prime is 213230010137. The reversal of 213230010100 is 1010032312.

It can be written as a sum of positive squares in 6 ways, for example, as 1756951056 + 211473059044 = 41916^2 + 459862^2 .

It is a super-3 number, since 3×2132300101003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2645817 + ... + 2725216.

Almost surely, 2213230010100 is an apocalyptic number.

213230010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213230010100 is an abundant number, since it is smaller than the sum of its proper divisors (250644712344).

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

213230010100 is a wasteful number, since it uses less digits than its factorization.

213230010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5371444 (or 5371437 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 213230010100 its reverse (1010032312), we get a palindrome (214240042412).

The spelling of 213230010100 in words is "two hundred thirteen billion, two hundred thirty million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 397 794 1588 1985 3970 7940 9925 19850 39700 5371033 10742066 21484132 26855165 53710330 107420660 134275825 268551650 537103300 2132300101 4264600202 8529200404 10661500505 21323001010 42646002020 53307502525 106615005050 213230010100