Search a number
-
+
212121212424 = 2331110119141651
BaseRepresentation
bin1100010110001101101…
…0001101011000001000
3202021112002111002000220
43011203122031120020
511433411012244144
6241240325430040
721216363361512
oct3054332153010
9667462432026
10212121212424
1181a61992530
123513ab6b320
1317006613714
14a3a3c52bb2
1557b7689919
hex316368d608

212121212424 has 128 divisors (see below), whose sum is σ = 587313192960. Its totient is φ = 63308000000.

The previous prime is 212121212411. The next prime is 212121212449. The reversal of 212121212424 is 424212121212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212121212394 and 212121212403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5071999 + ... + 5113649.

It is an arithmetic number, because the mean of its divisors is an integer number (4588384320).

Almost surely, 2212121212424 is an apocalyptic number.

212121212424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212121212424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293656596480).

212121212424 is an abundant number, since it is smaller than the sum of its proper divisors (375191980536).

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

212121212424 is a wasteful number, since it uses less digits than its factorization.

212121212424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41963 (or 41959 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 212121212424 its reverse (424212121212), we get a palindrome (636333333636).

The spelling of 212121212424 in words is "two hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 191 202 264 303 382 404 573 606 764 808 1111 1146 1212 1528 2101 2222 2292 2424 3333 4202 4444 4584 6303 6666 8404 8888 12606 13332 16808 19291 25212 26664 38582 41651 50424 57873 77164 83302 115746 124953 154328 166604 212201 231492 249906 333208 424402 458161 462984 499812 636603 848804 916322 999624 1273206 1374483 1697608 1832644 2546412 2748966 3665288 4206751 5092824 5497932 7955341 8413502 10995864 12620253 15910682 16827004 23866023 25240506 31821364 33654008 46274261 47732046 50481012 63642728 87508751 92548522 95464092 100962024 138822783 175017502 185097044 190928184 262526253 277645566 350035004 370194088 525052506 555291132 700070008 803489441 1050105012 1110582264 1606978882 2100210024 2410468323 3213957764 4820936646 6427915528 8838383851 9641873292 17676767702 19283746584 26515151553 35353535404 53030303106 70707070808 106060606212 212121212424