Search a number
-
+
1130311101020 = 2253110118050321
BaseRepresentation
bin10000011100101011110…
…010101010101001011100
311000001112022202020110212
4100130223302222221130
5122004334120213040
62223131401351552
7144443106556313
oct20345362525134
94001468666425
101130311101020
113a63a9170902
1216308aa985b8
1382784756bca
143c9c8d7527a
151e606a7cd65
hex1072bcaaa5c

1130311101020 has 48 divisors (see below), whose sum is σ = 2474482542336. Its totient is φ = 433207680000.

The previous prime is 1130311101019. The next prime is 1130311101077. The reversal of 1130311101020 is 201011130311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1130311100986 and 1130311101004.

It is a congruent number.

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, 8962541 + ... + 9087780.

It is an arithmetic number, because the mean of its divisors is an integer number (51551719632).

Almost surely, 21130311101020 is an apocalyptic number.

1130311101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130311101020 is an abundant number, since it is smaller than the sum of its proper divisors (1344171441316).

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

1130311101020 is a wasteful number, since it uses less digits than its factorization.

1130311101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18050462 (or 18050460 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1130311101020 its reverse (201011130311), we get a palindrome (1331322231331).

The spelling of 1130311101020 in words is "one trillion, one hundred thirty billion, three hundred eleven million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 1010 2020 3131 6262 12524 15655 31310 62620 18050321 36100642 72201284 90251605 180503210 361006420 559559951 1119119902 1823082421 2238239804 2797799755 3646164842 5595599510 7292329684 9115412105 11191199020 18230824210 36461648420 56515555051 113031110102 226062220204 282577775255 565155550510 1130311101020