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5303430343035 = 3251123113131833
BaseRepresentation
bin100110100101100110100…
…0101001110100101111011
3200210000002011211122011100
41031023031011032211323
51143342411131434120
615140210125502443
71055105643056556
oct115131505164573
920700064748140
105303430343035
111765199194300
12717a10111a23
132c615a7b0b46
1414498a31369d
1592e4b12d490
hex4d2cd14e97b

5303430343035 has 72 divisors (see below), whose sum is σ = 10136769525792. Its totient is φ = 2563091308800.

The previous prime is 5303430342989. The next prime is 5303430343037.

5303430343035 is a `hidden beast` number, since 5 + 3 + 0 + 343 + 0 + 3 + 4 + 303 + 5 = 666.

5303430343035 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5303430343035 - 210 = 5303430342011 is a prime.

It is a super-2 number, since 2×53034303430352 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5303430343037) 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 71 ways as a sum of consecutive naturals, for example, 127479 + ... + 3259311.

It is an arithmetic number, because the mean of its divisors is an integer number (140788465636).

Almost surely, 25303430343035 is an apocalyptic number.

5303430343035 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5303430343035 is a deficient number, since it is larger than the sum of its proper divisors (4833339182757).

5303430343035 is a wasteful number, since it uses less digits than its factorization.

5303430343035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132177 (or 3132163 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 36.

It can be divided in two parts, 5303430 and 343035, that added together give a palindrome (5646465).

The spelling of 5303430343035 in words is "five trillion, three hundred three billion, four hundred thirty million, three hundred forty-three thousand, thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 311 363 495 605 933 1089 1555 1815 2799 3421 4665 5445 10263 13995 17105 30789 37631 51315 112893 153945 188155 338679 564465 1693395 3131833 9395499 15659165 28186497 34450163 46977495 103350489 140932485 172250815 310051467 378951793 516752445 974000063 1136855379 1550257335 1894758965 2922000189 3410566137 4870000315 5684276895 8766000567 10714000693 14610000945 17052830685 32142002079 43830002835 53570003465 96426006237 117854007623 160710010395 353562022869 482130031185 589270038115 1060686068607 1767810114345 5303430343035