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22121110421433 = 333179073342487
BaseRepresentation
bin1010000011110011110001…
…11011011011111110111001
32220022202110012221012222000
411001321320323123332321
510344413013231441213
6115014144155451213
74442124511101432
oct501717073337671
986282405835860
1022121110421433
117059568156001
122593277156b09
13c4601cac176a
1456694b706489
1528564a55cc73
hex141e78edbfb9

22121110421433 has 32 divisors (see below), whose sum is σ = 33833465733120. Its totient is φ = 14269874930640.

The previous prime is 22121110421413. The next prime is 22121110421453. The reversal of 22121110421433 is 33412401112122.

22121110421433 is a `hidden beast` number, since 2 + 2 + 1 + 211 + 10 + 4 + 2 + 1 + 433 = 666.

It is an interprime number because it is at equal distance from previous prime (22121110421413) and next prime (22121110421453).

It is not a de Polignac number, because 22121110421433 - 29 = 22121110420921 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 = 22121110421397 and 22121110421406.

It is not an unprimeable number, because it can be changed into a prime (22121110421413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4946916 + ... + 8289402.

It is an arithmetic number, because the mean of its divisors is an integer number (1057295804160).

Almost surely, 222121110421433 is an apocalyptic number.

It is an amenable number.

22121110421433 is a deficient number, since it is larger than the sum of its proper divisors (11712355311687).

22121110421433 is a wasteful number, since it uses less digits than its factorization.

22121110421433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350434 (or 3350428 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 22121110421433 its reverse (33412401112122), we get a palindrome (55533511533555).

The spelling of 22121110421433 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred ten million, four hundred twenty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 27 31 93 279 837 7907 23721 71163 213489 245117 735351 2206053 3342487 6618159 10027461 30082383 90247149 103617097 310851291 932553873 2797661619 26429044709 79287134127 237861402381 713584207143 819300385979 2457901157937 7373703473811 22121110421433