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1000011102222 = 2311101239962533
BaseRepresentation
bin11101000110101010100…
…11100111100000001110
310112121012111022110212110
432203111103213200032
5112341010320232342
62043222044244450
7132151131056016
oct16432523474016
93477174273773
101000011102222
11356114219190
12141985840726
13733ba684cc2
1436587ad6c46
151b02c70ac9c
hexe8d54e780e

1000011102222 has 64 divisors (see below), whose sum is σ = 2204398540800. Its totient is φ = 299903472000.

The previous prime is 1000011102107. The next prime is 1000011102229. The reversal of 1000011102222 is 2222011100001.

1000011102222 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1000011102198 and 1000011102207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000011102229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15960468 + ... + 16023000.

It is an arithmetic number, because the mean of its divisors is an integer number (34443727200).

Almost surely, 21000011102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000011102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102199270400).

1000011102222 is an abundant number, since it is smaller than the sum of its proper divisors (1204387438578).

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

1000011102222 is a wasteful number, since it uses less digits than its factorization.

1000011102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65049.

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

Adding to 1000011102222 its reverse (2222011100001), we get a palindrome (3222022202223).

The spelling of 1000011102222 in words is "one trillion, eleven million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 2399 3333 4798 6666 7197 14394 26389 52778 62533 79167 125066 158334 187599 242299 375198 484598 687863 726897 1375726 1453794 2063589 2665289 4127178 5330578 6315833 7995867 12631666 15991734 18947499 37894998 69474163 138948326 150016667 208422489 300033334 416844978 450050001 900100002 1650183337 3300366674 4950550011 9901100022 15151683367 30303366734 45455050101 90910100202 166668517037 333337034074 500005551111 1000011102222