Search a number
-
+
10021032300020 = 225771578802143
BaseRepresentation
bin1001000111010011010000…
…0100100000110111110100
31022111000000222012210111012
42101310310010200313310
52303141033232100040
633151333152131352
72052665344060250
oct221646404406764
938430028183435
1010021032300020
113213994538355
12115a187536b58
13578c9666c171
1426904056d260
15125a0b620865
hex91d34120df4

10021032300020 has 24 divisors (see below), whose sum is σ = 24050477520384. Its totient is φ = 3435782502816.

The previous prime is 10021032300017. The next prime is 10021032300047. The reversal of 10021032300020 is 2000323012001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10021032299968 and 10021032300004.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35789400932 + ... + 35789401211.

It is an arithmetic number, because the mean of its divisors is an integer number (1002103230016).

Almost surely, 210021032300020 is an apocalyptic number.

10021032300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021032300020 is an abundant number, since it is smaller than the sum of its proper divisors (14029445220364).

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

10021032300020 is a wasteful number, since it uses less digits than its factorization.

10021032300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71578802159 (or 71578802157 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10021032300020 its reverse (2000323012001), we get a palindrome (12021355312021).

The spelling of 10021032300020 in words is "ten trillion, twenty-one billion, thirty-two million, three hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 71578802143 143157604286 286315208572 357894010715 501051615001 715788021430 1002103230002 1431576042860 2004206460004 2505258075005 5010516150010 10021032300020