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21422400130035 = 32531131117225643
BaseRepresentation
bin1001101111011110010101…
…00011001100101111110011
32210211221221220020210211100
410313233022203030233303
510301441033413130120
6113321151553215443
74340501021443332
oct467571243145763
983757856223740
1021422400130035
11690a209435593
12249b97a561583
13bc517b8c8408
14540bc7803d19
152723a4811490
hex137bca8ccbf3

21422400130035 has 48 divisors (see below), whose sum is σ = 38622567379968. Its totient is φ = 10972320091200.

The previous prime is 21422400129961. The next prime is 21422400130037. The reversal of 21422400130035 is 53003100422412.

21422400130035 is a `hidden beast` number, since 214 + 2 + 2 + 400 + 13 + 0 + 0 + 35 = 666.

It is not a de Polignac number, because 21422400130035 - 230 = 21421326388211 is a prime.

It is a super-3 number, since 3×214224001300353 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21422400129990 and 21422400130008.

It is not an unprimeable number, because it can be changed into a prime (21422400130037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58430077 + ... + 58795566.

It is an arithmetic number, because the mean of its divisors is an integer number (804636820416).

Almost surely, 221422400130035 is an apocalyptic number.

21422400130035 is a deficient number, since it is larger than the sum of its proper divisors (17200167249933).

21422400130035 is a wasteful number, since it uses less digits than its factorization.

21422400130035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117225816 (or 117225813 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 21422400130035 its reverse (53003100422412), we get a palindrome (74425500552447).

The spelling of 21422400130035 in words is "twenty-one trillion, four hundred twenty-two billion, four hundred million, one hundred thirty thousand, thirty-five".

Divisors: 1 3 5 9 15 31 45 93 131 155 279 393 465 655 1179 1395 1965 4061 5895 12183 20305 36549 60915 182745 117225643 351676929 586128215 1055030787 1758384645 3633994933 5275153935 10901984799 15356559233 18169974665 32705954397 46069677699 54509923995 76782796165 138209033097 163529771985 230348388495 476053336223 691045165485 1428160008669 2380266681115 4284480026007 7140800043345 21422400130035