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1331200230030 = 2325112399560503
BaseRepresentation
bin10011010111110001101…
…101111000001010001110
311201021001122002100200100
4103113301231320022032
5133302244224330110
62455313412511530
7165114245154216
oct23276155701216
94637048070610
101331200230030
11473616909870
12195bb431b5a6
13986bb034608
1448605183246
15249630d2bc0
hex135f1b7828e

1331200230030 has 96 divisors (see below), whose sum is σ = 3777348556800. Its totient is φ = 322580111040.

The previous prime is 1331200230001. The next prime is 1331200230149. The reversal of 1331200230030 is 300320021331.

1331200230030 is a `hidden beast` number, since 1 + 331 + 2 + 0 + 0 + 2 + 300 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1331200229985 and 1331200230012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2094759 + ... + 2655261.

It is an arithmetic number, because the mean of its divisors is an integer number (39347380800).

Almost surely, 21331200230030 is an apocalyptic number.

1331200230030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331200230030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888674278400).

1331200230030 is an abundant number, since it is smaller than the sum of its proper divisors (2446148326770).

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

1331200230030 is a wasteful number, since it uses less digits than its factorization.

1331200230030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562926 (or 562923 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1331200230030 its reverse (300320021331), we get a palindrome (1631520251361).

The spelling of 1331200230030 in words is "one trillion, three hundred thirty-one billion, two hundred million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2399 4798 7197 11995 14394 21591 23990 26389 35985 43182 52778 71970 79167 107955 131945 158334 215910 237501 263890 395835 475002 560503 791670 1121006 1187505 1681509 2375010 2802515 3363018 5044527 5605030 6165533 8407545 10089054 12331066 16815090 18496599 25222635 30827665 36993198 50445270 55489797 61655330 92482995 110979594 184965990 277448985 554897970 1344646697 2689293394 4033940091 6723233485 8067880182 12101820273 13446466970 14791113667 20169700455 24203640546 29582227334 40339400910 44373341001 60509101365 73955568335 88746682002 121018202730 133120023003 147911136670 221866705005 266240046006 443733410010 665600115015 1331200230030