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213031403310 = 235112220726591
BaseRepresentation
bin1100011001100110101…
…0010011111100101110
3202100212112011120012110
43012121222103330232
511442242014401220
6241510522144450
721251055023325
oct3063152237456
9670775146173
10213031403310
1182389745400
1235353952126
13171200677cb
14a44caa30bc
15581c52abe0
hex3199a93f2e

213031403310 has 96 divisors (see below), whose sum is σ = 562256142336. Its totient is φ = 51618635200.

The previous prime is 213031403293. The next prime is 213031403317. The reversal of 213031403310 is 13304130312.

It is a super-2 number, since 2×2130314033102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213031403317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7998115 + ... + 8024705.

It is an arithmetic number, because the mean of its divisors is an integer number (5856834816).

Almost surely, 2213031403310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213031403310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281128071168).

213031403310 is an abundant number, since it is smaller than the sum of its proper divisors (349224739026).

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

213031403310 is a wasteful number, since it uses less digits than its factorization.

213031403310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28830 (or 28819 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213031403310 its reverse (13304130312), we get a palindrome (226335533622).

The spelling of 213031403310 in words is "two hundred thirteen billion, thirty-one million, four hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 2207 3630 4414 6621 11035 13242 22070 24277 26591 33105 48554 53182 66210 72831 79773 121385 132955 145662 159546 242770 265910 267047 292501 364155 398865 534094 585002 728310 797730 801141 877503 1335235 1462505 1602282 1755006 2670470 2925010 3217511 4005705 4387515 6435022 8011410 8775030 9652533 16087555 19305066 32175110 48262665 58686337 96525330 117372674 176059011 293431685 352118022 586863370 645549707 880295055 1291099414 1760590110 1936649121 3227748535 3873298242 6455497070 7101046777 9683245605 14202093554 19366491210 21303140331 35505233885 42606280662 71010467770 106515701655 213031403310