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30002331011331 = 3721991025615527
BaseRepresentation
bin1101101001001011101100…
…10010000100100100000011
310221020012021000220101220010
412310211312102010210003
512413024233214330311
6143450514112520003
76214411505560500
oct664456622044403
9127205230811803
1030002331011331
119617a0a7733a8
12344679bb50003
1313982913517b3
1475a198bac4a7
15370669773da6
hex1b4976484903

30002331011331 has 24 divisors (see below), whose sum is σ = 46768068076800. Its totient is φ = 17058037428432.

The previous prime is 30002331011299. The next prime is 30002331011363. The reversal of 30002331011331 is 13311013320003.

It is an interprime number because it is at equal distance from previous prime (30002331011299) and next prime (30002331011363).

It is not a de Polignac number, because 30002331011331 - 25 = 30002331011299 is a prime.

It is a super-3 number, since 3×300023310113313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 30002331011298 and 30002331011307.

It is not an unprimeable number, because it can be changed into a prime (30002331012331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512778511 + ... + 512837016.

It is an arithmetic number, because the mean of its divisors is an integer number (1948669503200).

Almost surely, 230002331011331 is an apocalyptic number.

30002331011331 is a deficient number, since it is larger than the sum of its proper divisors (16765737065469).

30002331011331 is a wasteful number, since it uses less digits than its factorization.

30002331011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025615743 (or 1025615736 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 30002331011331 its reverse (13311013320003), we get a palindrome (43313344331334).

The spelling of 30002331011331 in words is "thirty trillion, two billion, three hundred thirty-one million, eleven thousand, three hundred thirty-one".

Divisors: 1 3 7 21 49 147 199 597 1393 4179 9751 29253 1025615527 3076846581 7179308689 21537926067 50255160823 150765482469 204097489873 612292469619 1428682429111 4286047287333 10000777003777 30002331011331