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2441122002330 = 23511291063239963
BaseRepresentation
bin100011100001011110001…
…101011011010110011010
322122100221222201101022020
4203201132031123112122
5304443404213033310
65105234100235310
7341236164441504
oct43413615332632
98570858641266
102441122002330
11861301804180
1233513299bb36
1314927353a56b
1486218248d74
1543774b3d170
hex2385e35b59a

2441122002330 has 128 divisors (see below), whose sum is σ = 6617938360320. Its totient is φ = 570840802560.

The previous prime is 2441122002233. The next prime is 2441122002367. The reversal of 2441122002330 is 332002211442.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2441122002330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10052929 + ... + 10292891.

It is an arithmetic number, because the mean of its divisors is an integer number (51702643440).

Almost surely, 22441122002330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441122002330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308969180160).

2441122002330 is an abundant number, since it is smaller than the sum of its proper divisors (4176816357990).

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

2441122002330 is a wasteful number, since it uses less digits than its factorization.

2441122002330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241076.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2441122002330 its reverse (332002211442), we get a palindrome (2773124213772).

The spelling of 2441122002330 in words is "two trillion, four hundred forty-one billion, one hundred twenty-two million, two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1063 1595 1914 2126 3189 3190 4785 5315 6378 9570 10630 11693 15945 23386 30827 31890 35079 58465 61654 70158 92481 116930 154135 175395 184962 239963 308270 339097 350790 462405 479926 678194 719889 924810 1017291 1199815 1439778 1695485 2034582 2399630 2639593 3390970 3599445 5086455 5279186 6958927 7198890 7918779 10172910 13197965 13917854 15837558 20876781 26395930 34794635 39593895 41753562 69589270 76548197 79187790 104383905 153096394 208767810 229644591 255080669 382740985 459289182 510161338 765242007 765481970 1148222955 1275403345 1530484014 2296445910 2550806690 2805887359 3826210035 5611774718 7397339401 7652420070 8417662077 14029436795 14794678802 16835324154 22192018203 28058873590 36986697005 42088310385 44384036406 73973394010 81370733411 84176620770 110960091015 162741466822 221920182030 244112200233 406853667055 488224400466 813707334110 1220561001165 2441122002330