Search a number
-
+
1023103132320 = 253519373300757
BaseRepresentation
bin11101110001101011011…
…00101110001010100000
310121210210211001011000110
432320311230232022200
5113230303400213240
62102001310451320
7133626310064643
oct16706554561240
93553724034013
101023103132320
11364994056185
1214634b203b40
137562a827139
14377388dda5a
151b92eb48c80
hexee35b2e2a0

1023103132320 has 192 divisors, whose sum is σ = 3401500798080. Its totient is φ = 257774358528.

The previous prime is 1023103132313. The next prime is 1023103132367. The reversal of 1023103132320 is 232313013201.

1023103132320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3251382 + ... + 3552138.

It is an arithmetic number, because the mean of its divisors is an integer number (17716149990).

Almost surely, 21023103132320 is an apocalyptic number.

1023103132320 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 1023103132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700750399040).

1023103132320 is an abundant number, since it is smaller than the sum of its proper divisors (2378397665760).

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

1023103132320 is a wasteful number, since it uses less digits than its factorization.

1023103132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301167 (or 301159 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1023103132320 its reverse (232313013201), we get a palindrome (1255416145521).

The spelling of 1023103132320 in words is "one trillion, twenty-three billion, one hundred three million, one hundred thirty-two thousand, three hundred twenty".