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30131148210 = 2356716391967
BaseRepresentation
bin11100000011111101…
…001101010110110010
32212202220001220220020
4130003331031112302
5443202033220320
621501515024310
72114451351102
oct340375152662
985686056806
1030131148210
111186227a689
125a0aa3b096
132ac25c33a7
14165ba27202
15bb53d2940
hex703f4d5b2

30131148210 has 64 divisors (see below), whose sum is σ = 73845153792. Its totient is φ = 7866403776.

The previous prime is 30131148197. The next prime is 30131148221. The reversal of 30131148210 is 1284113103.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 281647 + ... + 373613.

It is an arithmetic number, because the mean of its divisors is an integer number (1153830528).

Almost surely, 230131148210 is an apocalyptic number.

30131148210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30131148210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36922576896).

30131148210 is an abundant number, since it is smaller than the sum of its proper divisors (43714005582).

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

30131148210 is a wasteful number, since it uses less digits than its factorization.

30131148210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92207.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 30131148210 in words is "thirty billion, one hundred thirty-one million, one hundred forty-eight thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 163 201 326 335 402 489 670 815 978 1005 1630 2010 2445 4890 10921 21842 32763 54605 65526 91967 109210 163815 183934 275901 327630 459835 551802 919670 1379505 2759010 6161789 12323578 14990621 18485367 29981242 30808945 36970734 44971863 61617890 74953105 89943726 92426835 149906210 184853670 224859315 449718630 1004371607 2008743214 3013114821 5021858035 6026229642 10043716070 15065574105 30131148210