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1010010011022 = 233149352735591
BaseRepresentation
bin11101011001010010100…
…10011011010110001110
310120120000100000200011000
432230221102123112032
5113022000030323042
62051554151441130
7132653663304435
oct16545122332616
93516010020130
101010010011022
1135a385358381
121438b63861a6
137432207c89c
1436c55a5411c
151b41545074c
hexeb2949b58e

1010010011022 has 64 divisors (see below), whose sum is σ = 2260234368000. Its totient is φ = 334306265760.

The previous prime is 1010010010987. The next prime is 1010010011111. The reversal of 1010010011022 is 2201100100101.

It is a happy number.

It is a super-2 number, since 2×10100100110222 (a number of 25 digits) contains 22 as substring.

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 = 1010010010995 and 1010010011013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28360447 + ... + 28396037.

It is an arithmetic number, because the mean of its divisors is an integer number (35316162000).

Almost surely, 21010010011022 is an apocalyptic number.

1010010011022 is an abundant number, since it is smaller than the sum of its proper divisors (1250224356978).

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

1010010011022 is a wasteful number, since it uses less digits than its factorization.

1010010011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39278 (or 39272 counting only the distinct ones).

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

Adding to 1010010011022 its reverse (2201100100101), we get a palindrome (3211110111123).

The spelling of 1010010011022 in words is "one trillion, ten billion, ten million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 149 298 447 894 1341 2682 3527 4023 7054 8046 10581 21162 31743 35591 63486 71182 95229 106773 190458 213546 320319 525523 640638 960957 1051046 1576569 1921914 3153138 4729707 5303059 9459414 10606118 14189121 15909177 28378242 31818354 47727531 95455062 125529457 143182593 251058914 286365186 376588371 753176742 1129765113 2259530226 3389295339 6778590678 18703889093 37407778186 56111667279 112223334558 168335001837 336670003674 505005005511 1010010011022