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10220111100121 = 132347727254757
BaseRepresentation
bin1001010010111000111000…
…0101110111100011011001
31100012000220010002200021211
42110232032011313203121
52314421241420200441
633423015413503121
72103243611001256
oct224561605674331
940160803080254
1010220111100121
11329036330741a
121190886641aa1
135919a1b81330
1427492817642d
1512acadc7ba81
hex94b8e1778d9

10220111100121 has 16 divisors (see below), whose sum is σ = 11729164737024. Its totient is φ = 8831781756864.

The previous prime is 10220111100053. The next prime is 10220111100149. The reversal of 10220111100121 is 12100111102201.

It is a happy number.

It is not a de Polignac number, because 10220111100121 - 29 = 10220111099609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10220111100421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363613326 + ... + 363641431.

It is an arithmetic number, because the mean of its divisors is an integer number (733072796064).

Almost surely, 210220111100121 is an apocalyptic number.

It is an amenable number.

10220111100121 is a deficient number, since it is larger than the sum of its proper divisors (1509053636903).

10220111100121 is a wasteful number, since it uses less digits than its factorization.

10220111100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727254840.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10220111100121 its reverse (12100111102201), we get a palindrome (22320222202322).

The spelling of 10220111100121 in words is "ten trillion, two hundred twenty billion, one hundred eleven million, one hundred thousand, one hundred twenty-one".

Divisors: 1 13 23 47 299 611 1081 14053 727254757 9454311841 16726859411 34180973579 217449172343 444352656527 786162392317 10220111100121