Search a number
-
+
1000220020000 = 2554373313397
BaseRepresentation
bin11101000111000011100…
…00100100110100100000
310112121202001102121011221
432203201300210310200
5112341422311120000
62043254510144424
7132156245614525
oct16434160446440
93477661377157
101000220020000
11356211142203
12141a237b2114
1373421a423a6
14365a775b14c
151b040c2761a
hexe8e1c24d20

1000220020000 has 120 divisors (see below), whose sum is σ = 2461534178796. Its totient is φ = 399950976000.

The previous prime is 1000220019991. The next prime is 1000220020013. The reversal of 1000220020000 is 200220001.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 282560286096 + 717659733904 = 531564^2 + 847148^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74653302 + ... + 74666698.

Almost surely, 21000220020000 is an apocalyptic number.

1000220020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000220020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230767089398).

1000220020000 is an abundant number, since it is smaller than the sum of its proper divisors (1461314158796).

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

1000220020000 is an equidigital number, since it uses as much as digits as its factorization.

1000220020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17160 (or 17137 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 1000220020000 its reverse (200220001), we get a palindrome (1000420240001).

The spelling of 1000220020000 in words is "one trillion, two hundred twenty million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3733 4000 5000 7466 10000 13397 14932 18665 20000 26794 29864 37330 53588 59728 66985 74660 93325 107176 119456 133970 149320 186650 214352 267940 298640 334925 373300 428704 466625 535880 597280 669850 746600 933250 1071760 1339700 1493200 1674625 1866500 2143520 2333125 2679400 2986400 3349250 3733000 4666250 5358800 6698500 7466000 8373125 9332500 10717600 13397000 14932000 16746250 18665000 26794000 33492500 37330000 50011001 53588000 66985000 74660000 100022002 133970000 200044004 250055005 267940000 400088008 500110010 800176016 1000220020 1250275025 1600352032 2000440040 2500550050 4000880080 5001100100 6251375125 8001760160 10002200200 12502750250 20004400400 25005500500 31256875625 40008800800 50011001000 62513751250 100022002000 125027502500 200044004000 250055005000 500110010000 1000220020000