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30222133013331 = 3471914511933397
BaseRepresentation
bin1101101111100101000111…
…00000001010101101010011
310222000012121102011000110000
412313302203200022231103
512430124412022411311
6144135504540341043
76236322426012660
oct667624340125523
9128005542130400
1030222133013331
1196a2153218806
123481303244783
1313b2c200125cc
14766a8ab54a67
153762313a3056
hex1b7ca380ab53

30222133013331 has 80 divisors (see below), whose sum is σ = 54349209826560. Its totient is φ = 16349569934400.

The previous prime is 30222133013291. The next prime is 30222133013399. The reversal of 30222133013331 is 13331033122203.

30222133013331 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 21 + 3 + 301 + 3 + 331 = 666.

It is not a de Polignac number, because 30222133013331 - 27 = 30222133013203 is a prime.

It is a super-2 number, since 2×302221330133312 (a number of 28 digits) contains 22 as substring.

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 = 30222133013295 and 30222133013304.

It is not an unprimeable number, because it can be changed into a prime (30222133013431) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 14664925 + ... + 16598321.

It is an arithmetic number, because the mean of its divisors is an integer number (679365122832).

Almost surely, 230222133013331 is an apocalyptic number.

30222133013331 is a deficient number, since it is larger than the sum of its proper divisors (24127076813229).

30222133013331 is a wasteful number, since it uses less digits than its factorization.

30222133013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934886 (or 1934877 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 30222133013331 its reverse (13331033122203), we get a palindrome (43553166135534).

The spelling of 30222133013331 in words is "thirty trillion, two hundred twenty-two billion, one hundred thirty-three million, thirteen thousand, three hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1451 1539 3591 4353 10157 10773 13059 27569 30471 39177 82707 91413 117531 192983 248121 274239 578949 744363 822717 1736847 1933397 2233089 5210541 5800191 13533779 15631623 17400573 36734543 40601337 52201719 110203629 121804011 156605157 257141801 330610887 365412033 771425403 991832661 1096236099 2314276209 2805359047 2975497983 6942828627 8416077141 19637513329 20828485881 25248231423 53301821893 58912539987 75744694269 159905465679 176737619961 227234082807 373112753251 479716397037 530212859883 1119338259753 1439149191111 1590638579649 3358014779259 4317447573333 10074044337777 30222133013331