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22103411430122 = 21112725731099901
BaseRepresentation
bin1010000011010010110011…
…11111001001001011101010
32220021001202202011022020022
411001221121333021023222
510344120241311230442
6115002100025000442
74440630066126611
oct501513177111352
986231682138208
1022103411430122
117052005576960
12258b957923122
13c4445c053139
14565b4cc72878
15284e618123d2
hex141a59fc92ea

22103411430122 has 64 divisors (see below), whose sum is σ = 36611328430080. Its totient is φ = 9924913152000.

The previous prime is 22103411430101. The next prime is 22103411430173.

It is a happy number.

22103411430122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22103411430091 and 22103411430100.

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 31 ways as a sum of consecutive naturals, for example, 2232437372 + ... + 2232447272.

It is an arithmetic number, because the mean of its divisors is an integer number (572052006720).

Almost surely, 222103411430122 is an apocalyptic number.

22103411430122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22103411430122 is a deficient number, since it is larger than the sum of its proper divisors (14507916999958).

22103411430122 is a wasteful number, since it uses less digits than its factorization.

22103411430122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13407.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 2210341 and 1430122, that added together give a palindrome (3640463).

The spelling of 22103411430122 in words is "twenty-two trillion, one hundred three billion, four hundred eleven million, four hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 11 22 127 254 257 514 1397 2794 2827 3109 5654 6218 9901 19802 32639 34199 65278 68398 108911 217822 359029 394843 718058 789686 799013 1257427 1598026 2514854 2544557 4343273 5089114 8686546 8789143 13831697 17578286 27663394 27990127 30782209 55980254 61564418 101474651 202949302 323158739 338604299 646317478 677208598 1116221161 2232442322 3554746129 3909340543 7109492258 7818681086 7911027713 15822055426 43002745973 86005491946 87021304843 174042609686 1004700519551 2009401039102 11051705715061 22103411430122