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2241320103 = 3211173735993
BaseRepresentation
bin1000010110010111…
…1101010010100111
312210012102212011200
42011211331102213
514042234220403
61010223133543
7106353622641
oct20545752247
95705385150
102241320103
11a50191a70
125267442b3
1329946b019
14173955891
15d1b7eca3
hex8597d4a7

2241320103 has 48 divisors (see below), whose sum is σ = 3840703776. Its totient is φ = 1243883520.

The previous prime is 2241320101. The next prime is 2241320117. The reversal of 2241320103 is 3010231422.

2241320103 is a `hidden beast` number, since 2 + 241 + 320 + 103 = 666.

It is not a de Polignac number, because 2241320103 - 21 = 2241320101 is a prime.

It is a super-2 number, since 2×22413201032 = 10047031608223861218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241320101) 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 47 ways as a sum of consecutive naturals, for example, 44275 + ... + 80267.

It is an arithmetic number, because the mean of its divisors is an integer number (80014662).

Almost surely, 22241320103 is an apocalyptic number.

2241320103 is a deficient number, since it is larger than the sum of its proper divisors (1599383673).

2241320103 is a wasteful number, since it uses less digits than its factorization.

2241320103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36064 (or 36061 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2241320103 is about 47342.5823440167. The cubic root of 2241320103 is about 1308.6835060072.

Adding to 2241320103 its reverse (3010231422), we get a palindrome (5251551525).

The spelling of 2241320103 in words is "two billion, two hundred forty-one million, three hundred twenty thousand, one hundred three".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 333 407 561 629 1221 1683 1887 3663 5661 6919 20757 35993 62271 107979 323937 395923 611881 1187769 1331741 1835643 3563307 3995223 5506929 6730691 11985669 14649151 20192073 22639597 43947453 60576219 67918791 131842359 203756373 249035567 747106701 2241320103