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103083376356 = 2234178372
BaseRepresentation
bin110000000000000111…
…1110111111011100100
3100212002001120002110000
41200000033313323210
53142103321020411
6115204510301300
710306334145642
oct1400017677344
9325061502400
10103083376356
113a798973424
1217b8a4b7830
13994a5670ac
144dbc76c192
152a34c9c956
hex18003f7ee4

103083376356 has 45 divisors (see below), whose sum is σ = 269495416729. Its totient is φ = 34359199056.

The previous prime is 103083376351. The next prime is 103083376373. The reversal of 103083376356 is 653673380301.

The square root of 103083376356 is 321066.

It is a perfect power (a square), and thus also a powerful number.

103083376356 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 8 + 3 + 3 + 7 + 635 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88048692900 + 15034683456 = 296730^2 + 122616^2 .

It is a super-3 number, since 3×1030833763563 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103083376351) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5770270 + ... + 5788106.

Almost surely, 2103083376356 is an apocalyptic number.

103083376356 is the 321066-th square number.

It is an amenable number.

103083376356 is an abundant number, since it is smaller than the sum of its proper divisors (166412040373).

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

103083376356 is an frugal number, since it uses more digits than its factorization.

103083376356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35690 (or 17842 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 103083376356 in words is "one hundred three billion, eighty-three million, three hundred seventy-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 17837 35674 53511 71348 107022 160533 214044 321066 481599 642132 963198 1444797 1926396 2889594 5779188 318158569 636317138 954475707 1272634276 1908951414 2863427121 3817902828 5726854242 8590281363 11453708484 17180562726 25770844089 34361125452 51541688178 103083376356