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30114422441103 = 37111337557486589
BaseRepresentation
bin1101101100011100011110…
…11100111100010010001111
310221121220120212201000120010
412312032033130330102033
512421343314121103403
6144014212533124303
76225460314162030
oct666161734742217
9127556525630503
1030114422441103
119660500428670
123464463189693
1313a5a15c286c0
1476178da4aa87
1537352a28e603
hex1b638f73c48f

30114422441103 has 128 divisors (see below), whose sum is σ = 55467709839360. Its totient is φ = 14024945387520.

The previous prime is 30114422441093. The next prime is 30114422441143.

It is a happy number.

30114422441103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30114422441103 - 24 = 30114422441087 is a prime.

It is a super-2 number, since 2×301144224411032 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30114422441143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61645533 + ... + 62132121.

It is an arithmetic number, because the mean of its divisors is an integer number (433341483120).

Almost surely, 230114422441103 is an apocalyptic number.

30114422441103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30114422441103 is a deficient number, since it is larger than the sum of its proper divisors (25353287398257).

30114422441103 is a wasteful number, since it uses less digits than its factorization.

30114422441103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487217.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 3011442 and 2441103, that added together give a palindrome (5452545).

The spelling of 30114422441103 in words is "thirty trillion, one hundred fourteen billion, four hundred twenty-two million, four hundred forty-one thousand, one hundred three".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 557 777 1001 1221 1443 1671 2849 3003 3367 3899 5291 6127 7241 8547 10101 11697 15873 18381 20609 21723 37037 42889 50687 61827 79651 111111 128667 144263 152061 226699 238953 267917 432789 486589 557557 680097 803751 1459767 1586893 1672671 1875419 2947087 3406123 4760679 5352479 5626257 6325657 8841261 10218369 16057437 18003793 18976971 20629609 37467353 44279599 54011379 61888827 69582227 112402059 126026551 132838797 198041723 208746681 234049309 271030073 378079653 487075589 594125169 702147927 813090219 1386292061 1461226767 1638345163 1897210511 2574542399 2981330803 3523390949 4158876183 4915035489 5691631533 7723627197 8943992409 10028112701 10570172847 18021796793 20869315621 24663736643 30084338103 38757300439 54065390379 62607946863 70196788907 73991209929 110309239711 116271901317 130365465113 210590366721 271301103073 330927719133 391096395339 772164677977 813903309219 912558255791 1434020116243 2316494033931 2737674767373 4302060348729 10038140813701 30114422441103