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10201222112201 = 172472963253469
BaseRepresentation
bin1001010001110010100000…
…1110000110001111001001
31100010020010201010200002122
42110130220032012033021
52314114100330042301
633410213213141025
72102004536153531
oct224345016061711
940106121120078
1010201222112201
11328334aa341aa
12118909478a775
1358cc817117c3
14273a556584c1
1512a55581e81b
hex947283863c9

10201222112201 has 24 divisors (see below), whose sum is σ = 11070936938880. Its totient is φ = 9393661966592.

The previous prime is 10201222112197. The next prime is 10201222112203. The reversal of 10201222112201 is 10221122210201.

It is not a de Polignac number, because 10201222112201 - 22 = 10201222112197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10201222112201.

It is not an unprimeable number, because it can be changed into a prime (10201222112203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40119695 + ... + 40373163.

It is an arithmetic number, because the mean of its divisors is an integer number (461289039120).

Almost surely, 210201222112201 is an apocalyptic number.

It is an amenable number.

10201222112201 is a deficient number, since it is larger than the sum of its proper divisors (869714826679).

10201222112201 is a wasteful number, since it uses less digits than its factorization.

10201222112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256513 (or 256496 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10201222112201 its reverse (10221122210201), we get a palindrome (20422344322402).

The spelling of 10201222112201 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, one hundred twelve thousand, two hundred one".

Divisors: 1 17 47 289 799 2963 13583 50371 139261 253469 856307 2367437 4308973 11913043 40246429 73252541 202521731 751028647 3442869427 12767486999 35298346409 217047278983 600071888953 10201222112201