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30134144143103 = 711137310113729803
BaseRepresentation
bin1101101101000001001101…
…11101010000111011111111
310221200210111022120021201112
412312200212331100323333
512422204211400034403
6144031233521432235
76230056116654350
oct666404675207377
9127623438507645
1030134144143103
119668900856240
123468247a9b67b
1313a7839a63560
14762700dabd27
15373cd18869d8
hex1b6826f50eff

30134144143103 has 128 divisors (see below), whose sum is σ = 41723890919424. Its totient is φ = 21011125248000.

The previous prime is 30134144143097. The next prime is 30134144143111.

30134144143103 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 30134144143103 - 210 = 30134144142079 is a prime.

It is a super-3 number, since 3×301341441431033 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30134144143103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30134144143003) 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, 1011096200 + ... + 1011126002.

It is an arithmetic number, because the mean of its divisors is an integer number (325967897808).

Almost surely, 230134144143103 is an apocalyptic number.

30134144143103 is a deficient number, since it is larger than the sum of its proper divisors (11589746776321).

30134144143103 is a wasteful number, since it uses less digits than its factorization.

30134144143103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30145.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 3013414 and 4143103, that added together give a palindrome (7156517).

The spelling of 30134144143103 in words is "thirty trillion, one hundred thirty-four billion, one hundred forty-four million, one hundred forty-three thousand, one hundred three".

Divisors: 1 7 11 13 73 77 91 101 137 143 511 707 803 949 959 1001 1111 1313 1507 1781 5621 6643 7373 7777 9191 10001 10439 10549 12467 13837 14443 19591 29803 51611 70007 73073 81103 95849 96859 101101 110011 130013 137137 152207 179881 208621 327833 387439 567721 670943 770077 910091 1010101 1054339 1065449 1259167 1430143 1978691 2175619 2294831 2712073 3010103 4083011 4261829 7070707 7380373 10011001 11111111 13131313 13850837 15229333 21070721 23931809 28283047 28581077 29832803 33111133 39131339 44913121 53079143 77777777 91919191 144444443 167522663 197981329 219737519 231777931 273919373 298059803 311113517 314391847 371554001 412384111 430444729 583870573 1011111101 1538162633 2086418621 2177794619 2417112709 2856587747 2886688777 3013113103 3278657833 3874777439 4087094011 4536225221 5360993443 16919788963 19996114229 22950604831 27123442073 30104040103 31422465217 31753576547 37526954101 42622551829 58970927873 210728280721 219957256519 298357862803 331144441133 391352521339 412796495111 2318011087931 2739467649373 4304877734729 30134144143103