Search a number
-
+
10222133022112 = 2511272111067221
BaseRepresentation
bin1001010011000000011010…
…0110111000110110100000
31100012020010000200221211111
42110300012212320312200
52314434412023201422
633423552202353104
72103344662025464
oct224600646706640
940166100627744
1010222133022112
113291200667330
12119114b7bb794
13591c34a3288b
14274a7a8da4a4
1512ad7b51ea77
hex94c069b8da0

10222133022112 has 48 divisors (see below), whose sum is σ = 21955181268384. Its totient is φ = 4646248992000.

The previous prime is 10222133022047. The next prime is 10222133022119. The reversal of 10222133022112 is 21122033122201.

It is a super-2 number, since 2×102221330221122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10222133022119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9044662 + ... + 10111882.

It is an arithmetic number, because the mean of its divisors is an integer number (457399609758).

Almost surely, 210222133022112 is an apocalyptic number.

It is an amenable number.

10222133022112 is an abundant number, since it is smaller than the sum of its proper divisors (11733048246272).

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

10222133022112 is a wasteful number, since it uses less digits than its factorization.

10222133022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094453 (or 1094445 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10222133022112 its reverse (21122033122201), we get a palindrome (31344166144313).

The spelling of 10222133022112 in words is "ten trillion, two hundred twenty-two billion, one hundred thirty-three million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 27211 54422 108844 217688 299321 435376 598642 870752 1067221 1197284 2134442 2394568 4268884 4789136 8537768 9578272 11739431 17075536 23478862 34151072 46957724 93915448 187830896 375661792 29040150631 58080301262 116160602524 232321205048 319441656941 464642410096 638883313882 929284820192 1277766627764 2555533255528 5111066511056 10222133022112