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10022211101001 = 311716836262829
BaseRepresentation
bin1001000111010111101001…
…0101010010000101001001
31022111010002010100002102210
42101311322111102011021
52303200442020213001
633152050142015333
72053036506523641
oct221657225220511
938433063302383
1010022211101001
113214439984a40
12115a456277549
13579123950538
14269112d41521
15125a79d6edd6
hex91d7a552149

10022211101001 has 32 divisors (see below), whose sum is σ = 14804728888320. Its totient is φ = 5979748174400.

The previous prime is 10022211100907. The next prime is 10022211101039. The reversal of 10022211101001 is 10010111222001.

It is not a de Polignac number, because 10022211101001 - 211 = 10022211098953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022211105001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1531146 + ... + 4731683.

It is an arithmetic number, because the mean of its divisors is an integer number (462647777760).

Almost surely, 210022211101001 is an apocalyptic number.

10022211101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022211101001 is a deficient number, since it is larger than the sum of its proper divisors (4782517787319).

10022211101001 is a wasteful number, since it uses less digits than its factorization.

10022211101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6263597.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10022211101001 its reverse (10010111222001), we get a palindrome (20032322323002).

The spelling of 10022211101001 in words is "ten trillion, twenty-two billion, two hundred eleven million, one hundred one thousand, one".

Divisors: 1 3 11 33 71 213 683 781 2049 2343 7513 22539 48493 145479 533423 1600269 6262829 18788487 68891119 206673357 444660859 1333982577 4277512207 4891269449 12832536621 14673808347 47052634277 141157902831 303703366697 911110100091 3340737033667 10022211101001