Search a number
-
+
10022004542320 = 2451719387848473
BaseRepresentation
bin1001000111010110111000…
…0001010100101101110000
31022111002112201122211012021
42101311232001110231300
52303200031130323240
633152013442441224
72053031421022021
oct221655601245560
938432481584167
1010022004542320
113214343322391
12115a3b9063214
135790bcc0ab74
142690d3732c48
15125a66b6c54a
hex91d6e054b70

10022004542320 has 80 divisors (see below), whose sum is σ = 25970333819040. Its totient is φ = 3574411517952.

The previous prime is 10022004542293. The next prime is 10022004542323. The reversal of 10022004542320 is 2324540022001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022004542323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193898397 + ... + 193950076.

It is an arithmetic number, because the mean of its divisors is an integer number (324629172738).

Almost surely, 210022004542320 is an apocalyptic number.

10022004542320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022004542320 is an abundant number, since it is smaller than the sum of its proper divisors (15948329276720).

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

10022004542320 is a wasteful number, since it uses less digits than its factorization.

10022004542320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387848522 (or 387848516 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10022004542320 its reverse (2324540022001), we get a palindrome (12346544564321).

The spelling of 10022004542320 in words is "ten trillion, twenty-two billion, four million, five hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1520 1615 2584 3230 5168 6460 12920 25840 387848473 775696946 1551393892 1939242365 3102787784 3878484730 6205575568 6593424041 7369120987 7756969460 13186848082 14738241974 15513938920 26373696164 29476483948 31027877840 32967120205 36845604935 52747392328 58952967896 65934240410 73691209870 105494784656 117905935792 125275056779 131868480820 147382419740 250550113558 263736961640 294764839480 501100227116 527473923280 589529678960 626375283895 1002200454232 1252750567790 2004400908464 2505501135580 5011002271160 10022004542320