Search a number
-
+
123001320450 = 23529767712487
BaseRepresentation
bin111001010001101110…
…0110011010000000010
3102202111011200111011010
41302203130303100002
54003401314223300
6132301145101350
711613041654541
oct1624334632002
9382434614133
10123001320450
114818a047648
121ba08a87856
13b7a2c41928
145d4bbb4158
1532ed70aa50
hex1ca3733402

123001320450 has 96 divisors (see below), whose sum is σ = 308667993984. Its totient is φ = 32411658240.

The previous prime is 123001320419. The next prime is 123001320467. The reversal of 123001320450 is 54023100321.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9844107 + ... + 9856593.

It is an arithmetic number, because the mean of its divisors is an integer number (3215291604).

Almost surely, 2123001320450 is an apocalyptic number.

123001320450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123001320450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154333996992).

123001320450 is an abundant number, since it is smaller than the sum of its proper divisors (185666673534).

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

123001320450 is a wasteful number, since it uses less digits than its factorization.

123001320450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13276 (or 13271 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 123001320450 its reverse (54023100321), we get a palindrome (177024420771).

It can be divided in two parts, 123001320 and 450, that added together give a triangular number (123001770 = T15684).

The spelling of 123001320450 in words is "one hundred twenty-three billion, one million, three hundred twenty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 97 150 194 291 485 582 677 970 1354 1455 2031 2425 2910 3385 4062 4850 6770 7275 10155 12487 14550 16925 20310 24974 33850 37461 50775 62435 65669 74922 101550 124870 131338 187305 197007 312175 328345 374610 394014 624350 656690 936525 985035 1211239 1641725 1873050 1970070 2422478 3283450 3633717 4925175 6056195 7267434 8453699 9850350 12112390 16907398 18168585 25361097 30280975 36337170 42268495 50722194 60561950 84536990 90842925 126805485 181685850 211342475 253610970 422684950 634027425 820008803 1268054850 1640017606 2460026409 4100044015 4920052818 8200088030 12300132045 20500220075 24600264090 41000440150 61500660225 123001320450