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106334456250 = 2355113116631
BaseRepresentation
bin110001100001000000…
…1110000100110111010
3101011110122001001122110
41203002001300212322
53220233110100000
6120503244233150
710453031651661
oct1430201604672
9334418031573
10106334456250
1141107034910
121873723b7b6
13a047c7b6c9
14520a451dd8
152b753da850
hex18c20709ba

106334456250 has 192 divisors, whose sum is σ = 299356839936. Its totient is φ = 24945000000.

The previous prime is 106334456237. The next prime is 106334456297. The reversal of 106334456250 is 52654433601.

It is a super-2 number, since 2×1063344562502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106334456199 and 106334456208.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6385435 + ... + 6402065.

It is an arithmetic number, because the mean of its divisors is an integer number (1559150208).

Almost surely, 2106334456250 is an apocalyptic number.

106334456250 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 106334456250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149678419968).

106334456250 is an abundant number, since it is smaller than the sum of its proper divisors (193022383686).

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

106334456250 is a wasteful number, since it uses less digits than its factorization.

106334456250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16703 (or 16683 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 106334456250 its reverse (52654433601), we get a palindrome (158988889851).

The spelling of 106334456250 in words is "one hundred six billion, three hundred thirty-four million, four hundred fifty-six thousand, two hundred fifty".