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10222201001001 = 31110128151108947
BaseRepresentation
bin1001010011000000101010…
…1010001101010000101001
31100012020021202121122100010
42110300022222031100221
52314440031424013001
633424003031402133
72103346445603613
oct224601252152051
940166252548303
1010222201001001
113291235a77930
12119116a523349
13591c45b44482
14274a85953db3
1512ad8249b8d6
hex94c0aa8d429

10222201001001 has 32 divisors (see below), whose sum is σ = 15016541654016. Its totient is φ = 6133659800000.

The previous prime is 10222201000937. The next prime is 10222201001003. The reversal of 10222201001001 is 10010010222201.

It is a cyclic number.

It is not a de Polignac number, because 10222201001001 - 26 = 10222201000937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222201001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93772810 + ... + 93881756.

It is an arithmetic number, because the mean of its divisors is an integer number (469266926688).

Almost surely, 210222201001001 is an apocalyptic number.

10222201001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222201001001 is a deficient number, since it is larger than the sum of its proper divisors (4794340653015).

10222201001001 is a wasteful number, since it uses less digits than its factorization.

10222201001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137213.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10222201001001 its reverse (10010010222201), we get a palindrome (20232211223202).

The spelling of 10222201001001 in words is "ten trillion, two hundred twenty-two billion, two hundred one million, one thousand, one".

Divisors: 1 3 11 33 101 303 1111 3333 28151 84453 108947 309661 326841 928983 1198417 2843251 3595251 8529753 11003647 31275761 33010941 93827283 121040117 363120351 3066966997 9200900991 33736636967 101209910901 309763666697 929291000091 3407400333667 10222201001001