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103312211123 = 11431311667321
BaseRepresentation
bin110000000110111100…
…0110011110010110011
3100212200000011002201202
41200031320303302303
53143040411223443
6115243323121415
710315113206462
oct1401570636263
9325600132652
10103312211123
113a8a6060370
121803307326b
139985aa8b94
145000cd89d9
152a49e007b8
hex180de33cb3

103312211123 has 16 divisors (see below), whose sum is σ = 116205674112. Its totient is φ = 91035672000.

The previous prime is 103312211099. The next prime is 103312211153. The reversal of 103312211123 is 321112213301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 103312211123 - 218 = 103311948979 is a prime.

It is a super-2 number, since 2×1033122111232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103312211095 and 103312211104.

It is not an unprimeable number, because it can be changed into a prime (103312211153) 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 15 ways as a sum of consecutive naturals, for example, 771698 + ... + 895623.

It is an arithmetic number, because the mean of its divisors is an integer number (7262854632).

Almost surely, 2103312211123 is an apocalyptic number.

103312211123 is a deficient number, since it is larger than the sum of its proper divisors (12893462989).

103312211123 is a wasteful number, since it uses less digits than its factorization.

103312211123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667506.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 103312211123 its reverse (321112213301), we get a palindrome (424424424424).

The spelling of 103312211123 in words is "one hundred three billion, three hundred twelve million, two hundred eleven thousand, one hundred twenty-three".

Divisors: 1 11 43 131 473 1441 5633 61963 1667321 18340531 71694803 218419051 788642833 2402609561 9392019193 103312211123