Search a number
-
+
21103233230112 = 2531190722033211
BaseRepresentation
bin1001100110001011110101…
…01110000110010100100000
32202201110010121102101021220
410303011322232012110200
510231223410201330422
6112514405211015040
74305441535530165
oct463057256062440
982643117371256
1021103233230112
1167a6915aa8730
122449b4613a480
13ba1045b93b07
1452d58acc006c
15268e245eae5c
hex13317ab86520

21103233230112 has 96 divisors (see below), whose sum is σ = 60498617243904. Its totient is φ = 6387868243200.

The previous prime is 21103233230111. The next prime is 21103233230129.

21103233230112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21103233230111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10058814 + ... + 11974397.

It is an arithmetic number, because the mean of its divisors is an integer number (630193929624).

Almost surely, 221103233230112 is an apocalyptic number.

21103233230112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21103233230112 is an abundant number, since it is smaller than the sum of its proper divisors (39395384013792).

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

21103233230112 is a wasteful number, since it uses less digits than its factorization.

21103233230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22034142 (or 22034134 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2110323 and 3230112, that added together give a palindrome (5340435).

The spelling of 21103233230112 in words is "twenty-one trillion, one hundred three billion, two hundred thirty-three million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 907 1056 1814 2721 3628 5442 7256 9977 10884 14512 19954 21768 29024 29931 39908 43536 59862 79816 87072 119724 159632 239448 319264 478896 957792 22033211 44066422 66099633 88132844 132199266 176265688 242365321 264398532 352531376 484730642 528797064 705062752 727095963 969461284 1057594128 1454191926 1938922568 2115188256 2908383852 3877845136 5816767704 7755690272 11633535408 19984122377 23267070816 39968244754 59952367131 79936489508 119904734262 159872979016 219825346147 239809468524 319745958032 439650692294 479618937048 639491916064 659476038441 879301384588 959237874096 1318952076882 1758602769176 1918475748192 2637904153764 3517205538352 5275808307528 7034411076704 10551616615056 21103233230112