Search a number
-
+
30022232132000 = 255318893973297
BaseRepresentation
bin1101101001110000110000…
…11110110100100110100000
310221022002121222101002012102
412310320120132310212200
512413341012411211000
6143504004550545532
76216014620400453
oct664703036644640
9127262558332172
1030022232132000
1196253a23a6969
12344a6149682a8
13139a1133b8a44
1475b125cb549a
15370e319ac3d5
hex1b4e187b49a0

30022232132000 has 96 divisors (see below), whose sum is σ = 73803692486160. Its totient is φ = 12002532556800.

The previous prime is 30022232131987. The next prime is 30022232132047. The reversal of 30022232132000 is 23123222003.

It can be written as a sum of positive squares in 8 ways, for example, as 7288293699856 + 22733938432144 = 2699684^2 + 4768012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5569352 + ... + 9542648.

Almost surely, 230022232132000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30022232132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36901846243080).

30022232132000 is an abundant number, since it is smaller than the sum of its proper divisors (43781460354160).

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

30022232132000 is a wasteful number, since it uses less digits than its factorization.

30022232132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975211 (or 3975193 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30022232132000 its reverse (23123222003), we get a palindrome (30045355354003).

The spelling of 30022232132000 in words is "thirty trillion, twenty-two billion, two hundred thirty-two million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1889 2000 3778 4000 7556 9445 15112 18890 30224 37780 47225 60448 75560 94450 151120 188900 236125 302240 377800 472250 755600 944500 1511200 1889000 3778000 3973297 7556000 7946594 15893188 19866485 31786376 39732970 63572752 79465940 99332425 127145504 158931880 198664850 317863760 397329700 496662125 635727520 794659400 993324250 1589318800 1986648500 3178637600 3973297000 7505558033 7946594000 15011116066 15893188000 30022232132 37527790165 60044464264 75055580330 120088928528 150111160660 187638950825 240177857056 300222321320 375277901650 600444642640 750555803300 938194754125 1200889285280 1501111606600 1876389508250 3002223213200 3752779016500 6004446426400 7505558033000 15011116066000 30022232132000