Search a number
-
+
10001001222112 = 2517154911868427
BaseRepresentation
bin1001000110001000101000…
…1000000000111111100000
31022102002022222012121100211
42101202022020000333200
52302324022303101422
633134221352423504
72051356063525225
oct221421210007740
938362288177324
1010001001222112
11320644551200a
1211563170a7b94
13577123702a44
142680a00b794c
15125237cb6577
hex9188a200fe0

10001001222112 has 48 divisors (see below), whose sum is σ = 20861135895600. Its totient is φ = 4703314802688.

The previous prime is 10001001222101. The next prime is 10001001222187. The reversal of 10001001222112 is 21122210010001.

It is a junction number, because it is equal to n+sod(n) for n = 10001001222092 and 10001001222101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5091558 + ... + 6776869.

It is an arithmetic number, because the mean of its divisors is an integer number (434606997825).

Almost surely, 210001001222112 is an apocalyptic number.

It is an amenable number.

10001001222112 is an abundant number, since it is smaller than the sum of its proper divisors (10860134673488).

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

10001001222112 is a wasteful number, since it uses less digits than its factorization.

10001001222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11870003 (or 11869995 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10001001222112 its reverse (21122210010001), we get a palindrome (31123211232113).

The spelling of 10001001222112 in words is "ten trillion, one billion, one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1549 3098 6196 12392 24784 26333 49568 52666 105332 210664 421328 842656 11868427 23736854 47473708 94947416 189894832 201763259 379789664 403526518 807053036 1614106072 3228212144 6456424288 18384193423 36768386846 73536773692 147073547384 294147094768 312531288191 588294189536 625062576382 1250125152764 2500250305528 5000500611056 10001001222112