Search a number
-
+
1102020000 = 2535418367
BaseRepresentation
bin100000110101111…
…0111110110100000
32211210122102020120
41001223313312200
54224104120000
6301204040240
736211005204
oct10153676640
92753572216
101102020000
11516074a34
12269093080
1314740a253
14a6506b04
1566b346a0
hex41af7da0

1102020000 has 120 divisors (see below), whose sum is σ = 3615042816. Its totient is φ = 293856000.

The previous prime is 1102019987. The next prime is 1102020013. The reversal of 1102020000 is 202011.

It is a happy number.

1102020000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1102019987) and next prime (1102020013).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 50817 + ... + 69183.

Almost surely, 21102020000 is an apocalyptic number.

1102020000 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 1102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807521408).

1102020000 is an abundant number, since it is smaller than the sum of its proper divisors (2513022816).

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

1102020000 is an equidigital number, since it uses as much as digits as its factorization.

1102020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18400 (or 18377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1102020000 is about 33196.6865816455. The cubic root of 1102020000 is about 1032.9116096185.

Adding to 1102020000 its reverse (202011), we get a palindrome (1102222011).

The spelling of 1102020000 in words is "one billion, one hundred two million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 18367 20000 30000 36734 55101 60000 73468 91835 110202 146936 183670 220404 275505 293872 367340 440808 459175 551010 587744 734680 881616 918350 1102020 1377525 1469360 1763232 1836700 2204040 2295875 2755050 2938720 3673400 4408080 4591750 5510100 6887625 7346800 8816160 9183500 11020200 11479375 13775250 14693600 18367000 22040400 22958750 27550500 34438125 36734000 44080800 45917500 55101000 68876250 73468000 91835000 110202000 137752500 183670000 220404000 275505000 367340000 551010000 1102020000