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103048185240 = 23325711132312433
BaseRepresentation
bin101111111111000100…
…1101000010110011000
3100211222121100012022100
41133332021220112120
53142020313411430
6115201212123400
710305426056640
oct1377611502630
9324877305270
10103048185240
113a780017860
1217b7a766560
139943195350
144db7c0b520
152a31b4a960
hex17fe268598

103048185240 has 768 divisors, whose sum is σ = 469253191680. Its totient is φ = 18904596480.

The previous prime is 103048185239. The next prime is 103048185241. The reversal of 103048185240 is 42581840301.

103048185240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103048185239) and next prime (103048185241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103048185195 and 103048185204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103048185241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8282064 + ... + 8294496.

It is an arithmetic number, because the mean of its divisors is an integer number (611006760).

Almost surely, 2103048185240 is an apocalyptic number.

103048185240 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 103048185240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234626595840).

103048185240 is an abundant number, since it is smaller than the sum of its proper divisors (366205006440).

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

103048185240 is a wasteful number, since it uses less digits than its factorization.

103048185240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12504 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 103048185240 in words is "one hundred three billion, forty-eight million, one hundred eighty-five thousand, two hundred forty".