Search a number
-
+
10333020000 = 25354172217
BaseRepresentation
bin10011001111110010…
…10101111101100000
3222200010101210200110
421213321111331200
5132130223120000
64425200251320
7514030135512
oct114771257540
928603353613
1010333020000
1144227a1956
122004610b40
13c889a9a24
1470048dbb2
15407240850
hex267e55f60

10333020000 has 120 divisors (see below), whose sum is σ = 33894569016. Its totient is φ = 2755456000.

The previous prime is 10333019999. The next prime is 10333020001. The reversal of 10333020000 is 2033301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10333019999) and next prime (10333020001).

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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26109 + ... + 146108.

Almost surely, 210333020000 is an apocalyptic number.

10333020000 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 10333020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16947284508).

10333020000 is an abundant number, since it is smaller than the sum of its proper divisors (23561549016).

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

10333020000 is an equidigital number, since it uses as much as digits as its factorization.

10333020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172250 (or 172227 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 10333020000 its reverse (2033301), we get a palindrome (10335053301).

The spelling of 10333020000 in words is "ten billion, three hundred thirty-three 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 20000 30000 60000 172217 344434 516651 688868 861085 1033302 1377736 1722170 2066604 2583255 2755472 3444340 4133208 4305425 5166510 5510944 6888680 8266416 8610850 10333020 12916275 13777360 16532832 17221700 20666040 21527125 25832550 27554720 34443400 41332080 43054250 51665100 64581375 68886800 82664160 86108500 103330200 107635625 129162750 137773600 172217000 206660400 215271250 258325500 322906875 344434000 413320800 430542500 516651000 645813750 688868000 861085000 1033302000 1291627500 1722170000 2066604000 2583255000 3444340000 5166510000 10333020000