Search a number
-
+
1020221222112 = 25323542434799
BaseRepresentation
bin11101101100010011110…
…11000110110011100000
310121112100222012221102100
432312021323012303200
5113203403113101422
62100403321250400
7133465014206241
oct16661173066340
93545328187370
101020221222112
11363745312404
12145886033a00
137528b74b221
1437543c76cc8
151b811b2e7ac
hexed89ec6ce0

1020221222112 has 36 divisors (see below), whose sum is σ = 2901254101200. Its totient is φ = 340073740608.

The previous prime is 1020221222023. The next prime is 1020221222131. The reversal of 1020221222112 is 2112221220201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1771217112 + ... + 1771217687.

It is an arithmetic number, because the mean of its divisors is an integer number (80590391700).

Almost surely, 21020221222112 is an apocalyptic number.

1020221222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020221222112 is an abundant number, since it is smaller than the sum of its proper divisors (1881032879088).

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

1020221222112 is a wasteful number, since it uses less digits than its factorization.

1020221222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542434815 (or 3542434804 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1020221222112 its reverse (2112221220201), we get a palindrome (3132442442313).

The spelling of 1020221222112 in words is "one trillion, twenty billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3542434799 7084869598 10627304397 14169739196 21254608794 28339478392 31881913191 42509217588 56678956784 63763826382 85018435176 113357913568 127527652764 170036870352 255055305528 340073740704 510110611056 1020221222112