Search a number
-
+
201430111242400 = 2552499504584447
BaseRepresentation
bin101101110011001100011010…
…001110100100100010100000
3222102012112022210020110022021
4231303030122032210202200
5202400212331434224100
61552223414324351224
760266562635311345
oct5563143216444240
9872175283213267
10201430111242400
1159200037584737
121a712608845514
138851a16309841
1437a53ab3547cc
1518449d599da1a
hexb7331a3a48a0

201430111242400 has 72 divisors (see below), whose sum is σ = 492726713472000. Its totient is φ = 80410577314560.

The previous prime is 201430111242359. The next prime is 201430111242433. The reversal of 201430111242400 is 4242111034102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251893024 + ... + 252691423.

It is an arithmetic number, because the mean of its divisors is an integer number (6843426576000).

Almost surely, 2201430111242400 is an apocalyptic number.

201430111242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201430111242400 is an abundant number, since it is smaller than the sum of its proper divisors (291296602229600).

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

201430111242400 is a wasteful number, since it uses less digits than its factorization.

201430111242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504584966 (or 504584953 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 201430111242400 its reverse (4242111034102), we get a palindrome (205672222276502).

The spelling of 201430111242400 in words is "two hundred one trillion, four hundred thirty billion, one hundred eleven million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 499 800 998 1996 2495 3992 4990 7984 9980 12475 15968 19960 24950 39920 49900 79840 99800 199600 399200 504584447 1009168894 2018337788 2522922235 4036675576 5045844470 8073351152 10091688940 12614611175 16146702304 20183377880 25229222350 40366755760 50458444700 80733511520 100916889400 201833778800 251787639053 403667557600 503575278106 1007150556212 1258938195265 2014301112424 2517876390530 4028602224848 5035752781060 6294690976325 8057204449696 10071505562120 12589381952650 20143011124240 25178763905300 40286022248480 50357527810600 100715055621200 201430111242400