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103101141 = 311131767211
BaseRepresentation
bin1100010010100…
…11001011010101
321012000002011210
412021103023111
5202343214031
614121452033
72361226263
oct611231325
9235002153
10103101141
115321a460
122a641019
131848b1c0
14d99b433
1590b8746
hex62532d5

103101141 has 64 divisors (see below), whose sum is σ = 174375936. Its totient is φ = 53222400.

The previous prime is 103101121. The next prime is 103101161. The reversal of 103101141 is 141101301.

103101141 = T450 + T451 + ... + T891.

It is an interprime number because it is at equal distance from previous prime (103101121) and next prime (103101161).

It is not a de Polignac number, because 103101141 - 25 = 103101109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 488526 + ... + 488736.

It is an arithmetic number, because the mean of its divisors is an integer number (2724624).

Almost surely, 2103101141 is an apocalyptic number.

103101141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103101141 is a deficient number, since it is larger than the sum of its proper divisors (71274795).

103101141 is a wasteful number, since it uses less digits than its factorization.

103101141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 103101141 is about 10153.8732018871. The cubic root of 103101141 is about 468.9081960630.

Adding to 103101141 its reverse (141101301), we get a palindrome (244202442).

The spelling of 103101141 in words is "one hundred three million, one hundred one thousand, one hundred forty-one".

Divisors: 1 3 11 13 17 33 39 51 67 143 187 201 211 221 429 561 633 663 737 871 1139 2211 2321 2431 2613 2743 3417 3587 6963 7293 8229 9581 10761 12529 14137 14807 28743 30173 37587 39457 42411 44421 46631 90519 118371 139893 155507 162877 183781 240329 466521 488631 512941 551343 720987 1538823 2021591 2643619 3124277 6064773 7930857 9372831 34367047 103101141