Search a number
-
+
10221200201004 = 22313192181497269
BaseRepresentation
bin1001010010111100111100…
…0000011101010100101100
31100012010201000102201211120
42110233033000131110230
52314431004222413004
633423315441020540
72103312604131432
oct224571700352454
940163630381746
1010221200201004
113290872057aa1
121190b2b324750
13591b166b7120
142749cca78d52
1512ad246ad3d9
hex94bcf01d52c

10221200201004 has 72 divisors (see below), whose sum is σ = 27106980269040. Its totient is φ = 2979459151488.

The previous prime is 10221200200963. The next prime is 10221200201057. The reversal of 10221200201004 is 40010200212201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90692319 + ... + 90804950.

It is an arithmetic number, because the mean of its divisors is an integer number (376485837070).

Almost surely, 210221200201004 is an apocalyptic number.

It is an amenable number.

10221200201004 is an abundant number, since it is smaller than the sum of its proper divisors (16885780068036).

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

10221200201004 is a wasteful number, since it uses less digits than its factorization.

10221200201004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181497327 (or 181497306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10221200201004 its reverse (40010200212201), we get a palindrome (50231400413205).

The spelling of 10221200201004 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred one thousand, four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 722 741 988 1083 1444 1482 2166 2964 4332 4693 9386 14079 18772 28158 56316 181497269 362994538 544491807 725989076 1088983614 2177967228 2359464497 3448448111 4718928994 6896896222 7078393491 9437857988 10345344333 13793792444 14156786982 20690688666 28313573964 41381377332 44829825443 65520514109 89659650886 131041028218 134489476329 179319301772 196561542327 262082056436 268978952658 393123084654 537957905316 786246169308 851766683417 1703533366834 2555300050251 3407066733668 5110600100502 10221200201004