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221012010112 = 274142113569
BaseRepresentation
bin1100110111010101010…
…1111010010010000000
3210010110201002101122011
43031311111322102000
512110113033310422
6245310450222304
721652612042465
oct3156525722200
9703421071564
10221012010112
1185804577413
1236a00584994
1317ac257a75a
14a9a895d66c
155b37e95077
hex337557a480

221012010112 has 32 divisors (see below), whose sum is σ = 451036334700. Its totient is φ = 107810734080.

The previous prime is 221012010101. The next prime is 221012010119. The reversal of 221012010112 is 211010210122.

It can be written as a sum of positive squares in 2 ways, for example, as 219495998016 + 1516012096 = 468504^2 + 38936^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2210120101122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221012010092 and 221012010101.

It is not an unprimeable number, because it can be changed into a prime (221012010119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21051537 + ... + 21062032.

Almost surely, 2221012010112 is an apocalyptic number.

It is an amenable number.

221012010112 is an abundant number, since it is smaller than the sum of its proper divisors (230024324588).

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

221012010112 is an equidigital number, since it uses as much as digits as its factorization.

221012010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42113624 (or 42113612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221012010112 its reverse (211010210122), we get a palindrome (432022220234).

The spelling of 221012010112 in words is "two hundred twenty-one billion, twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 42113569 84227138 168454276 336908552 673817104 1347634208 1726656329 2695268416 3453312658 5390536832 6906625316 13813250632 27626501264 55253002528 110506005056 221012010112