Search a number
-
+
123233332012100 = 225213926773311807
BaseRepresentation
bin11100000001010001111110…
…111110101010010001000100
3121011022222202210101122120122
4130001101332332222101010
5112123023330443341400
61114032340003121112
734646212563625142
oct3401217676522104
9534288683348518
10123233332012100
11362a1a65264122
12119a3541673198
13539bb12a50c0b
14226074cc02592
15e3a8ad720685
hex70147efaa444

123233332012100 has 72 divisors (see below), whose sum is σ = 269440883013120. Its totient is φ = 48920408565120.

The previous prime is 123233332012097. The next prime is 123233332012121. The reversal of 123233332012100 is 1210233332321.

It is a self number, because there is not a number n which added to its sum of digits gives 123233332012100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35554397 + ... + 38866203.

Almost surely, 2123233332012100 is an apocalyptic number.

123233332012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123233332012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134720441506560).

123233332012100 is an abundant number, since it is smaller than the sum of its proper divisors (146207551001020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123233332012100 is a wasteful number, since it uses less digits than its factorization.

123233332012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314637 (or 3314630 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 123233332012100 its reverse (1210233332321), we get a palindrome (124443565344421).

The spelling of 123233332012100 in words is "one hundred twenty-three trillion, two hundred thirty-three billion, three hundred thirty-two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2677 2780 3475 5354 6950 10708 13385 13900 26770 53540 66925 133850 267700 372103 744206 1488412 1860515 3311807 3721030 6623614 7442060 9302575 13247228 16559035 18605150 33118070 37210300 66236140 82795175 165590350 331180700 460341173 920682346 1841364692 2301705865 4603411730 8865707339 9206823460 11508529325 17731414678 23017058650 35462829356 44328536695 46034117300 88657073390 177314146780 221642683475 443285366950 886570733900 1232333320121 2464666640242 4929333280484 6161666600605 12323333201210 24646666402420 30808333003025 61616666006050 123233332012100