Search a number
-
+
241401120100 = 2252710112012843
BaseRepresentation
bin1110000011010010100…
…0001100010101100100
3212002002122210111102221
43200310220030111210
512423342141320400
6302521555442124
723304100444030
oct3406450142544
9762078714387
10241401120100
1193417703538
123a9508b6344
13199c1752c8a
14b9807b31c0
15642ce72c1a
hex3834a0c564

241401120100 has 144 divisors (see below), whose sum is σ = 605318507136. Its totient is φ = 81849600000.

The previous prime is 241401120097. The next prime is 241401120119. The reversal of 241401120100 is 1021104142.

It is a happy 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, 84909279 + ... + 84912121.

It is an arithmetic number, because the mean of its divisors is an integer number (4203600744).

Almost surely, 2241401120100 is an apocalyptic number.

241401120100 is a gapful number since it is divisible by the number (20) 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 241401120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302659253568).

241401120100 is an abundant number, since it is smaller than the sum of its proper divisors (363917387036).

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

241401120100 is a wasteful number, since it uses less digits than its factorization.

241401120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 241401120100 its reverse (1021104142), we get a palindrome (242422224242).

The spelling of 241401120100 in words is "two hundred forty-one billion, four hundred one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1201 1414 2020 2402 2525 2828 2843 3535 4804 5050 5686 6005 7070 8407 10100 11372 12010 14140 14215 16814 17675 19901 24020 28430 30025 33628 35350 39802 42035 56860 60050 70700 71075 79604 84070 99505 120100 121301 142150 168140 199010 210175 242602 284300 287143 398020 420350 485204 497525 574286 606505 840700 849107 995050 1148572 1213010 1435715 1698214 1990100 2010001 2426020 2871430 3032525 3396428 3414443 4020002 4245535 5742860 6065050 6828886 7178575 8040004 8491070 10050005 12130100 13657772 14357150 16982140 17072215 20100010 21227675 23901101 28714300 34144430 40200020 42455350 47802202 50250025 68288860 84910700 85361075 95604404 100500050 119505505 170722150 201000100 239011010 341444300 344858743 478022020 597527525 689717486 1195055050 1379434972 1724293715 2390110100 2414011201 3448587430 4828022402 6897174860 8621468575 9656044804 12070056005 17242937150 24140112010 34485874300 48280224020 60350280025 120700560050 241401120100