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30071516130 = 23251971696081
BaseRepresentation
bin11100000000011001…
…101110101111100010
32212121201212022001200
4130000121232233202
5443041302004010
621451544542030
72113125445455
oct340031565742
985551768050
1030071516130
1111831650177
1259b2a81916
132ab3144a36
141653b4349c
15bb0053cc0
hex70066ebe2

30071516130 has 48 divisors (see below), whose sum is σ = 78582871224. Its totient is φ = 7978360320.

The previous prime is 30071516107. The next prime is 30071516183. The reversal of 30071516130 is 3161517003.

30071516130 is a `hidden beast` number, since 30 + 0 + 7 + 15 + 1 + 613 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24920726769 + 5150789361 = 157863^2 + 71769^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30071516094 and 30071516103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830311 + ... + 865770.

Almost surely, 230071516130 is an apocalyptic number.

30071516130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30071516130 is an abundant number, since it is smaller than the sum of its proper divisors (48511355094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30071516130 is a wasteful number, since it uses less digits than its factorization.

30071516130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696291 (or 1696288 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 30071516130 in words is "thirty billion, seventy-one million, five hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 197 394 591 985 1182 1773 1970 2955 3546 5910 8865 17730 1696081 3392162 5088243 8480405 10176486 15264729 16960810 25441215 30529458 50882430 76323645 152647290 334127957 668255914 1002383871 1670639785 2004767742 3007151613 3341279570 5011919355 6014303226 10023838710 15035758065 30071516130