Search a number
-
+
13202204013424 = 2429257658116823
BaseRepresentation
bin1100000000011110000010…
…1011100011001101110000
31201202010012022000200210201
43000013200223203031300
53212301103211412144
644025001522204544
72531553631351456
oct300074053431560
951663168020721
1013202204013424
114230028a91898
1215928134b3754
13749c687b293a
14338dc0b0a9d6
1517d64636c1d4
hexc01e0ae3370

13202204013424 has 80 divisors (see below), whose sum is σ = 26569892185920. Its totient is φ = 6347336253440.

The previous prime is 13202204013407. The next prime is 13202204013457. The reversal of 13202204013424 is 42431040220231.

It is a junction number, because it is equal to n+sod(n) for n = 13202204013392 and 13202204013401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784762677 + ... + 784779499.

It is an arithmetic number, because the mean of its divisors is an integer number (332123652324).

Almost surely, 213202204013424 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 13202204013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284946092960).

13202204013424 is an abundant number, since it is smaller than the sum of its proper divisors (13367688172496).

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

13202204013424 is a wasteful number, since it uses less digits than its factorization.

13202204013424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23698 (or 23692 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13202204013424 its reverse (42431040220231), we get a palindrome (55633244233655).

The spelling of 13202204013424 in words is "thirteen trillion, two hundred two billion, two hundred four million, thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 257 464 514 1028 2056 4112 6581 7453 13162 14906 16823 26324 29812 33646 52648 59624 67292 105296 119248 134584 190849 269168 381698 487867 763396 975734 1526792 1691317 1951468 3053584 3382634 3902936 4323511 6765268 7805872 8647022 13530536 17294044 27061072 34588088 49048193 69176176 98096386 110712163 125381819 196192772 221424326 250763638 392385544 442848652 501527276 784771088 885697304 1003054552 1771394608 2006109104 3210652727 6421305454 12842610908 25685221816 28453025891 51370443632 56906051782 113812103564 227624207128 455248414256 825137750839 1650275501678 3300551003356 6601102006712 13202204013424