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30123112132000 = 255341183677513
BaseRepresentation
bin1101101100101100101010…
…11001011110110110100000
310221122202000110220001111201
412312112111121132312200
512422014113201211000
6144022211111250544
76226215541265566
oct666262531366640
9127582013801451
1030123112132000
11966415a543a98
123466089379a54
1313a679c30b734
14761d75b67a36
153738880c296a
hex1b659565eda0

30123112132000 has 96 divisors (see below), whose sum is σ = 75817669518864. Its totient is φ = 11755360768000.

The previous prime is 30123112131967. The next prime is 30123112132033. The reversal of 30123112132000 is 23121132103.

It is an interprime number because it is at equal distance from previous prime (30123112131967) and next prime (30123112132033).

It can be written as a sum of positive squares in 8 ways, for example, as 406702103824 + 29716410028176 = 637732^2 + 5451276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91674757 + ... + 92002756.

Almost surely, 230123112132000 is an apocalyptic number.

It is an amenable number.

30123112132000 is an abundant number, since it is smaller than the sum of its proper divisors (45694557386864).

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

30123112132000 is a wasteful number, since it uses less digits than its factorization.

30123112132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183677579 (or 183677561 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 30123112132000 its reverse (23121132103), we get a palindrome (30146233264103).

The spelling of 30123112132000 in words is "thirty trillion, one hundred twenty-three billion, one hundred twelve million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 1000 1025 1312 1640 2000 2050 3280 4000 4100 5125 6560 8200 10250 16400 20500 32800 41000 82000 164000 183677513 367355026 734710052 918387565 1469420104 1836775130 2938840208 3673550260 4591937825 5877680416 7347100520 7530778033 9183875650 14694201040 15061556066 18367751300 22959689125 29388402080 30123112132 36735502600 37653890165 45919378250 60246224264 73471005200 75307780330 91838756500 120492448528 146942010400 150615560660 183677513000 188269450825 240984897056 301231121320 367355026000 376538901650 602462242640 734710052000 753077803300 941347254125 1204924485280 1506155606600 1882694508250 3012311213200 3765389016500 6024622426400 7530778033000 15061556066000 30123112132000