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10222000122112 = 28337118485721
BaseRepresentation
bin1001010010111111111010…
…1011111010100100000000
31100012012202202121221022021
42110233332223322210000
52314434124012401422
633423531054051224
72103341456266102
oct224577653724400
940165682557267
1010222000122112
113291142644619
1211911131a9b14
13591c1334011c
14274a66dc3572
1512ad6ea1bdc7
hex94bfeafa900

10222000122112 has 36 divisors (see below), whose sum is σ = 20464616932396. Its totient is φ = 5095833845760.

The previous prime is 10222000122107. The next prime is 10222000122163. The reversal of 10222000122112 is 21122100022201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7148906977536 + 3073093144576 = 2673744^2 + 1753024^2 .

It is a super-2 number, since 2×102220001221122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 59156589 + ... + 59329132.

Almost surely, 210222000122112 is an apocalyptic number.

It is an amenable number.

10222000122112 is an abundant number, since it is smaller than the sum of its proper divisors (10242616810284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10222000122112 is an equidigital number, since it uses as much as digits as its factorization.

10222000122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118486074 (or 118486060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10222000122112 its reverse (21122100022201), we get a palindrome (31344100144313).

The spelling of 10222000122112 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 337 674 1348 2696 5392 10784 21568 43136 86272 118485721 236971442 473942884 947885768 1895771536 3791543072 7583086144 15166172288 30332344576 39929687977 79859375954 159718751908 319437503816 638875007632 1277750015264 2555500030528 5111000061056 10222000122112