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103158494208 = 210327211191093
BaseRepresentation
bin110000000010010111…
…0011011010000000000
3100212021021220110202200
41200010232123100000
53142232033303313
6115220152313200
710311235506300
oct1400456332000
9325237813680
10103158494208
113a82730a5a0
1217bab6a2800
13995cca8223
144dc8723600
152a3b689b73
hex1804b9b400

103158494208 has 792 divisors, whose sum is σ = 398258097120. Its totient is φ = 25360957440.

The previous prime is 103158494177. The next prime is 103158494209. The reversal of 103158494208 is 802494851301.

103158494208 is a `hidden beast` number, since 1 + 0 + 3 + 158 + 494 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-3 number, since 3×1031584942083 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103158494209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94380510 + ... + 94381602.

Almost surely, 2103158494208 is an apocalyptic number.

103158494208 is a gapful number since it is divisible by the number (18) 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 103158494208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199129048560).

103158494208 is an abundant number, since it is smaller than the sum of its proper divisors (295099602912).

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

103158494208 is a wasteful number, since it uses less digits than its factorization.

103158494208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 103158494208 in words is "one hundred three billion, one hundred fifty-eight million, four hundred ninety-four thousand, two hundred eight".