Search a number
-
+
13302311120 = 2457731392341
BaseRepresentation
bin11000110001110000…
…10010100011010000
31021100001122102100122
430120320102203100
5204220342423440
610035550405412
7650433531110
oct143070224320
937301572318
1013302311120
11570689825a
1226b2b00868
13133cbcb717
14902981040
1552cc6a7b5
hex318e128d0

13302311120 has 160 divisors (see below), whose sum is σ = 36103522560. Its totient is φ = 4464046080.

The previous prime is 13302311111. The next prime is 13302311129. The reversal of 13302311120 is 2111320331.

It is an interprime number because it is at equal distance from previous prime (13302311111) and next prime (13302311129).

It is a super-2 number, since 2×133023111202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302311129) 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 31 ways as a sum of consecutive naturals, for example, 5681150 + ... + 5683490.

It is an arithmetic number, because the mean of its divisors is an integer number (225647016).

Almost surely, 213302311120 is an apocalyptic number.

13302311120 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 13302311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18051761280).

13302311120 is an abundant number, since it is smaller than the sum of its proper divisors (22801211440).

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

13302311120 is a wasteful number, since it uses less digits than its factorization.

13302311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13302311120 its reverse (2111320331), we get a palindrome (15413631451).

The spelling of 13302311120 in words is "thirteen billion, three hundred two million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 139 140 146 278 280 292 365 511 556 560 584 695 730 973 1022 1112 1168 1390 1460 1946 2044 2224 2341 2555 2780 2920 3892 4088 4682 4865 5110 5560 5840 7784 8176 9364 9730 10147 10220 11120 11705 15568 16387 18728 19460 20294 20440 23410 32774 37456 38920 40588 40880 46820 50735 65548 71029 77840 81176 81935 93640 101470 131096 142058 162352 163870 170893 187280 202940 262192 284116 325399 327740 341786 355145 405880 568232 650798 655480 683572 710290 811760 854465 1136464 1196251 1301596 1310960 1367144 1420580 1626995 1708930 2277793 2392502 2603192 2734288 2841160 3253990 3417860 4555586 4785004 5206384 5682320 5981255 6507980 6835720 9111172 9570008 11388965 11962510 13015960 13671440 18222344 19140016 22777930 23754127 23925020 26031920 36444688 45555860 47508254 47850040 91111720 95016508 95700080 118770635 166278889 182223440 190033016 237541270 332557778 380066032 475082540 665115556 831394445 950165080 1330231112 1662788890 1900330160 2660462224 3325577780 6651155560 13302311120