Search a number
-
+
10321333202000 = 24535160666601
BaseRepresentation
bin1001011000110001111101…
…1001100010110001010000
31100112201011110100020011002
42112030133121202301100
52323101042244431000
633541315514441132
72113456154450102
oct226143731426120
940481143306132
1010321333202000
11331a286574777
1211a84157331a8
1359b3b3923282
142797ab63b572
1512d73541a8d5
hex9631f662c50

10321333202000 has 40 divisors (see below), whose sum is σ = 24956983687272. Its totient is φ = 4128533280000.

The previous prime is 10321333201967. The next prime is 10321333202003. The reversal of 10321333202000 is 20233312301.

It can be written as a sum of positive squares in 4 ways, for example, as 301879918096 + 10019453283904 = 549436^2 + 3165352^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321333202003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2580331301 + ... + 2580335300.

Almost surely, 210321333202000 is an apocalyptic number.

10321333202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10321333202000 is an abundant number, since it is smaller than the sum of its proper divisors (14635650485272).

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

10321333202000 is an equidigital number, since it uses as much as digits as its factorization.

10321333202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160666624 (or 5160666608 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10321333202000 its reverse (20233312301), we get a palindrome (10341566514301).

The spelling of 10321333202000 in words is "ten trillion, three hundred twenty-one billion, three hundred thirty-three million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5160666601 10321333202 20642666404 25803333005 41285332808 51606666010 82570665616 103213332020 129016665025 206426664040 258033330050 412853328080 516066660100 645083325125 1032133320200 1290166650250 2064266640400 2580333300500 5160666601000 10321333202000