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30131411413103 = 71113208314450941
BaseRepresentation
bin1101101100111100001000…
…00100101110100001101111
310221200112102212110012220022
412312132010010232201233
512422133112310204403
6144030102421512355
76226631315102450
oct666360404564157
9127615385405808
1030131411413103
1196677292447a0
1234678048726bb
1313a74c285a360
14762522099127
15373bc19d8d38
hex1b678412e86f

30131411413103 has 32 divisors (see below), whose sum is σ = 40475585644032. Its totient is φ = 21662537097600.

The previous prime is 30131411413073. The next prime is 30131411413121.

30131411413103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30131411413103 - 210 = 30131411412079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30131411410103) 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 31 ways as a sum of consecutive naturals, for example, 5140388 + ... + 9310553.

It is an arithmetic number, because the mean of its divisors is an integer number (1264862051376).

Almost surely, 230131411413103 is an apocalyptic number.

30131411413103 is a deficient number, since it is larger than the sum of its proper divisors (10344174230929).

30131411413103 is a wasteful number, since it uses less digits than its factorization.

30131411413103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14453055.

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 3013141 and 1413103, that added together give a palindrome (4426244).

The spelling of 30131411413103 in words is "thirty trillion, one hundred thirty-one billion, four hundred eleven million, four hundred thirteen thousand, one hundred three".

Divisors: 1 7 11 13 77 91 143 1001 2083 14581 22913 27079 160391 189553 297869 2085083 14450941 101156587 158960351 187862233 1112722457 1315035631 2066484563 14465391941 30101310103 210709170721 331114411133 391317031339 2317800877931 2739219219373 4304487344729 30131411413103