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110030321322 = 233231012573413
BaseRepresentation
bin110011001111001010…
…0010111011010101010
3101112000012110110102000
41212132110113122222
53300320230240242
6122314111351430
710643440204545
oct1463624273252
9345005413360
10110030321322
114273327aa59
12193a8b22576
13a4b688520c
14547b23785c
152cdead6a4c
hex199e5176aa

110030321322 has 128 divisors (see below), whose sum is σ = 258747333120. Its totient is φ = 34589491200.

The previous prime is 110030321321. The next prime is 110030321339. The reversal of 110030321322 is 223123030011.

It is a super-2 number, since 2×1100303213222 (a number of 23 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 = 110030321295 and 110030321304.

It is not an unprimeable number, because it can be changed into a prime (110030321321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32236888 + ... + 32240300.

It is an arithmetic number, because the mean of its divisors is an integer number (2021463540).

Almost surely, 2110030321322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110030321322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129373666560).

110030321322 is an abundant number, since it is smaller than the sum of its proper divisors (148717011798).

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

110030321322 is a wasteful number, since it uses less digits than its factorization.

110030321322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 110030321322 its reverse (223123030011), we get a palindrome (333153351333).

The spelling of 110030321322 in words is "one hundred ten billion, thirty million, three hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 101 138 202 207 257 303 414 514 606 621 771 909 1242 1542 1818 2313 2323 2727 3413 4626 4646 5454 5911 6826 6939 6969 10239 11822 13878 13938 17733 20478 20907 25957 30717 35466 41814 51914 53199 61434 62721 77871 78499 92151 106398 125442 155742 156998 159597 184302 233613 235497 319194 344713 467226 470994 597011 689426 700839 706491 877141 1034139 1194022 1401678 1412982 1754282 1791033 2068278 2119473 2631423 3102417 3582066 4238946 5262846 5373099 6204834 7894269 7928399 9307251 10746198 15788538 15856798 16119297 18614502 20174243 23682807 23785197 32238594 40348486 47365614 47570394 60522729 71355591 88591241 121045458 142711182 177182482 181568187 214066773 265773723 363136374 428133546 531547446 544704561 797321169 1089409122 1594642338 2037598543 2391963507 4075197086 4783927014 6112795629 12225591258 18338386887 36676773774 55015160661 110030321322