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212011323132 = 223753163292157
BaseRepresentation
bin1100010101110011011…
…1000000111011111100
3202021020102201010021010
43011130313000323330
511433144344320012
6241221402235220
721213560340540
oct3053467007374
9667212633233
10212011323132
1181a05957034
123510a1b5b10
1316cb991987b
14a393409a20
1557acbcec3c
hex315cdc0efc

212011323132 has 96 divisors (see below), whose sum is σ = 579566679552. Its totient is φ = 59066931456.

The previous prime is 212011323131. The next prime is 212011323133. The reversal of 212011323132 is 231323110212.

It is an interprime number because it is at equal distance from previous prime (212011323131) and next prime (212011323133).

It is a super-2 number, since 2×2120113231322 (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 junction number, because it is equal to n+sod(n) for n = 212011323099 and 212011323108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011323131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579598 + ... + 871754.

It is an arithmetic number, because the mean of its divisors is an integer number (6037152912).

Almost surely, 2212011323132 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 212011323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289783339776).

212011323132 is an abundant number, since it is smaller than the sum of its proper divisors (367555356420).

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

212011323132 is a wasteful number, since it uses less digits than its factorization.

212011323132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292387 (or 292385 counting only the distinct ones).

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

Adding to 212011323132 its reverse (231323110212), we get a palindrome (443334433344).

The spelling of 212011323132 in words is "two hundred twelve billion, eleven million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 163 212 318 326 371 489 636 652 742 978 1113 1141 1484 1956 2226 2282 3423 4452 4564 6846 8639 13692 17278 25917 34556 51834 60473 103668 120946 181419 241892 292157 362838 584314 725676 876471 1168628 1752942 2045099 3505884 4090198 6135297 8180396 12270594 15484321 24541188 30968642 46452963 47621591 61937284 92905926 95243182 108390247 142864773 185811852 190486364 216780494 285729546 325170741 333351137 433560988 571459092 650341482 666702274 1000053411 1300682964 1333404548 2000106822 2523944323 4000213644 5047888646 7571832969 10095777292 15143665938 17667610261 30287331876 35335220522 53002830783 70670441044 106005661566 212011323132