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1000111022010 = 232579140662591
BaseRepresentation
bin11101000110110110100…
…00110001111110111010
310112121110110022221001100
432203123100301332322
5112341211410201020
62043240014032230
7132153453265242
oct16433320617672
93477413287040
101000111022010
11356165665421
121419b31a8676
137340529b139
14365970a6b22
151b036396a90
hexe8db431fba

1000111022010 has 48 divisors (see below), whose sum is σ = 2633203722240. Its totient is φ = 263320368480.

The previous prime is 1000111022003. The next prime is 1000111022017. The reversal of 1000111022010 is 102201110001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000111022003) and next prime (1000111022017).

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

It is a junction number, because it is equal to n+sod(n) for n = 1000111021983 and 1000111022001.

It is not an unprimeable number, because it can be changed into a prime (1000111022017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 70324186 + ... + 70338405.

It is an arithmetic number, because the mean of its divisors is an integer number (54858410880).

Almost surely, 21000111022010 is an apocalyptic number.

1000111022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000111022010 is an abundant number, since it is smaller than the sum of its proper divisors (1633092700230).

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

1000111022010 is a wasteful number, since it uses less digits than its factorization.

1000111022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140662683 (or 140662680 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000111022010 its reverse (102201110001), we get a palindrome (1102312132011).

The spelling of 1000111022010 in words is "one trillion, one hundred eleven million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 7110 140662591 281325182 421987773 703312955 843975546 1265963319 1406625910 2109938865 2531926638 4219877730 6329816595 11112344689 12659633190 22224689378 33337034067 55561723445 66674068134 100011102201 111123446890 166685170335 200022204402 333370340670 500055511005 1000111022010