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13002200440 = 23517414011163
BaseRepresentation
bin11000001101111110…
…11101010101111000
31020120010221012220021
430012333131111320
5203112030403230
65550110140224
7640130610625
oct140677352570
936503835807
1013002200440
1155724486a9
12262a4b1674
1312c2992438
148b4b7d34c
15511738c7a
hex306fdd578

13002200440 has 128 divisors (see below), whose sum is σ = 31837821120. Its totient is φ = 4759552000.

The previous prime is 13002200429. The next prime is 13002200443. The reversal of 13002200440 is 4400220031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002200443) 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, 11179299 + ... + 11180461.

Almost surely, 213002200440 is an apocalyptic number.

13002200440 is a gapful number since it is divisible by the number (10) 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 13002200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918910560).

13002200440 is an abundant number, since it is smaller than the sum of its proper divisors (18835620680).

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

13002200440 is a wasteful number, since it uses less digits than its factorization.

13002200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 13002200440 its reverse (4400220031), we get a palindrome (17402420471).

The spelling of 13002200440 in words is "thirteen billion, two million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 401 410 680 697 802 820 1163 1394 1604 1640 2005 2326 2788 3208 3485 4010 4652 5576 5815 6817 6970 8020 9304 11630 13634 13940 16040 16441 19771 23260 27268 27880 32882 34085 39542 46520 47683 54536 65764 68170 79084 82205 95366 98855 131528 136340 158168 164410 190732 197710 238415 272680 279497 328820 381464 395420 466363 476830 558994 657640 790840 810611 932726 953660 1117988 1397485 1621222 1865452 1907320 2235976 2331815 2794970 3242444 3730904 4053055 4663630 5589940 6484888 7928171 8106110 9327260 11179880 15856342 16212220 18654520 19120883 31712684 32424440 38241766 39640855 63425368 76483532 79281710 95604415 152967064 158563420 191208830 317126840 325055011 382417660 650110022 764835320 1300220044 1625275055 2600440088 3250550110 6501100220 13002200440