Search a number
-
+
21121021001120 = 255612203198227
BaseRepresentation
bin1001100110101100111101…
…11101000011110110100000
32202210011001021020202212112
410303112132331003312200
510232021322334013440
6112530510232414452
74306641406222655
oct463263675036640
982704037222775
1021121021001120
116803413805327
12245148b247428
13ba291c147ac1
14530397463c2c
15269616031965
hex13359ef43da0

21121021001120 has 96 divisors (see below), whose sum is σ = 50719237261056. Its totient is φ = 8309448115200.

The previous prime is 21121021001089. The next prime is 21121021001123. The reversal of 21121021001120 is 2110012012112.

It is a junction number, because it is equal to n+sod(n) for n = 21121021001095 and 21121021001104.

It is not an unprimeable number, because it can be changed into a prime (21121021001123) 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, 214973447 + ... + 215071673.

It is an arithmetic number, because the mean of its divisors is an integer number (528325388136).

Almost surely, 221121021001120 is an apocalyptic number.

21121021001120 is a gapful number since it is divisible by the number (20) 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 21121021001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25359618630528).

21121021001120 is an abundant number, since it is smaller than the sum of its proper divisors (29598216259936).

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

21121021001120 is a wasteful number, since it uses less digits than its factorization.

21121021001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120334 (or 120326 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21121021001120 its reverse (2110012012112), we get a palindrome (23231033013232).

The spelling of 21121021001120 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 22031 44062 88124 98227 110155 176248 196454 220310 352496 392908 440620 491135 704992 785816 881240 982270 1343891 1571632 1762480 1964540 2687782 3143264 3524960 3929080 5375564 5991847 6719455 7858160 10751128 11983694 13438910 15716320 21502256 23967388 26877820 29959235 43004512 47934776 53755640 59918470 95869552 107511280 119836940 191739104 215022560 239673880 479347760 958695520 2164039037 4328078074 8656156148 10820195185 17312312296 21640390370 34624624592 43280780740 69249249184 86561561480 132006381257 173123122960 264012762514 346246245920 528025525028 660031906285 1056051050056 1320063812570 2112102100112 2640127625140 4224204200224 5280255250280 10560510500560 21121021001120