Search a number
-
+
103110022032000 = 273534745704797
BaseRepresentation
bin10111011100011100101100…
…001111000110101010000000
3111112002012222201110010022220
4113130130230033012222000
5102003323311120011000
61003144031252131040
730501311316221124
oct2734345417065200
9445065881403286
10103110022032000
112a943795400a25
12b6934b5906a80
13456c3058b8019
141b667a1bc5584
15bdc1dd00e1a0
hex5dc72c3c6a80

103110022032000 has 256 divisors, whose sum is σ = 349082277972480. Its totient is φ = 26910983884800.

The previous prime is 103110022031957. The next prime is 103110022032001. The reversal of 103110022032000 is 230220011301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (103110022032001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20596399 + ... + 25108398.

It is an arithmetic number, because the mean of its divisors is an integer number (1363602648330).

Almost surely, 2103110022032000 is an apocalyptic number.

103110022032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103110022032000 is an abundant number, since it is smaller than the sum of its proper divisors (245972255940480).

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

103110022032000 is an equidigital number, since it uses as much as digits as its factorization.

103110022032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45704876 (or 45704854 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103110022032000 its reverse (230220011301), we get a palindrome (103340242043301).

The spelling of 103110022032000 in words is "one hundred three trillion, one hundred ten billion, twenty-two million, thirty-two thousand".