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2230110110322 = 23217101523313789
BaseRepresentation
bin100000011100111100111…
…010111100001001110010
321220012022012121121210200
4200130330322330021302
5243014231142012242
64424255355140030
7320056131112203
oct40347472741162
97805265547720
102230110110322
1178a86a022586
12300263444616
131323b59bbc73
1479d1b87d5aa
153d024a7b04c
hex2073cebc272

2230110110322 has 96 divisors (see below), whose sum is σ = 5168151883440. Its totient is φ = 692532633600.

The previous prime is 2230110110321. The next prime is 2230110110387.

2230110110322 is a `hidden beast` number, since 2 + 230 + 1 + 1 + 0 + 110 + 322 = 666.

2230110110322 is nontrivially palindromic in base 10.

2230110110322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2084301451521 + 145808658801 = 1443711^2 + 381849^2 .

It is a super-2 number, since 2×22301101103222 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2230110110295 and 2230110110304.

It is not an unprimeable number, because it can be changed into a prime (2230110110321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161724204 + ... + 161737992.

Almost surely, 22230110110322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230110110322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584075941720).

2230110110322 is an abundant number, since it is smaller than the sum of its proper divisors (2938041773118).

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

2230110110322 is a wasteful number, since it uses less digits than its factorization.

2230110110322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19148 (or 19145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 2230110 and 110322, that added together give a palindrome (2340432).

The spelling of 2230110110322 in words is "two trillion, two hundred thirty billion, one hundred ten million, one hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 909 1717 1818 3434 5151 5233 10302 10466 13789 15453 15699 27578 30906 31398 41367 47097 82734 88961 94194 124101 177922 234413 248202 266883 468826 528533 533766 703239 800649 1057066 1392689 1406478 1585599 1601298 2109717 2785378 3171198 4178067 4219434 4756797 8356134 8985061 9513594 12534201 17970122 23675713 25068402 26955183 47351426 53910366 71027139 72157837 80865549 142054278 144315674 161731098 213081417 216473511 426162834 432947022 649420533 1226683229 1298841066 2453366458 3680049687 7287941537 7360099374 11040149061 14575883074 21863824611 22080298122 43727649222 65591473833 123895006129 131182947666 247790012258 371685018387 743370036774 1115055055161 2230110110322