Search a number
-
+
103141998792 = 233272937318919
BaseRepresentation
bin110000000001110111…
…1100000000011001000
3100212020010212102022100
41200003233200003020
53142213322430132
6115214402553400
710310645344560
oct1400357400310
9325203772270
10103141998792
113a818a73318
1217ba6068860
139959751021
144dc646bda0
152a39ecc37c
hex1803be00c8

103141998792 has 192 divisors, whose sum is σ = 331160544000. Its totient is φ = 28375183872.

The previous prime is 103141998761. The next prime is 103141998857. The reversal of 103141998792 is 297899141301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5442309 + ... + 5461227.

It is an arithmetic number, because the mean of its divisors is an integer number (1724794500).

Almost surely, 2103141998792 is an apocalyptic number.

103141998792 is a gapful number since it is divisible by the number (12) 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 103141998792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165580272000).

103141998792 is an abundant number, since it is smaller than the sum of its proper divisors (228018545208).

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

103141998792 is a wasteful number, since it uses less digits than its factorization.

103141998792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19340 (or 19333 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 103141998792 in words is "one hundred three billion, one hundred forty-one million, nine hundred ninety-eight thousand, seven hundred ninety-two".