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350320110036 = 2231323109389329
BaseRepresentation
bin1010001100100001011…
…01001010100111010100
31020111020102002110210020
411012100231022213110
521214423422010121
6424533531425140
734211154542451
oct5062055124724
91214212073706
10350320110036
1112562a6297a6
1257a895b51b0
132705bcba950
1412d5419c828
1591a51d61c6
hex5190b4a9d4

350320110036 has 96 divisors (see below), whose sum is σ = 919415804160. Its totient is φ = 103008761856.

The previous prime is 350320110031. The next prime is 350320110139. The reversal of 350320110036 is 630011023053.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 350320109988 and 350320110015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350320110031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3877020 + ... + 3966348.

It is an arithmetic number, because the mean of its divisors is an integer number (9577247960).

Almost surely, 2350320110036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350320110036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459707902080).

350320110036 is an abundant number, since it is smaller than the sum of its proper divisors (569095694124).

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

350320110036 is a wasteful number, since it uses less digits than its factorization.

350320110036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90465 (or 90463 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 350320110036 its reverse (630011023053), we get a palindrome (980331133089).

The spelling of 350320110036 in words is "three hundred fifty billion, three hundred twenty million, one hundred ten thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1093 1196 1794 2186 3279 3588 4372 6558 13116 14209 25139 28418 42627 50278 56836 75417 85254 89329 100556 150834 170508 178658 267987 301668 326807 357316 535974 653614 980421 1071948 1161277 1307228 1960842 2054567 2322554 3483831 3921684 4109134 4645108 6163701 6967662 8218268 12327402 13935324 24654804 26709371 53418742 80128113 97636597 106837484 160256226 195273194 292909791 320512452 390546388 585819582 1171639164 1269275761 2245641731 2538551522 3807827283 4491283462 5077103044 6736925193 7615654566 8982566924 13473850386 15231309132 26947700772 29193342503 58386685006 87580027509 116773370012 175160055018 350320110036