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1011023230320 = 2432547671094091
BaseRepresentation
bin11101011011001011010…
…11100011010101110000
310120122121221120112201200
432231211223203111300
5113031033421332240
62052242504331200
7133021045443525
oct16554553432560
93518557515650
101011023230320
1135a85528aaa4
12143b39773b00
1374453c67a2c
1436d1044314c
151b474393930
hexeb65ae3570

1011023230320 has 480 divisors, whose sum is σ = 3552505482240. Its totient is φ = 257483888640.

The previous prime is 1011023230303. The next prime is 1011023230379. The reversal of 1011023230320 is 230323201101.

1011023230320 is a `hidden beast` number, since 1 + 0 + 110 + 2 + 3 + 230 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1011023230293 and 1011023230302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247131475 + ... + 247135565.

It is an arithmetic number, because the mean of its divisors is an integer number (7401053088).

Almost surely, 21011023230320 is an apocalyptic number.

1011023230320 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 1011023230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776252741120).

1011023230320 is an abundant number, since it is smaller than the sum of its proper divisors (2541482251920).

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

1011023230320 is a wasteful number, since it uses less digits than its factorization.

1011023230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1011023230320 its reverse (230323201101), we get a palindrome (1241346431421).

The spelling of 1011023230320 in words is "one trillion, eleven billion, twenty-three million, two hundred thirty thousand, three hundred twenty".