Search a number
-
+
1010022444320 = 255175946713477
BaseRepresentation
bin11101011001010100000…
…01110110110100100000
310120120001012102100102112
432230222001312310200
5113022011221204240
62051555314134452
7132654204060221
oct16545201666440
93516035370375
101010022444320
1135a39137a72a
121438ba581428
1374324813b76
1436c5756d248
151b4165a9665
hexeb2a076d20

1010022444320 has 192 divisors, whose sum is σ = 2575057080960. Its totient is φ = 372970831872.

The previous prime is 1010022444271. The next prime is 1010022444331. The reversal of 1010022444320 is 234442200101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74937422 + ... + 74950898.

It is an arithmetic number, because the mean of its divisors is an integer number (13411755630).

Almost surely, 21010022444320 is an apocalyptic number.

1010022444320 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 1010022444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287528540480).

1010022444320 is an abundant number, since it is smaller than the sum of its proper divisors (1565034636640).

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

1010022444320 is a wasteful number, since it uses less digits than its factorization.

1010022444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14035 (or 14027 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1010022444320 its reverse (234442200101), we get a palindrome (1244464644421).

The spelling of 1010022444320 in words is "one trillion, ten billion, twenty-two million, four hundred forty-four thousand, three hundred twenty".