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10354030050 = 23527132193783
BaseRepresentation
bin10011010010010010…
…11111010111100010
3222201120221020001110
421221021133113202
5132201112430200
64431230444150
7514403542350
oct115111372742
928646836043
1010354030050
114433642031
12200b663656
13c90154b00
1470319c7d0
15408ee0b50
hex26925f5e2

10354030050 has 576 divisors, whose sum is σ = 34767774720. Its totient is φ = 1989411840.

The previous prime is 10354030033. The next prime is 10354030189. The reversal of 10354030050 is 5003045301.

It is a super-3 number, since 3×103540300503 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10354029999 and 10354030026.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 124747309 + ... + 124747391.

It is an arithmetic number, because the mean of its divisors is an integer number (60360720).

Almost surely, 210354030050 is an apocalyptic number.

10354030050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10354030050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17383887360).

10354030050 is an abundant number, since it is smaller than the sum of its proper divisors (24413744670).

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

10354030050 is a wasteful number, since it uses less digits than its factorization.

10354030050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

Adding to 10354030050 its reverse (5003045301), we get a palindrome (15357075351).

The spelling of 10354030050 in words is "ten billion, three hundred fifty-four million, thirty thousand, fifty".