Search a number
-
+
13302312320 = 2751117111149
BaseRepresentation
bin11000110001110000…
…10010110110000000
31021100001122111000002
430120320102312000
5204220342443240
610035550415132
7650433534443
oct143070226600
937301574002
1013302312320
115706899150
1226b2b014a8
13133cbcc12b
1490298165a
1552cc6ad15
hex318e12d80

13302312320 has 128 divisors (see below), whose sum is σ = 36732852000. Its totient is φ = 4552622080.

The previous prime is 13302312313. The next prime is 13302312323. The reversal of 13302312320 is 2321320331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13302312292 and 13302312301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302312323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64106 + ... + 175254.

Almost surely, 213302312320 is an apocalyptic number.

13302312320 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 13302312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18366426000).

13302312320 is an abundant number, since it is smaller than the sum of its proper divisors (23430539680).

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

13302312320 is a wasteful number, since it uses less digits than its factorization.

13302312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111196 (or 111184 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13302312320 its reverse (2321320331), we get a palindrome (15623632651).

The spelling of 13302312320 in words is "thirteen billion, three hundred two million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 128 136 160 170 176 187 220 272 320 340 352 374 440 544 640 680 704 748 880 935 1088 1360 1408 1496 1760 1870 2176 2720 2992 3520 3740 5440 5984 7040 7480 10880 11968 14960 23936 29920 59840 111149 119680 222298 444596 555745 889192 1111490 1222639 1778384 1889533 2222980 2445278 3556768 3779066 4445960 4890556 6113195 7113536 7558132 8891920 9447665 9781112 12226390 14227072 15116264 17783840 18895330 19562224 20784863 24452780 30232528 35567680 37790660 39124448 41569726 48905560 60465056 71135360 75581320 78248896 83139452 97811120 103924315 120930112 151162640 156497792 166278904 195622240 207848630 241860224 302325280 332557808 391244480 415697260 604650560 665115616 782488960 831394520 1209301120 1330231232 1662789040 2660462464 3325578080 6651156160 13302312320