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22030132123233 = 361313731693073
BaseRepresentation
bin1010000001001010010100…
…01100110001011001100001
32220000001121210012211000000
411000211022030301121201
510341420202310420413
6114504300351050213
74432424132241513
oct500451214613141
986001553184000
1022030132123233
117023a21294003
122579706810969
13c3a5813c0210
1456239a909bb3
152830c338a073
hex14094a331661

22030132123233 has 56 divisors (see below), whose sum is σ = 35596792810152. Its totient is φ = 13547122380288.

The previous prime is 22030132123213. The next prime is 22030132123277. The reversal of 22030132123233 is 33232123103022.

22030132123233 is a `hidden beast` number, since 2 + 2 + 0 + 301 + 3 + 2 + 123 + 233 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 696236710464 + 21333895412769 = 834408^2 + 4618863^2 .

It is not a de Polignac number, because 22030132123233 - 26 = 22030132123169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22030132123197 and 22030132123206.

It is not an unprimeable number, because it can be changed into a prime (22030132123213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12165385 + ... + 13858457.

It is an arithmetic number, because the mean of its divisors is an integer number (635657014467).

Almost surely, 222030132123233 is an apocalyptic number.

It is an amenable number.

22030132123233 is a deficient number, since it is larger than the sum of its proper divisors (13566660686919).

22030132123233 is a wasteful number, since it uses less digits than its factorization.

22030132123233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694477 (or 1694462 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 22030132123233 its reverse (33232123103022), we get a palindrome (55262255226255).

The spelling of 22030132123233 in words is "twenty-two trillion, thirty billion, one hundred thirty-two million, one hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 1373 3159 4119 9477 12357 17849 37071 53547 111213 160641 333639 481923 1000917 1445769 1693073 4337307 5079219 13011921 15237657 22009949 45712971 66029847 137138913 198089541 411416739 594268623 1234250217 1782805869 2324589229 5348417607 6973767687 16045252821 20921303061 30219659977 62763909183 90658979931 188291727549 271976939793 564875182647 815930819379 1694625547941 2447792458137 7343377374411 22030132123233