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1331111332020 = 2235233929245501
BaseRepresentation
bin10011010111101100011…
…010110000100010110100
311201020211102210212112110
4103113230122300202310
5133302104000111040
62455300515251020
7165112115431311
oct23275432604264
94636742725473
101331111332020
11473580710438
12195b8a5a9a70
13986a57aa142
14485d7441d08
152495a3c2980
hex135ec6b08b4

1331111332020 has 96 divisors (see below), whose sum is σ = 3890165771520. Its totient is φ = 339442048000.

The previous prime is 1331111332007. The next prime is 1331111332087. The reversal of 1331111332020 is 202331111331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5299270 + ... + 5544770.

It is an arithmetic number, because the mean of its divisors is an integer number (40522560120).

Almost surely, 21331111332020 is an apocalyptic number.

1331111332020 is a gapful number since it is divisible by the number (10) 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 1331111332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945082885760).

1331111332020 is an abundant number, since it is smaller than the sum of its proper divisors (2559054439500).

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

1331111332020 is a wasteful number, since it uses less digits than its factorization.

1331111332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249465 (or 249463 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1331111332020 its reverse (202331111331), we get a palindrome (1533442443351).

The spelling of 1331111332020 in words is "one trillion, three hundred thirty-one billion, one hundred eleven million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 3929 7858 11787 15716 19645 23574 39290 47148 58935 78580 90367 117870 180734 235740 245501 271101 361468 451835 491002 542202 736503 903670 982004 1084404 1227505 1355505 1473006 1807340 2455010 2711010 2946012 3682515 4910020 5422020 5646523 7365030 11293046 14730060 16939569 22586092 28232615 33879138 56465230 67758276 84697845 112930460 169395690 338791380 964573429 1929146858 2893720287 3858293716 4822867145 5787440574 9645734290 11574881148 14468601435 19291468580 22185188867 28937202870 44370377734 57874405740 66555566601 88740755468 110925944335 133111133202 221851888670 266222266404 332777833005 443703777340 665555666010 1331111332020