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241401733100 = 2252112936311187
BaseRepresentation
bin1110000011010010101…
…0100001111111101100
3212002002200221122022122
43200310222201333230
512423342320424400
6302522020532112
723304105606143
oct3406452417754
9762080848278
10241401733100
1193417a92050
123a950b51038
13199c1908cb8
14b9808d275a
15642d044685
hex3834aa1fec

241401733100 has 144 divisors (see below), whose sum is σ = 574806710016. Its totient is φ = 87270624000.

The previous prime is 241401733033. The next prime is 241401733123. The reversal of 241401733100 is 1337104142.

It is a super-2 number, since 2×2414017331002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241401733100.

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, 203370707 + ... + 203371893.

It is an arithmetic number, because the mean of its divisors is an integer number (3991713264).

Almost surely, 2241401733100 is an apocalyptic number.

241401733100 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 241401733100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287403355008).

241401733100 is an abundant number, since it is smaller than the sum of its proper divisors (333404976916).

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

241401733100 is a wasteful number, since it uses less digits than its factorization.

241401733100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 241401733100 its reverse (1337104142), we get a palindrome (242738837242).

The spelling of 241401733100 in words is "two hundred forty-one billion, four hundred one million, seven hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 293 550 586 631 1100 1172 1187 1262 1465 2374 2524 2930 3155 3223 4748 5860 5935 6310 6446 6941 7325 11870 12620 12892 13057 13882 14650 15775 16115 23740 26114 27764 29300 29675 31550 32230 34705 52228 59350 63100 64460 65285 69410 80575 118700 130570 138820 161150 173525 184883 261140 322300 326425 347050 347791 369766 652850 694100 695582 739532 748997 924415 1305700 1391164 1497994 1738955 1848830 2033713 2995988 3477910 3697660 3744985 3825701 4067426 4622075 6955820 7489970 7651402 8134852 8238967 8694775 9244150 10168565 14979940 15302804 16477934 17389550 18488300 18724925 19128505 20337130 32955868 34779100 37449850 38257010 40674260 41194835 50842825 74899700 76514020 82389670 95642525 101685650 164779340 191285050 203371300 205974175 219456121 382570100 411948350 438912242 823896700 877824484 1097280605 2194561210 2414017331 4389122420 4828034662 5486403025 9656069324 10972806050 12070086655 21945612100 24140173310 48280346620 60350433275 120700866550 241401733100