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1000110002202 = 2322319113619293
BaseRepresentation
bin11101000110110110011…
…00111001000000011010
310112121110101102010010200
432203123030321000122
5112341211130032302
62043235540123030
7132153441520113
oct16433314710032
93477411363120
101000110002202
11356165029203
121419b2996476
1373405001bbc
1436596cbd20a
151b03624481c
hexe8db33901a

1000110002202 has 96 divisors (see below), whose sum is σ = 2274871412736. Its totient is φ = 316938969600.

The previous prime is 1000110002201. The next prime is 1000110002207. The reversal of 1000110002202 is 2022000110001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000110002201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107615068 + ... + 107624360.

It is an arithmetic number, because the mean of its divisors is an integer number (23696577216).

Almost surely, 21000110002202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000110002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137435706368).

1000110002202 is an abundant number, since it is smaller than the sum of its proper divisors (1274761410534).

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

1000110002202 is a wasteful number, since it uses less digits than its factorization.

1000110002202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000110002202 its reverse (2022000110001), we get a palindrome (3022110112203).

The spelling of 1000110002202 in words is "one trillion, one hundred ten million, two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 191 207 382 414 573 1146 1361 1719 2722 3438 4083 4393 8166 8786 9293 12249 13179 18586 24498 26358 27879 31303 39537 55758 62606 79074 83637 93909 167274 187818 213739 259951 281727 427478 519902 563454 641217 779853 1282434 1559706 1774963 1923651 2339559 3549926 3847302 4679118 5324889 5978873 10649778 11957746 12647773 15974667 17936619 25295546 31949334 35873238 37943319 40824149 53809857 75886638 81648298 107619714 113829957 122472447 227659914 244944894 290898779 367417341 581797558 734834682 872696337 1745392674 2415724643 2618089011 4831449286 5236178022 7247173929 14494347858 21741521787 43483043574 55561666789 111123333578 166685000367 333370000734 500055001101 1000110002202