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30452122104 = 23329107461887
BaseRepresentation
bin11100010111000101…
…101000000111111000
32220121021001002022020
4130113011220013320
5444331220401404
621553422354440
72125426524045
oct342705500770
986537032266
1030452122104
1111a0747a068
125a9a42ba20
132b43c55981
14168c4da1cc
15bd3685ed9
hex7171681f8

30452122104 has 128 divisors (see below), whose sum is σ = 79753766400. Its totient is φ = 9677104640.

The previous prime is 30452122097. The next prime is 30452122157. The reversal of 30452122104 is 40122125403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34331149 + ... + 34332035.

It is an arithmetic number, because the mean of its divisors is an integer number (623076300).

Almost surely, 230452122104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30452122104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39876883200).

30452122104 is an abundant number, since it is smaller than the sum of its proper divisors (49301644296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30452122104 is a wasteful number, since it uses less digits than its factorization.

30452122104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 30452122104 its reverse (40122125403), we get a palindrome (70574247507).

The spelling of 30452122104 in words is "thirty billion, four hundred fifty-two million, one hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 107 116 174 214 232 321 348 428 461 642 696 856 887 922 1284 1383 1774 1844 2568 2661 2766 3103 3548 3688 5322 5532 6206 7096 9309 10644 11064 12412 13369 18618 21288 24824 25723 26738 37236 40107 49327 51446 53476 74472 77169 80214 94909 98654 102892 106952 147981 154338 160428 189818 197308 205784 284727 295962 308676 320856 379636 394616 408907 569454 591924 617352 759272 817814 1138908 1183848 1226721 1430483 1635628 2277816 2453442 2752361 2860966 3271256 4291449 4906884 5504722 5721932 8257083 8582898 9813768 11009444 11443864 11858303 16514166 17165796 22018888 23716606 33028332 34331592 35574909 43753049 47433212 66056664 71149818 87506098 94866424 131259147 142299636 175012196 262518294 284599272 350024392 525036588 1050073176 1268838421 2537676842 3806515263 5075353684 7613030526 10150707368 15226061052 30452122104