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221123130112 = 2818117592713
BaseRepresentation
bin1100110111101111110…
…1110011001100000000
3210010202110011212121201
43031323331303030000
512110330010130422
6245325500030544
721655431410503
oct3157375631400
9703673155551
10221123130112
1185861273525
1236a31832454
1317b0c5b5831
14a9b960713a
155b42ae4727
hex337bf73300

221123130112 has 72 divisors (see below), whose sum is σ = 444237073280. Its totient is φ = 109847715840.

The previous prime is 221123130061. The next prime is 221123130127. The reversal of 221123130112 is 211031321122.

It is a super-2 number, since 2×2211231301122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221123130112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81503668 + ... + 81506380.

Almost surely, 2221123130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221123130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222118536640).

221123130112 is an abundant number, since it is smaller than the sum of its proper divisors (223113943168).

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

221123130112 is a wasteful number, since it uses less digits than its factorization.

221123130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 221123130112 its reverse (211031321122), we get a palindrome (432154451234).

The spelling of 221123130112 in words is "two hundred twenty-one billion, one hundred twenty-three million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 724 1448 1759 2713 2896 3518 5426 5792 7036 10852 11584 14072 21704 23168 28144 43408 46336 56288 86816 112576 173632 225152 318379 347264 450304 491053 636758 694528 982106 1273516 1964212 2547032 3928424 4772167 5094064 7856848 9544334 10188128 15713696 19088668 20376256 31427392 38177336 40752512 62854784 76354672 81505024 125709568 152709344 305418688 610837376 863762227 1221674752 1727524454 3455048908 6910097816 13820195632 27640391264 55280782528 110561565056 221123130112