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223102132123 = 13235367210127
BaseRepresentation
bin1100111111000111101…
…1000101111110011011
3210022212101000121000111
43033301323011332123
512123403121211443
6250254112545151
722055451555613
oct3176173057633
9708771017014
10223102132123
1186687378a82
12372a45521b7
13180665ba440
14ab26397a43
155c0b70a69d
hex33f1ec5f9b

223102132123 has 32 divisors (see below), whose sum is σ = 259254245376. Its totient is φ = 190384242048.

The previous prime is 223102132117. The next prime is 223102132133. The reversal of 223102132123 is 321231201322.

It is not a de Polignac number, because 223102132123 - 25 = 223102132091 is a prime.

It is a super-3 number, since 3×2231021321233 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223102132094 and 223102132103.

It is not an unprimeable number, because it can be changed into a prime (223102132133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 956686 + ... + 1166812.

It is an arithmetic number, because the mean of its divisors is an integer number (8101695168).

Almost surely, 2223102132123 is an apocalyptic number.

223102132123 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

223102132123 is a deficient number, since it is larger than the sum of its proper divisors (36152113253).

223102132123 is a wasteful number, since it uses less digits than its factorization.

223102132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210283.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 223102132123 its reverse (321231201322), we get a palindrome (544333333445).

The spelling of 223102132123 in words is "two hundred twenty-three billion, one hundred two million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 13 23 53 67 299 689 871 1219 1541 3551 15847 20033 46163 81673 210127 1061749 2731651 4832921 11136731 14078509 62827973 144777503 183020617 256144813 323805707 746160977 3329882569 4209474191 9700092701 17161702471 223102132123