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103003120010 = 2572210210449
BaseRepresentation
bin101111111101101110…
…1101110000110001010
3100211212110112122102202
41133323131232012022
53141422244320020
6115152522200202
710304341034300
oct1377335560612
9324773478382
10103003120010
113a75763766a
1217b67653062
139936a4712b
144db1c3a270
152a2cbe7e75
hex17fb76e18a

103003120010 has 24 divisors (see below), whose sum is σ = 215675921700. Its totient is φ = 35315355264.

The previous prime is 103003120009. The next prime is 103003120027. The reversal of 103003120010 is 10021300301.

It can be written as a sum of positive squares in 2 ways, for example, as 101625151369 + 1377968641 = 318787^2 + 37121^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103003119973 and 103003120000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105104735 + ... + 105105714.

Almost surely, 2103003120010 is an apocalyptic number.

103003120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103003120010 is an abundant number, since it is smaller than the sum of its proper divisors (112672801690).

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

103003120010 is a wasteful number, since it uses less digits than its factorization.

103003120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210210470 (or 210210463 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 103003120010 its reverse (10021300301), we get a palindrome (113024420311).

The spelling of 103003120010 in words is "one hundred three billion, three million, one hundred twenty thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 210210449 420420898 1051052245 1471473143 2102104490 2942946286 7357365715 10300312001 14714731430 20600624002 51501560005 103003120010