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1331113130000 = 2454392333931
BaseRepresentation
bin10011010111101100100…
…001100111100000010000
311201020211120012012220022
4103113230201213200100
5133302104430130000
62455301022003012
7165112136630243
oct23275441474020
94636746165808
101331113130000
11473581729275
12195b8b116468
13986a5c89634
14485d778d25a
152495a62a585
hex135ec867810

1331113130000 has 100 divisors (see below), whose sum is σ = 3223674506448. Its totient is φ = 532293840000.

The previous prime is 1331113129993. The next prime is 1331113130003. The reversal of 1331113130000 is 313111331.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (1331113130003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39213035 + ... + 39246965.

Almost surely, 21331113130000 is an apocalyptic number.

1331113130000 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 1331113130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611837253224).

1331113130000 is an abundant number, since it is smaller than the sum of its proper divisors (1892561376448).

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

1331113130000 is an equidigital number, since it uses as much as digits as its factorization.

1331113130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37882 (or 37861 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1331113130000 its reverse (313111331), we get a palindrome (1331426241331).

The spelling of 1331113130000 in words is "one trillion, three hundred thirty-one billion, one hundred thirteen million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3923 5000 7846 10000 15692 19615 31384 33931 39230 62768 67862 78460 98075 135724 156920 169655 196150 271448 313840 339310 392300 490375 542896 678620 784600 848275 980750 1357240 1569200 1696550 1961500 2451875 2714480 3393100 3923000 4241375 4903750 6786200 7846000 8482750 9807500 13572400 16965500 19615000 21206875 33931000 39230000 42413750 67862000 84827500 133111313 169655000 266222626 339310000 532445252 665556565 1064890504 1331113130 2129781008 2662226260 3327782825 5324452520 6655565650 10648905040 13311131300 16638914125 26622262600 33277828250 53244525200 66555656500 83194570625 133111313000 166389141250 266222626000 332778282500 665556565000 1331113130000