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130312330233312 = 2536783692420839
BaseRepresentation
bin11101101000010010110100…
…001001110100010111100000
3122002101201220100110001210210
4131220102310021310113200
5114040014123014431222
61141052354050454120
736306520010660163
oct3550226411642740
9562351810401723
10130312330233312
11385811701aa297
121274749b894340
135793527aa0626
142427216b21ada
15100eac94a9d0c
hex7684b42745e0

130312330233312 has 96 divisors (see below), whose sum is σ = 347217014188800. Its totient is φ = 42783992875008.

The previous prime is 130312330233299. The next prime is 130312330233313. The reversal of 130312330233312 is 213332033213031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 130312330233312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130312330233313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52618989 + ... + 55039827.

It is an arithmetic number, because the mean of its divisors is an integer number (3616843897800).

Almost surely, 2130312330233312 is an apocalyptic number.

130312330233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130312330233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173608507094400).

130312330233312 is an abundant number, since it is smaller than the sum of its proper divisors (216904683955488).

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

130312330233312 is a wasteful number, since it uses less digits than its factorization.

130312330233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429288 (or 2429280 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 130312330233312 its reverse (213332033213031), we get a palindrome (343644363446343).

The spelling of 130312330233312 in words is "one hundred thirty trillion, three hundred twelve billion, three hundred thirty million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 8369 16738 25107 33476 50214 66952 100428 133904 200856 267808 401712 560723 803424 1121446 1682169 2242892 2420839 3364338 4485784 4841678 6728676 7262517 8971568 9683356 13457352 14525034 17943136 19366712 26914704 29050068 38733424 53829408 58100136 77466848 116200272 162196213 232400544 324392426 486588639 648784852 973177278 1297569704 1946354556 2595139408 3892709112 5190278816 7785418224 15570836448 20260001591 40520003182 60780004773 81040006364 121560009546 162080012728 243120019092 324160025456 486240038184 648320050912 972480076368 1357420106597 1944960152736 2714840213194 4072260319791 5429680426388 8144520639582 10859360852776 16289041279164 21718721705552 32578082558328 43437443411104 65156165116656 130312330233312