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123233123221131 = 37112247719579283
BaseRepresentation
bin11100000001010001110010…
…100010001011111010001011
3121011022222020020111222012210
4130001101302202023322023
5112123022414021034011
61114032303144040203
734646204450135130
oct3401216242137213
9534288206458183
10123233123221131
11362a1968417400
12119a34a3763063
13539baab709471
14226072d1b2587
15e3a89a22b6a6
hex70147288be8b

123233123221131 has 48 divisors (see below), whose sum is σ = 206490334240512. Its totient is φ = 63991358946240.

The previous prime is 123233123221127. The next prime is 123233123221207. The reversal of 123233123221131 is 131122321332321.

It is a happy number.

It is not a de Polignac number, because 123233123221131 - 22 = 123233123221127 is a prime.

It is a super-2 number, since 2×1232331232211312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123233123221931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3495585 + ... + 16083698.

It is an arithmetic number, because the mean of its divisors is an integer number (4301881963344).

Almost surely, 2123233123221131 is an apocalyptic number.

123233123221131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123233123221131 is a deficient number, since it is larger than the sum of its proper divisors (83257211019381).

123233123221131 is a wasteful number, since it uses less digits than its factorization.

123233123221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19581792 (or 19581781 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 123233123221131 its reverse (131122321332321), we get a palindrome (254355444553452).

The spelling of 123233123221131 in words is "one hundred twenty-three trillion, two hundred thirty-three billion, one hundred twenty-three million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 2477 2541 7431 17339 27247 52017 81741 190729 299717 572187 899151 2098019 6294057 19579283 58737849 137054981 215372113 411164943 646116339 1507604791 2369093243 4522814373 7107279729 16583652701 48497883991 49750958103 145493651973 339485187937 533476723901 1018455563811 1600430171703 3734337067307 5868243962911 11203011201921 17604731888733 41077707740377 123233123221131