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10022220018 = 2331721514253
BaseRepresentation
bin10010101010101111…
…01111000011110010
3221212110120112021000
421111113233003302
5131011142020033
64334254542430
7503234315226
oct112527570362
927773515230
1010022220018
114283311268
121b38507a16
13c3949a205
146b10a8786
153d9ceba13
hex2555ef0f2

10022220018 has 96 divisors (see below), whose sum is σ = 23821038720. Its totient is φ = 3122668800.

The previous prime is 10022220017. The next prime is 10022220053. The reversal of 10022220018 is 81002222001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10022220011) 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, 2354380 + ... + 2358632.

It is an arithmetic number, because the mean of its divisors is an integer number (248135820).

Almost surely, 210022220018 is an apocalyptic number.

10022220018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022220018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910519360).

10022220018 is an abundant number, since it is smaller than the sum of its proper divisors (13798818702).

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

10022220018 is a wasteful number, since it uses less digits than its factorization.

10022220018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10022220018 its reverse (81002222001), we get a palindrome (91024442019).

The spelling of 10022220018 in words is "ten billion, twenty-two million, two hundred twenty thousand, eighteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 151 153 289 302 306 453 459 578 867 906 918 1359 1734 2567 2601 2718 4077 4253 5134 5202 7701 7803 8154 8506 12759 15402 15606 23103 25518 38277 43639 46206 69309 72301 76554 87278 114831 130917 138618 144602 216903 229662 261834 392751 433806 642203 650709 785502 1178253 1229117 1284406 1301418 1926609 1952127 2356506 2458234 3687351 3853218 3904254 5779827 7374702 10917451 11062053 11559654 17339481 21834902 22124106 32752353 33186159 34678962 65504706 66372318 98257059 185596667 196514118 294771177 371193334 556790001 589542354 1113580002 1670370003 3340740006 5011110009 10022220018