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1000223321104 = 247151557106181
BaseRepresentation
bin11101000111000011111…
…01001010110000010000
310112121202021122022110001
432203201331022300100
5112341424132233404
62043255105015344
7132156315643660
oct16434175126020
93477667568401
101000223321104
11356212a97397
12141a24924554
1373422629ac7
14365a7d7a1a0
151b04117a7a4
hexe8e1f4ac10

1000223321104 has 80 divisors (see below), whose sum is σ = 2233471262976. Its totient is φ = 425059776000.

The previous prime is 1000223321093. The next prime is 1000223321143. The reversal of 1000223321104 is 4011233220001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9366894 + ... + 9473074.

Almost surely, 21000223321104 is an apocalyptic number.

1000223321104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000223321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116735631488).

1000223321104 is an abundant number, since it is smaller than the sum of its proper divisors (1233247941872).

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

1000223321104 is a wasteful number, since it uses less digits than its factorization.

1000223321104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106904 (or 106898 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1000223321104 its reverse (4011233220001), we get a palindrome (5011456541105).

The spelling of 1000223321104 in words is "one trillion, two hundred twenty-three million, three hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 151 302 557 604 1057 1114 1208 2114 2228 2416 3899 4228 4456 7798 8456 8912 15596 16912 31192 62384 84107 106181 168214 212362 336428 424724 588749 672856 743267 849448 1177498 1345712 1486534 1698896 2354996 2973068 4709992 5946136 9419984 11892272 16033331 32066662 59142817 64133324 112233317 118285634 128266648 224466634 236571268 256533296 413999719 448933268 473142536 827999438 897866536 946285072 1655998876 1795733072 3311997752 6623995504 8930565367 17861130734 35722261468 62513957569 71444522936 125027915138 142889045872 250055830276 500111660552 1000223321104