Search a number
-
+
12220513024 = 281973127271
BaseRepresentation
bin10110110000110011…
…00011101100000000
31011112200001101100111
423120121203230000
5200011422404044
65340344001104
7611556434566
oct133031435400
934480041314
1012220513024
115201185345
122450760194
1311c9a518c5
1483d01da36
154b7cccb34
hex2d8663b00

12220513024 has 144 divisors (see below), whose sum is σ = 26330644480. Its totient is φ = 5643509760.

The previous prime is 12220513021. The next prime is 12220513037. The reversal of 12220513024 is 42031502221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12220512986 and 12220513004.

It is not an unprimeable number, because it can be changed into a prime (12220513021) 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, 45094009 + ... + 45094279.

Almost surely, 212220513024 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 12220513024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13165322240).

12220513024 is an abundant number, since it is smaller than the sum of its proper divisors (14110131456).

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

12220513024 is a wasteful number, since it uses less digits than its factorization.

12220513024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 12220513024 in words is "twelve billion, two hundred twenty million, five hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 73 76 127 128 146 152 254 256 271 292 304 508 542 584 608 1016 1084 1168 1216 1387 2032 2168 2336 2413 2432 2774 4064 4336 4672 4826 4864 5149 5548 8128 8672 9271 9344 9652 10298 11096 16256 17344 18542 18688 19304 19783 20596 22192 32512 34417 34688 37084 38608 39566 41192 44384 68834 69376 74168 77216 79132 82384 88768 137668 148336 154432 158264 164768 176149 177536 275336 296672 308864 316528 329536 352298 355072 375877 550672 593344 617728 633056 653923 659072 704596 751754 1101344 1186688 1266112 1307846 1318144 1409192 1503508 2202688 2373376 2512441 2532224 2615692 2818384 3007016 4405376 5024882 5064448 5231384 5636768 6014032 8810752 10049764 10462768 11273536 12028064 20099528 20925536 22547072 24056128 40199056 41851072 45094144 47736379 48112256 80398112 83702144 95472758 96224512 160796224 167404288 190945516 321592448 381891032 643184896 763782064 1527564128 3055128256 6110256512 12220513024