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30124133142103 = 71113731373009103
BaseRepresentation
bin1101101100101110100100…
…10000010100111001010111
310221122211122122002202001201
412312113102100110321113
512422023211041021403
6144022500303133331
76226253046603460
oct666272220247127
9127584578082051
1030124133142103
119664633907aa0
1234663132a4247
1313a69029c3a20
147620315c3d67
153738e7a5421d
hex1b65d2414e57

30124133142103 has 64 divisors (see below), whose sum is σ = 41299735744512. Its totient is φ = 21214891284480.

The previous prime is 30124133142067. The next prime is 30124133142127.

30124133142103 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 30124133142103 - 217 = 30124133011031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30124133142133) 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 63 ways as a sum of consecutive naturals, for example, 8506450 + ... + 11515552.

It is an arithmetic number, because the mean of its divisors is an integer number (645308371008).

Almost surely, 230124133142103 is an apocalyptic number.

30124133142103 is a deficient number, since it is larger than the sum of its proper divisors (11175602602409).

30124133142103 is a wasteful number, since it uses less digits than its factorization.

30124133142103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009344.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 3012413 and 3142103, that added together give a palindrome (6154516).

The spelling of 30124133142103 in words is "thirty trillion, one hundred twenty-four billion, one hundred thirty-three million, one hundred forty-two thousand, one hundred three".

Divisors: 1 7 11 13 73 77 91 137 143 511 803 949 959 1001 1507 1781 5621 6643 10001 10439 10549 12467 19591 70007 73073 110011 130013 137137 770077 910091 1430143 3009103 10011001 21063721 33100133 39118339 219664519 231700931 273828373 412247111 430301729 1537651633 2416309709 2855638747 2885729777 3012112103 4534718221 5359212443 16914167963 19989471229 30094039103 31412026217 31743027547 37514487101 58951336873 210658273721 219884183519 331034430133 391222508339 412659358111 2317241010931 2738557558373 4303447591729 30124133142103