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103062420000 = 2532541015669
BaseRepresentation
bin101111111111011111…
…1111011101000100000
3100212000121010101201200
41133332333323220200
53142032434420000
6115202441201200
710305661054461
oct1377677735040
9325017111650
10103062420000
113a78805a621
1217b83490200
13994610a597
144db9a74d68
152a3300d500
hex17feffba20

103062420000 has 360 divisors, whose sum is σ = 369928819260. Its totient is φ = 27206400000.

The previous prime is 103062419989. The next prime is 103062420011. The reversal of 103062420000 is 24260301.

It is a happy number.

103062420000 is a `hidden beast` number, since 10 + 30 + 624 + 2 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103062419989) and next prime (103062420011).

It can be written as a sum of positive squares in 10 ways, for example, as 1655838864 + 101406581136 = 40692^2 + 318444^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18177166 + ... + 18182834.

Almost surely, 2103062420000 is an apocalyptic number.

103062420000 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 103062420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184964409630).

103062420000 is an abundant number, since it is smaller than the sum of its proper divisors (266866399260).

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

103062420000 is a wasteful number, since it uses less digits than its factorization.

103062420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103062420000 its reverse (24260301), we get a palindrome (103086680301).

The spelling of 103062420000 in words is "one hundred three billion, sixty-two million, four hundred twenty thousand".