Search a number
-
+
1022003020000 = 255489574159
BaseRepresentation
bin11101101111101000010…
…00001000000011100000
310121200222010222122121201
432313310020020003200
5113221030233120000
62101300211330544
7133560121223254
oct16676410100340
93550863878551
101022003020000
1136447a074546
121460a28b0a54
13754b39372c1
1437672772264
151b8b828e96a
hexedf42080e0

1022003020000 has 120 divisors (see below), whose sum is σ = 2542535503200. Its totient is φ = 404207232000.

The previous prime is 1022003019949. The next prime is 1022003020013. The reversal of 1022003020000 is 203002201.

It is a super-3 number, since 3×10220030200003 (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

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, 1492921 + ... + 2067079.

It is an arithmetic number, because the mean of its divisors is an integer number (21187795860).

Almost surely, 21022003020000 is an apocalyptic number.

1022003020000 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 1022003020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271267751600).

1022003020000 is an abundant number, since it is smaller than the sum of its proper divisors (1520532483200).

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

1022003020000 is an frugal number, since it uses more digits than its factorization.

1022003020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574278 (or 574255 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 1022003020000 its reverse (203002201), we get a palindrome (1022206022201).

The spelling of 1022003020000 in words is "one trillion, twenty-two billion, three million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 200 250 356 400 445 500 625 712 800 890 1000 1250 1424 1780 2000 2225 2500 2848 3560 4000 4450 5000 7120 8900 10000 11125 14240 17800 20000 22250 35600 44500 55625 71200 89000 111250 178000 222500 356000 445000 574159 890000 1148318 1780000 2296636 2870795 4593272 5741590 9186544 11483180 14353975 18373088 22966360 28707950 45932720 51100151 57415900 71769875 91865440 102200302 114831800 143539750 204400604 229663600 255500755 287079500 358849375 408801208 459327200 511001510 574159000 717698750 817602416 1022003020 1148318000 1277503775 1435397500 1635204832 2044006040 2296636000 2555007550 2870795000 4088012080 5110015100 5741590000 6387518875 8176024160 10220030200 11483180000 12775037750 20440060400 25550075500 31937594375 40880120800 51100151000 63875188750 102200302000 127750377500 204400604000 255500755000 511001510000 1022003020000