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13340323500 = 2235372181501
BaseRepresentation
bin11000110110010010…
…10010111010101100
31021102201011122112120
430123021102322230
5204310110323000
610043425232540
7651404610300
oct143311227254
937381148476
1013340323500
1157262a0549
122703792750
131347a4a65a
14907a37d00
155312786a0
hex31b252eac

13340323500 has 144 divisors (see below), whose sum is σ = 45189641952. Its totient is φ = 3049200000.

The previous prime is 13340323499. The next prime is 13340323519. The reversal of 13340323500 is 532304331.

It is a happy number.

13340323500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17251 + ... + 164250.

It is an arithmetic number, because the mean of its divisors is an integer number (313816958).

Almost surely, 213340323500 is an apocalyptic number.

13340323500 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 13340323500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22594820976).

13340323500 is an abundant number, since it is smaller than the sum of its proper divisors (31849318452).

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

13340323500 is a wasteful number, since it uses less digits than its factorization.

13340323500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181537 (or 181518 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 13340323500 its reverse (532304331), we get a palindrome (13872627831).

The spelling of 13340323500 in words is "thirteen billion, three hundred forty million, three hundred twenty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 125 140 147 150 175 196 210 245 250 294 300 350 375 420 490 500 525 588 700 735 750 875 980 1050 1225 1470 1500 1750 2100 2450 2625 2940 3500 3675 4900 5250 6125 7350 10500 12250 14700 18375 24500 36750 73500 181501 363002 544503 726004 907505 1089006 1270507 1815010 2178012 2541014 2722515 3630020 3811521 4537525 5082028 5445030 6352535 7623042 8893549 9075050 10890060 12705070 13612575 15246084 17787098 18150100 19057605 22687625 25410140 26680647 27225150 31762675 35574196 38115210 44467745 45375250 53361294 54450300 63525350 68062875 76230420 88935490 90750500 95288025 106722588 127050700 133403235 136125750 158813375 177870980 190576050 222338725 266806470 272251500 317626750 381152100 444677450 476440125 533612940 635253500 667016175 889354900 952880250 1111693625 1334032350 1905760500 2223387250 2668064700 3335080875 4446774500 6670161750 13340323500