Search a number
-
+
1001220111132 = 223476412769443
BaseRepresentation
bin11101001000111010101…
…11100111101100011100
310112201022202021111022020
432210131113213230130
5112400444322024012
62043542033420140
7132223111345233
oct16443527475434
93481282244266
101001220111132
113566847184aa
1214206270a650
1373550cb1ba7
14366604cdb1a
151b09d925a8c
hexe91d5e7b1c

1001220111132 has 48 divisors (see below), whose sum is σ = 2389609216512. Its totient is φ = 326129489920.

The previous prime is 1001220111131. The next prime is 1001220111149. The reversal of 1001220111132 is 2311110221001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001220111131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1023198 + ... + 1746245.

It is an arithmetic number, because the mean of its divisors is an integer number (49783525344).

Almost surely, 21001220111132 is an apocalyptic number.

1001220111132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001220111132 is an abundant number, since it is smaller than the sum of its proper divisors (1388389105380).

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

1001220111132 is a wasteful number, since it uses less digits than its factorization.

1001220111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770138 (or 2770136 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1001220111132 its reverse (2311110221001), we get a palindrome (3312330332133).

The spelling of 1001220111132 in words is "one trillion, one billion, two hundred twenty million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 641 1282 1923 2564 3846 7692 30127 60254 90381 120508 180762 361524 2769443 5538886 8308329 11077772 16616658 33233316 130163821 260327642 390491463 520655284 780982926 1561965852 1775212963 3550425926 5325638889 7100851852 10651277778 21302555556 83435009261 166870018522 250305027783 333740037044 500610055566 1001220111132