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103330123002 = 2328964500701
BaseRepresentation
bin110000000111011110…
…1001000110011111010
3100212201020212010012200
41200032331020303322
53143110002414002
6115245203051030
710315421360631
oct1401675106372
9325636763180
10103330123002
113a905184877
1218039070a76
13998970aa22
14500343c518
152a4b78cb1c
hex180ef48cfa

103330123002 has 24 divisors (see below), whose sum is σ = 226397464020. Its totient is φ = 34056369600.

The previous prime is 103330122997. The next prime is 103330123009. The reversal of 103330123002 is 200321033301.

103330123002 is a `hidden beast` number, since 103 + 330 + 1 + 230 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77902950321 + 25427172681 = 279111^2 + 159459^2 .

It is a super-2 number, since 2×1033301230022 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103330123009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32248749 + ... + 32251952.

Almost surely, 2103330123002 is an apocalyptic number.

103330123002 is an abundant number, since it is smaller than the sum of its proper divisors (123067341018).

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

103330123002 is a wasteful number, since it uses less digits than its factorization.

103330123002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64500798 (or 64500795 counting only the distinct ones).

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

Adding to 103330123002 its reverse (200321033301), we get a palindrome (303651156303).

The spelling of 103330123002 in words is "one hundred three billion, three hundred thirty million, one hundred twenty-three thousand, two".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 64500701 129001402 193502103 387004206 580506309 1161012618 5740562389 11481124778 17221687167 34443374334 51665061501 103330123002