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1020221001012 = 223103123824437
BaseRepresentation
bin11101101100010011110…
…10010000110100110100
310121112100221210201010110
432312021322100310310
5113203403034013022
62100403312423020
7133465012265523
oct16661172206464
93545327721113
101020221001012
11363745181284
12145885b47a70
137528b6a16b5
1437543c1a4ba
151b811ad900c
hexed89e90d34

1020221001012 has 24 divisors (see below), whose sum is σ = 2380541640736. Its totient is φ = 340069956768.

The previous prime is 1020221000989. The next prime is 1020221001017. The reversal of 1020221001012 is 2101001220201.

1020221001012 is digitally balanced in base 2 and base 4, because in such bases 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020221001017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825258 + ... + 1649694.

Almost surely, 21020221001012 is an apocalyptic number.

1020221001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020221001012 is an abundant number, since it is smaller than the sum of its proper divisors (1360320639724).

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

1020221001012 is a wasteful number, since it uses less digits than its factorization.

1020221001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927567 (or 927565 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020221001012 its reverse (2101001220201), we get a palindrome (3121222221213).

The spelling of 1020221001012 in words is "one trillion, twenty billion, two hundred twenty-one million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 103123 206246 309369 412492 618738 824437 1237476 1648874 2473311 3297748 4946622 9893244 85018416751 170036833502 255055250253 340073667004 510110500506 1020221001012