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3243421010100 = 2235237433674827
BaseRepresentation
bin101111001100101010111…
…101010000100010110100
3102111001211120211211001210
4233030222331100202310
5411120011234310400
610522001304321420
7453220665463215
oct57145275204264
912431746754053
103243421010100
111040588671497
1244471b173270
131a6b128a255b
14b2da7a6140c
155957eba7950
hex2f32af508b4

3243421010100 has 144 divisors (see below), whose sum is σ = 9660200610368. Its totient is φ = 839591516160.

The previous prime is 3243421010059. The next prime is 3243421010129. The reversal of 3243421010100 is 10101243423.

3243421010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4468887 + ... + 5143713.

Almost surely, 23243421010100 is an apocalyptic number.

3243421010100 is a gapful number since it is divisible by the number (30) 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 3243421010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830100305184).

3243421010100 is an abundant number, since it is smaller than the sum of its proper divisors (6416779600268).

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

3243421010100 is a wasteful number, since it uses less digits than its factorization.

3243421010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675314 (or 675307 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 3243421010100 its reverse (10101243423), we get a palindrome (3253522253523).

The spelling of 3243421010100 in words is "three trillion, two hundred forty-three billion, four hundred twenty-one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 433 444 555 740 866 925 1110 1299 1732 1850 2165 2220 2598 2775 3700 4330 5196 5550 6495 8660 10825 11100 12990 16021 21650 25980 32042 32475 43300 48063 64084 64950 80105 96126 129900 160210 192252 240315 320420 400525 480630 674827 801050 961260 1201575 1349654 1602100 2024481 2403150 2699308 3374135 4048962 4806300 6748270 8097924 10122405 13496540 16870675 20244810 24968599 33741350 40489620 49937198 50612025 67482700 74905797 99874396 101224050 124842995 149811594 202448100 249685990 292200091 299623188 374528985 499371980 584400182 624214975 749057970 876600273 1168800364 1248429950 1461000455 1498115940 1753200546 1872644925 2496859900 2922000910 3506401092 3745289850 4383001365 5844001820 7305002275 7490579700 8766002730 10811403367 14610004550 17532005460 21622806734 21915006825 29220009100 32434210101 43245613468 43830013650 54057016835 64868420202 87660027300 108114033670 129736840404 162171050505 216228067340 270285084175 324342101010 540570168350 648684202020 810855252525 1081140336700 1621710505050 3243421010100