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213133023300 = 223526741925307
BaseRepresentation
bin1100011001111110110…
…1111101100001000100
3202101010121101101121210
43012133231331201010
511442444023221200
6241524552211420
721253430543451
oct3063755754104
9671117341553
10213133023300
1182431042a6a
1235381999b70
1317138127792
14a45c396828
155826400650
hex319fb7d844

213133023300 has 144 divisors (see below), whose sum is σ = 627387344640. Its totient is φ = 55851354240.

The previous prime is 213133023287. The next prime is 213133023331. The reversal of 213133023300 is 3320331312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8409247 + ... + 8434553.

It is an arithmetic number, because the mean of its divisors is an integer number (4356856560).

Almost surely, 2213133023300 is an apocalyptic number.

213133023300 is a gapful number since it is divisible by the number (20) 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 213133023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313693672320).

213133023300 is an abundant number, since it is smaller than the sum of its proper divisors (414254321340).

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

213133023300 is a wasteful number, since it uses less digits than its factorization.

213133023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25810 (or 25803 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 213133023300 its reverse (3320331312), we get a palindrome (216453354612).

The spelling of 213133023300 in words is "two hundred thirteen billion, one hundred thirty-three million, twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 419 670 804 838 1005 1257 1340 1675 1676 2010 2095 2514 3350 4020 4190 5025 5028 6285 6700 8380 10050 10475 12570 20100 20950 25140 25307 28073 31425 41900 50614 56146 62850 75921 84219 101228 112292 125700 126535 140365 151842 168438 253070 280730 303684 336876 379605 421095 506140 561460 632675 701825 759210 842190 1265350 1403650 1518420 1684380 1695569 1898025 2105475 2530700 2807300 3391138 3796050 4210950 5086707 6782276 7592100 8421900 8477845 10173414 10603633 16955690 20346828 21207266 25433535 31810899 33911380 42389225 42414532 50867070 53018165 63621798 84778450 101734140 106036330 127167675 127243596 159054495 169556900 212072660 254335350 265090825 318108990 508670700 530181650 636217980 710443411 795272475 1060363300 1420886822 1590544950 2131330233 2841773644 3181089900 3552217055 4262660466 7104434110 8525320932 10656651165 14208868220 17761085275 21313302330 35522170550 42626604660 53283255825 71044341100 106566511650 213133023300