Search a number
-
+
10110221213312 = 27117439664273
BaseRepresentation
bin1001001100011111100000…
…1001001101111010000000
31022210112020200220000211002
42103013320021031322000
52311121213112311222
633300323240111132
72062303464243443
oct223077011157200
938715220800732
1010110221213312
1132487a2335a50
1211735187654a8
1358450b42917c
1426d4a185765a
15127ecb685392
hex931f824de80

10110221213312 has 64 divisors (see below), whose sum is σ = 22002072759360. Its totient is φ = 4589369487360.

The previous prime is 10110221213251. The next prime is 10110221213333. The reversal of 10110221213312 is 21331212201101.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3785993 + ... + 5878280.

It is an arithmetic number, because the mean of its divisors is an integer number (343782386865).

Almost surely, 210110221213312 is an apocalyptic number.

It is an amenable number.

10110221213312 is an abundant number, since it is smaller than the sum of its proper divisors (11891851546048).

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

10110221213312 is an equidigital number, since it uses as much as digits as its factorization.

10110221213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9665041 (or 9665029 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10110221213312 its reverse (21331212201101), we get a palindrome (31441433414413).

The spelling of 10110221213312 in words is "ten trillion, one hundred ten billion, two hundred twenty-one million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 743 1408 1486 2972 5944 8173 11888 16346 23776 32692 47552 65384 95104 130768 261536 523072 1046144 9664273 19328546 38657092 77314184 106307003 154628368 212614006 309256736 425228012 618513472 850456024 1237026944 1700912048 3401824096 6803648192 7180554839 13607296384 14361109678 28722219356 57444438712 78986103229 114888877424 157972206458 229777754848 315944412916 459555509696 631888825832 919111019392 1263777651664 2527555303328 5055110606656 10110221213312