Search a number
-
+
2032002020000 = 2554532319087
BaseRepresentation
bin11101100100011100110…
…000100011001010100000
321012020221201021220111002
4131210130300203022200
5231243020004120000
64153253331211132
7266543622120641
oct35443460431240
97166851256432
102032002020000
117138491910a7
12289995446aa8
13119803630094
14704c6b5b6c8
1537ccc7678d5
hex1d91cc232a0

2032002020000 has 120 divisors (see below), whose sum is σ = 5000230863936. Its totient is φ = 812605536000.

The previous prime is 2032002019969. The next prime is 2032002020057. The reversal of 2032002020000 is 202002302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106450457 + ... + 106469543.

Almost surely, 22032002020000 is an apocalyptic number.

2032002020000 is a gapful number since it is divisible by the number (20) 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 2032002020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500115431968).

2032002020000 is an abundant number, since it is smaller than the sum of its proper divisors (2968228843936).

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

2032002020000 is an equidigital number, since it uses as much as digits as its factorization.

2032002020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24440 (or 24417 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

Adding to 2032002020000 its reverse (202002302), we get a palindrome (2032204022302).

The spelling of 2032002020000 in words is "two trillion, thirty-two billion, two 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 4000 5000 5323 10000 10646 19087 20000 21292 26615 38174 42584 53230 76348 85168 95435 106460 133075 152696 170336 190870 212920 266150 305392 381740 425840 477175 532300 610784 665375 763480 851680 954350 1064600 1330750 1526960 1908700 2129200 2385875 2661500 3053920 3326875 3817400 4258400 4771750 5323000 6653750 7634800 9543500 10646000 11929375 13307500 15269600 19087000 21292000 23858750 26615000 38174000 47717500 53230000 76348000 95435000 101600101 106460000 190870000 203200202 381740000 406400404 508000505 812800808 1016001010 1625601616 2032002020 2540002525 3251203232 4064004040 5080005050 8128008080 10160010100 12700012625 16256016160 20320020200 25400025250 40640040400 50800050500 63500063125 81280080800 101600101000 127000126250 203200202000 254000252500 406400404000 508000505000 1016001010000 2032002020000