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103233123213231 = 31130371030054811
BaseRepresentation
bin10111011110001111010101…
…101000110101111110101111
3111112111222201212001001201110
4113132033111220311332233
5102012332414020310411
61003320350405443103
730513230013051204
oct2736172550657657
9445458655031643
10103233123213231
112a990a15854440
12b6b3330110493
13457aac3421c6b
141b6c71cd51cab
15be04e53932a6
hex5de3d5a35faf

103233123213231 has 16 divisors (see below), whose sum is σ = 150206712905088. Its totient is φ = 62544928063200.

The previous prime is 103233123213197. The next prime is 103233123213263. The reversal of 103233123213231 is 132312321332301.

It is not a de Polignac number, because 103233123213231 - 227 = 103232988995503 is a prime.

It is a super-2 number, since 2×1032331232132312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103233113213231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514927185 + ... + 515127626.

It is an arithmetic number, because the mean of its divisors is an integer number (9387919556568).

Almost surely, 2103233123213231 is an apocalyptic number.

103233123213231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103233123213231 is a deficient number, since it is larger than the sum of its proper divisors (46973589691857).

103233123213231 is a wasteful number, since it uses less digits than its factorization.

103233123213231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030057862.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 103233123213231 its reverse (132312321332301), we get a palindrome (235545444545532).

The spelling of 103233123213231 in words is "one hundred three trillion, two hundred thirty-three billion, one hundred twenty-three million, two hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 11 33 3037 9111 33407 100221 1030054811 3090164433 11330602921 33991808763 3128276461007 9384829383021 34411041071077 103233123213231