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212111213132 = 227213109376163
BaseRepresentation
bin1100010110001011010…
…0000100001001001100
3202021111101200001120202
43011202310010021030
511433400432310012
6241235331233032
721216212364200
oct3054264041114
9667441601522
10212111213132
1181a57282955
1235137748778
1317004522290
14a3a27acb00
1557b6861cc2
hex3162d0424c

212111213132 has 72 divisors (see below), whose sum is σ = 465444601776. Its totient is φ = 83834255232.

The previous prime is 212111213129. The next prime is 212111213137. The reversal of 212111213132 is 231312111212.

It is not an unprimeable number, because it can be changed into a prime (212111213137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2746883 + ... + 2823045.

It is an arithmetic number, because the mean of its divisors is an integer number (6464508358).

Almost surely, 2212111213132 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 212111213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232722300888).

212111213132 is an abundant number, since it is smaller than the sum of its proper divisors (253333388644).

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

212111213132 is a wasteful number, since it uses less digits than its factorization.

212111213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77287 (or 77278 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

Adding to 212111213132 its reverse (231312111212), we get a palindrome (443423324344).

The spelling of 212111213132 in words is "two hundred twelve billion, one hundred eleven million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1093 1274 2186 2548 4372 7651 14209 15302 28418 30604 53557 56836 76163 99463 107114 152326 198926 214228 304652 397852 533141 696241 990119 1066282 1392482 1980238 2132564 2784964 3731987 3960476 6930833 7463974 13861666 14927948 27723332 48515831 83246159 97031662 166492318 194063324 332984636 582723113 1082200067 1165446226 2164400134 2330892452 4079061791 4328800268 7575400469 8158123582 15150800938 16316247164 30301601876 53027803283 106055606566 212111213132