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103354114240 = 2651367601617
BaseRepresentation
bin110000001000001100…
…0101010000011000000
3100212202221000000000001
41200100120222003000
53143132123123430
6115251421205344
710316132322136
oct1402030520300
9325687000001
10103354114240
113a917780843
1218045100854
13999168aa20
1450066c5756
152a4d92b3ca
hex181062a0c0

103354114240 has 224 divisors, whose sum is σ = 269883843264. Its totient is φ = 37468569600.

The previous prime is 103354114223. The next prime is 103354114261. The reversal of 103354114240 is 42411453301.

It is a junction number, because it is equal to n+sod(n) for n = 103354114199 and 103354114208.

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, 167510412 + ... + 167511028.

It is an arithmetic number, because the mean of its divisors is an integer number (1204838586).

Almost surely, 2103354114240 is an apocalyptic number.

103354114240 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 103354114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134941921632).

103354114240 is an abundant number, since it is smaller than the sum of its proper divisors (166529729024).

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

103354114240 is a wasteful number, since it uses less digits than its factorization.

103354114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 103354114240 its reverse (42411453301), we get a palindrome (145765567541).

The spelling of 103354114240 in words is "one hundred three billion, three hundred fifty-four million, one hundred fourteen thousand, two hundred forty".