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103033312002 = 232101120147189
BaseRepresentation
bin101111111110101000…
…0111001001100000010
3100211221120100120001200
41133331100321030002
53142003011441002
6115155521242030
710305155462505
oct1377520711402
9324846316050
10103033312002
113a772689325
1217b75793316
13994008860a
144db5c5913c
152a306adb1c
hex17fd439302

103033312002 has 48 divisors (see below), whose sum is σ = 225641627640. Its totient is φ = 33975360000.

The previous prime is 103033311961. The next prime is 103033312061. The reversal of 103033312002 is 200213330301.

103033312002 is a `hidden beast` number, since 10 + 303 + 331 + 20 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101423777841 + 1609534161 = 318471^2 + 40119^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2159824 + ... + 2207012.

Almost surely, 2103033312002 is an apocalyptic number.

103033312002 is an abundant number, since it is smaller than the sum of its proper divisors (122608315638).

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

103033312002 is a wasteful number, since it uses less digits than its factorization.

103033312002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48499 (or 48496 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103033312002 its reverse (200213330301), we get a palindrome (303246642303).

The spelling of 103033312002 in words is "one hundred three billion, thirty-three million, three hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1201 1818 2402 3603 7206 10809 21618 47189 94378 121301 141567 242602 283134 363903 424701 727806 849402 1091709 2183418 4766089 9532178 14298267 28596534 42894801 56673989 85789602 113347978 170021967 340043934 510065901 1020131802 5724072889 11448145778 17172218667 34344437334 51516656001 103033312002