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1331022231330 = 235112894119919
BaseRepresentation
bin10011010111100111000…
…110110111011100100010
311201020121020011002100220
4103113213012313130202
5133301413142400310
62455244013423510
7165106654202451
oct23274706673442
94636536132326
101331022231330
11473535393800
12195b6479ab96
13986901b163c
14485c968ab98
1524952672670
hex135e71b7722

1331022231330 has 96 divisors (see below), whose sum is σ = 3550711852800. Its totient is φ = 319046449920.

The previous prime is 1331022231271. The next prime is 1331022231347. The reversal of 1331022231330 is 331322201331.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1331022231330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1736890 + ... + 2383029.

It is an arithmetic number, because the mean of its divisors is an integer number (36986581800).

Almost surely, 21331022231330 is an apocalyptic number.

1331022231330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331022231330 is an abundant number, since it is smaller than the sum of its proper divisors (2219689621470).

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

1331022231330 is a wasteful number, since it uses less digits than its factorization.

1331022231330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120040 (or 4120029 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1331022231330 its reverse (331322201331), we get a palindrome (1662344432661).

Subtracting from 1331022231330 its reverse (331322201331), we obtain a cube (999700029999 = 99993).

The spelling of 1331022231330 in words is "one trillion, three hundred thirty-one billion, twenty-two million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 89 110 121 165 178 242 267 330 363 445 534 605 726 890 979 1210 1335 1815 1958 2670 2937 3630 4895 5874 9790 10769 14685 21538 29370 32307 53845 64614 107690 161535 323070 4119919 8239838 12359757 20599595 24719514 41199190 45319109 61798785 90638218 123597570 135957327 226595545 271914654 366672791 453191090 498510199 679786635 733345582 997020398 1100018373 1359573270 1495530597 1833363955 2200036746 2492550995 2991061194 3666727910 4033400701 4985101990 5500091865 7477652985 8066801402 11000183730 12100202103 14955305970 20167003505 24200404206 40334007010 44367407711 60501010515 88734815422 121002021030 133102223133 221837038555 266204446266 443674077110 665511115665 1331022231330