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103211431101 = 32175351126067
BaseRepresentation
bin110000000011111100…
…0010111010010111101
3100212101222111221112100
41200013320113102331
53142334111243401
6115225323055313
710312450455252
oct1400770272275
9325358457470
10103211431101
113a854186899
1218005371539
13996ac5132c
144dd1783429
152a41144b86
hex1807e174bd

103211431101 has 24 divisors (see below), whose sum is σ = 157883529024. Its totient is φ = 64747497600.

The previous prime is 103211431079. The next prime is 103211431123. The reversal of 103211431101 is 101134112301.

It is a happy number.

103211431101 is a `hidden beast` number, since 10 + 3 + 211 + 431 + 10 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (103211431079) and next prime (103211431123).

It is not a de Polignac number, because 103211431101 - 229 = 102674560189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103211431151) 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 23 ways as a sum of consecutive naturals, for example, 755670 + ... + 881736.

It is an arithmetic number, because the mean of its divisors is an integer number (6578480376).

Almost surely, 2103211431101 is an apocalyptic number.

It is an amenable number.

103211431101 is a deficient number, since it is larger than the sum of its proper divisors (54672097923).

103211431101 is a wasteful number, since it uses less digits than its factorization.

103211431101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131441 (or 131438 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103211431101 its reverse (101134112301), we get a palindrome (204345543402).

The spelling of 103211431101 in words is "one hundred three billion, two hundred eleven million, four hundred thirty-one thousand, one hundred one".

Divisors: 1 3 9 17 51 153 5351 16053 48159 90967 126067 272901 378201 818703 1134603 2143139 6429417 19288251 674584517 2023753551 6071260653 11467936789 34403810367 103211431101