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30167541131 = 71317291494513
BaseRepresentation
bin11100000110001000…
…000010010110001011
32212212102112212121012
4130012020002112023
5443240342304011
621505255034135
72115402603650
oct340610022613
985772485535
1030167541131
1111880877182
125a1b06b94b
132ac9cc6170
1416627bbc27
15bb86c0a8b
hex70620258b

30167541131 has 64 divisors (see below), whose sum is σ = 40951008000. Its totient is φ = 21539782656.

The previous prime is 30167541121. The next prime is 30167541149. The reversal of 30167541131 is 13114576103.

It is not a de Polignac number, because 30167541131 - 214 = 30167524747 is a prime.

It is a super-2 number, since 2×301675411312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30167541101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6682331 + ... + 6686843.

It is an arithmetic number, because the mean of its divisors is an integer number (639859500).

Almost surely, 230167541131 is an apocalyptic number.

30167541131 is a deficient number, since it is larger than the sum of its proper divisors (10783466869).

30167541131 is a wasteful number, since it uses less digits than its factorization.

30167541131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 30167541131 in words is "thirty billion, one hundred sixty-seven million, five hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 7 13 17 29 91 119 149 203 221 377 493 1043 1547 1937 2533 2639 3451 4321 4513 6409 13559 17731 30247 31591 32929 44863 56173 58669 73457 76721 130877 230503 393211 410683 514199 537047 672437 916139 954941 997373 1701401 2224909 4707059 6684587 6981611 8741681 11431429 11909807 15574363 19500673 28923817 61191767 80020003 136504711 148608577 202466719 253508749 331511441 1040260039 1774561243 2320580087 4309648733 30167541131