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212303112312 = 233471483126913
BaseRepresentation
bin1100010110111001000…
…0000110100001111000
3202021222202202112202210
43011232100012201320
511434244044043222
6241310344255120
721224032452054
oct3055620064170
9667882675683
10212303112312
1182045632615
123518ba714a0
13170352012a5
14a3c0082c64
1557c861ad0c
hex316e406878

212303112312 has 64 divisors (see below), whose sum is σ = 542420282880. Its totient is φ = 69214758912.

The previous prime is 212303112289. The next prime is 212303112317. The reversal of 212303112312 is 213211303212.

It is a super-2 number, since 2×2123031123122 (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 (212303112317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609368 + ... + 1736280.

It is an arithmetic number, because the mean of its divisors is an integer number (8475316920).

Almost surely, 2212303112312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212303112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271210141440).

212303112312 is an abundant number, since it is smaller than the sum of its proper divisors (330117170568).

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

212303112312 is a wasteful number, since it uses less digits than its factorization.

212303112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128452 (or 128448 counting only the distinct ones).

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

Adding to 212303112312 its reverse (213211303212), we get a palindrome (425514415524).

The spelling of 212303112312 in words is "two hundred twelve billion, three hundred three million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 1483 2966 4449 5932 8898 11864 17796 35592 69701 126913 139402 209103 253826 278804 380739 418206 507652 557608 761478 836412 1015304 1522956 1672824 3045912 5964911 11929822 17894733 23859644 35789466 47719288 71578932 143157864 188211979 376423958 564635937 752847916 1129271874 1505695832 2258543748 4517087496 8845963013 17691926026 26537889039 35383852052 53075778078 70767704104 106151556156 212303112312