Search a number
-
+
110221321212 = 223637999733
BaseRepresentation
bin110011010100110110…
…0111110001111111100
3101112111111212021000000
41212221230332033330
53301213124234322
6122345053234300
710651246525542
oct1465154761774
9345444767000
10110221321212
1142821076002
1219440a92990
13a51730aac2
145498755d92
152d017643ac
hex19a9b3e3fc

110221321212 has 84 divisors (see below), whose sum is σ = 289964636920. Its totient is φ = 36643132512.

The previous prime is 110221321201. The next prime is 110221321229. The reversal of 110221321212 is 212123122011.

110221321212 is a `hidden beast` number, since 110 + 2 + 21 + 321 + 212 = 666.

It is a super-2 number, since 2×1102213212122 (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 congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 1055298 + ... + 1155030.

Almost surely, 2110221321212 is an apocalyptic number.

110221321212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110221321212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144982318460).

110221321212 is an abundant number, since it is smaller than the sum of its proper divisors (179743315708).

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

110221321212 is an equidigital number, since it uses as much as digits as its factorization.

110221321212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100134 (or 100117 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110221321212 its reverse (212123122011), we get a palindrome (322344443223).

The spelling of 110221321212 in words is "one hundred ten billion, two hundred twenty-one million, three hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 379 486 729 758 972 1137 1458 1516 2274 2916 3411 4548 6822 10233 13644 20466 30699 40932 61398 92097 99733 122796 184194 199466 276291 299199 368388 398932 552582 598398 897597 1105164 1196796 1795194 2692791 3590388 5385582 8078373 10771164 16156746 24235119 32313492 37798807 48470238 72705357 75597614 96940476 113396421 145410714 151195228 226792842 290821428 340189263 453585684 680378526 1020567789 1360757052 2041135578 3061703367 4082271156 6123406734 9185110101 12246813468 18370220202 27555330303 36740440404 55110660606 110221321212