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3350100012 = 2237225122699
BaseRepresentation
bin1100011110101110…
…0111100000101100
322122110210201021020
43013223213200230
523330111200022
61312232134140
7146006244300
oct30753474054
98573721236
103350100012
11146a0537a6
12795b37350
134150a40cc
1423acdbd00
1514919c35c
hexc7ae782c

3350100012 has 72 divisors (see below), whose sum is σ = 9129758400. Its totient is φ = 953316000.

The previous prime is 3350100011. The next prime is 3350100023. The reversal of 3350100012 is 2100010533.

It is a happy number.

It is a super-2 number, since 2×33501000122 = 22446340180804800288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3350099964 and 3350100000.

It is not an unprimeable number, because it can be changed into a prime (3350100011) 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 23 ways as a sum of consecutive naturals, for example, 136239 + ... + 158937.

It is an arithmetic number, because the mean of its divisors is an integer number (126802200).

Almost surely, 23350100012 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 3350100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564879200).

3350100012 is an abundant number, since it is smaller than the sum of its proper divisors (5779658388).

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

3350100012 is a wasteful number, since it uses less digits than its factorization.

3350100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22971 (or 22962 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3350100012 is about 57880.0484795927. The cubic root of 3350100012 is about 1496.3020035959.

Adding to 3350100012 its reverse (2100010533), we get a palindrome (5450110545).

The spelling of 3350100012 in words is "three billion, three hundred fifty million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 251 294 502 588 753 1004 1506 1757 3012 3514 5271 7028 10542 12299 21084 22699 24598 36897 45398 49196 68097 73794 90796 136194 147588 158893 272388 317786 476679 635572 953358 1112251 1906716 2224502 3336753 4449004 5697449 6673506 11394898 13347012 17092347 22789796 34184694 39882143 68369388 79764286 119646429 159528572 239292858 279175001 478585716 558350002 837525003 1116700004 1675050006 3350100012