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1000110021222 = 231319881765991
BaseRepresentation
bin11101000110110110011…
…00111101101001100110
310112121110101110002020010
432203123030331221212
5112341211131134342
62043235540351050
7132153441626424
oct16433314755146
93477411402203
101000110021222
11356165041524
121419b29a5486
137340500a760
1436596cc6114
151b03624a29c
hexe8db33da66

1000110021222 has 64 divisors (see below), whose sum is σ = 2270032611840. Its totient is φ = 291198758400.

The previous prime is 1000110021217. The next prime is 1000110021271. The reversal of 1000110021222 is 2221200110001.

It is a junction number, because it is equal to n+sod(n) for n = 1000110021198 and 1000110021207.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 922647 + ... + 1688637.

It is an arithmetic number, because the mean of its divisors is an integer number (35469259560).

Almost surely, 21000110021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000110021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135016305920).

1000110021222 is an abundant number, since it is smaller than the sum of its proper divisors (1269922590618).

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

1000110021222 is a wasteful number, since it uses less digits than its factorization.

1000110021222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766909.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000110021222 its reverse (2221200110001), we get a palindrome (3221310131223).

The spelling of 1000110021222 in words is "one trillion, one hundred ten million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 881 1482 1762 2643 5286 11453 16739 22906 33478 34359 50217 68718 100434 217607 435214 652821 765991 1305642 1531982 2297973 4595946 9957883 14553829 19915766 29107658 29873649 43661487 59747298 87322974 189199777 378399554 567599331 674838071 1135198662 1349676142 2024514213 4049028426 8772894923 12821923349 17545789846 25643846698 26318684769 38465770047 52637369538 76931540094 166685003537 333370007074 500055010611 1000110021222