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13230121240 = 2357149337941
BaseRepresentation
bin11000101001001001…
…11010000100011000
31021011000210210110101
430110210322010120
5204043402334430
610024451225144
7645566114020
oct142444720430
937130723411
1013230121240
11567a0709a6
1226928a81b4
13132ac7420b
148d714ca80
1552675adca
hex31493a118

13230121240 has 128 divisors (see below), whose sum is σ = 34386768000. Its totient is φ = 4487454720.

The previous prime is 13230121217. The next prime is 13230121253. The reversal of 13230121240 is 4212103231.

It is a happy number.

It is a super-2 number, since 2×132301212402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 14059170 + ... + 14060110.

It is an arithmetic number, because the mean of its divisors is an integer number (268646625).

Almost surely, 213230121240 is an apocalyptic number.

13230121240 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 13230121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193384000).

13230121240 is an abundant number, since it is smaller than the sum of its proper divisors (21156646760).

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

13230121240 is a wasteful number, since it uses less digits than its factorization.

13230121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13230121240 its reverse (4212103231), we get a palindrome (17442224471).

The spelling of 13230121240 in words is "thirteen billion, two hundred thirty million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 149 280 298 337 596 674 745 941 1043 1192 1348 1490 1685 1882 2086 2359 2696 2980 3370 3764 4172 4705 4718 5215 5960 6587 6740 7528 8344 9410 9436 10430 11795 13174 13480 18820 18872 20860 23590 26348 32935 37640 41720 47180 50213 52696 65870 94360 100426 131740 140209 200852 251065 263480 280418 317117 351491 401704 502130 560836 634234 701045 702982 981463 1004260 1121672 1268468 1402090 1405964 1585585 1757455 1962926 2008520 2219819 2536936 2804180 2811928 3171170 3514910 3925852 4439638 4907315 5608360 6342340 7029820 7851704 8879276 9814630 11099095 12684680 14059640 17758552 19629260 22198190 39258520 44396380 47250433 88792760 94500866 189001732 236252165 330753031 378003464 472504330 661506062 945008660 1323012124 1653765155 1890017320 2646024248 3307530310 6615060620 13230121240