Search a number
-
+
1020221001100 = 2252714423101051
BaseRepresentation
bin11101101100010011110…
…10010000110110001100
310121112100221210201020201
432312021322100312030
5113203403034013400
62100403312423244
7133465012266010
oct16661172206614
93545327721221
101020221001100
11363745181354
12145885b47b24
137528b6a1752
1437543c1a540
151b811ad906a
hexed89e90d8c

1020221001100 has 72 divisors (see below), whose sum is σ = 2530348547328. Its totient is φ = 349762344000.

The previous prime is 1020221001049. The next prime is 1020221001119. The reversal of 1020221001100 is 11001220201.

1020221001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10045575 + ... + 10146625.

It is an arithmetic number, because the mean of its divisors is an integer number (35143729824).

Almost surely, 21020221001100 is an apocalyptic number.

1020221001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020221001100 is an abundant number, since it is smaller than the sum of its proper divisors (1510127546228).

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

1020221001100 is a wasteful number, since it uses less digits than its factorization.

1020221001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115495 (or 115488 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020221001100 its reverse (11001220201), we get a palindrome (1031222221301).

The spelling of 1020221001100 in words is "one trillion, twenty billion, two hundred twenty-one million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 14423 28846 57692 72115 100961 101051 144230 201922 202102 288460 360575 403844 404204 504805 505255 707357 721150 1009610 1010510 1414714 1442300 2019220 2021020 2524025 2526275 2829428 3536785 5048050 5052550 7073570 10096100 10105100 14147140 17683925 35367850 70735700 1457458573 2914917146 5829834292 7287292865 10202210011 14574585730 20404420022 29149171460 36436464325 40808840044 51011050055 72872928650 102022100110 145745857300 204044200220 255055250275 510110500550 1020221001100