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212233121310 = 235721327108799
BaseRepresentation
bin1100010110101000010…
…1000110111000011110
3202021210220001122011110
43011222011012320132
511434123134340220
6241255404202450
721222222523500
oct3055205067036
9667726048143
10212233121310
118200a078311
1235170539426
13170238668b2
14a3b4a63d70
1557c23e2be0
hex316a146e1e

212233121310 has 96 divisors (see below), whose sum is σ = 592972185600. Its totient is φ = 48473425728.

The previous prime is 212233121291. The next prime is 212233121329. The reversal of 212233121310 is 13121332212.

212233121310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212233121291) and next prime (212233121329).

It is a super-2 number, since 2×2122331213102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 1896291 + ... + 2005089.

It is an arithmetic number, because the mean of its divisors is an integer number (6176793600).

Almost surely, 2212233121310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212233121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296486092800).

212233121310 is an abundant number, since it is smaller than the sum of its proper divisors (380739064290).

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

212233121310 is a wasteful number, since it uses less digits than its factorization.

212233121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110150 (or 110143 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212233121310 its reverse (13121332212), we get a palindrome (225354453522).

The spelling of 212233121310 in words is "two hundred twelve billion, two hundred thirty-three million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1327 1470 2654 3981 6635 7962 9289 13270 18578 19905 27867 39810 46445 55734 65023 92890 108799 130046 139335 195069 217598 278670 325115 326397 390138 543995 650230 652794 761593 975345 1087990 1523186 1631985 1950690 2284779 3263970 3807965 4569558 5331151 7615930 10662302 11423895 15993453 22847790 26655755 31986906 53311510 79967265 144376273 159934530 288752546 433128819 721881365 866257638 1010633911 1443762730 2021267822 2165644095 3031901733 4331288190 5053169555 6063803466 7074437377 10106339110 14148874754 15159508665 21223312131 30319017330 35372186885 42446624262 70744373770 106116560655 212233121310