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103506225251 = 11131543469099
BaseRepresentation
bin110000001100101110…
…0111010100001100011
3100220011112020001002012
41200121130322201203
53143440043202001
6115314453343135
710322660253362
oct1403134724143
9326145201065
10103506225251
113a995625020
1218088037aab
1399b7048740
14501c99d7d9
152a5be762bb
hex181973a863

103506225251 has 16 divisors (see below), whose sum is σ = 121680787200. Its totient is φ = 86801893920.

The previous prime is 103506225241. The next prime is 103506225293. The reversal of 103506225251 is 152522605301.

It is a cyclic number.

It is not a de Polignac number, because 103506225251 - 214 = 103506208867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103506225241) 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 15 ways as a sum of consecutive naturals, for example, 13901 + ... + 455198.

It is an arithmetic number, because the mean of its divisors is an integer number (7605049200).

Almost surely, 2103506225251 is an apocalyptic number.

103506225251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103506225251 is a deficient number, since it is larger than the sum of its proper divisors (18174561949).

103506225251 is a wasteful number, since it uses less digits than its factorization.

103506225251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470666.

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 103506225251 in words is "one hundred three billion, five hundred six million, two hundred twenty-five thousand, two hundred fifty-one".

Divisors: 1 11 13 143 1543 16973 20059 220649 469099 5160089 6098287 67081157 723819757 7962017327 9409656841 103506225251