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10222113141 = 3317101311709
BaseRepresentation
bin10011000010100100…
…10001000101110101
3222101101201011002000
421201102101011311
5131413330110031
64410155205513
7511212346062
oct114122210565
928341634060
1010222113141
114376130999
121b93446899
13c6ba17976
146cd85dc69
153ec6343e6
hex261491175

10222113141 has 64 divisors (see below), whose sum is σ = 16268428800. Its totient is φ = 6321024000.

The previous prime is 10222113119. The next prime is 10222113191. The reversal of 10222113141 is 14131122201.

It is not a de Polignac number, because 10222113141 - 214 = 10222096757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222113191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14417295 + ... + 14418003.

It is an arithmetic number, because the mean of its divisors is an integer number (254194200).

Almost surely, 210222113141 is an apocalyptic number.

It is an amenable number.

10222113141 is a deficient number, since it is larger than the sum of its proper divisors (6046315659).

10222113141 is a wasteful number, since it uses less digits than its factorization.

10222113141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10222113141 its reverse (14131122201), we get a palindrome (24353235342).

The spelling of 10222113141 in words is "ten billion, two hundred twenty-two million, one hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 17 27 51 101 153 303 311 459 709 909 933 1717 2127 2727 2799 5151 5287 6381 8397 12053 15453 15861 19143 31411 36159 46359 47583 71609 94233 108477 142749 214827 220499 282699 325431 533987 644481 661497 848097 1217353 1601961 1933443 1984491 3652059 3748483 4805883 5953473 10956177 11245449 14417649 22270399 32868531 33736347 66811197 101209041 200433591 378596783 601300773 1135790349 3407371047 10222113141