Search a number
-
+
1210021120 = 28571112277
BaseRepresentation
bin100100000011111…
…0111010100000000
310010022212102221001
41020013313110000
54434231133440
6320022541344
741662003240
oct11007672400
93108772831
101210021120
11571030860
12299297854
131638c2839
14b69bbb20
1571369b9a
hex481f7500

1210021120 has 144 divisors (see below), whose sum is σ = 3613857408. Its totient is φ = 377118720.

The previous prime is 1210021093. The next prime is 1210021133. The reversal of 1210021120 is 211200121.

It is a super-2 number, since 2×12100211202 = 2928302221692108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1210021097 and 1210021106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92422 + ... + 104698.

It is an arithmetic number, because the mean of its divisors is an integer number (25096232).

Almost surely, 21210021120 is an apocalyptic number.

1210021120 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 1210021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806928704).

1210021120 is an abundant number, since it is smaller than the sum of its proper divisors (2403836288).

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

1210021120 is a wasteful number, since it uses less digits than its factorization.

1210021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12316 (or 12302 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1210021120 is about 34785.3578391829. The cubic root of 1210021120 is about 1065.6084365981.

Adding to 1210021120 its reverse (211200121), we get a palindrome (1421221241).

The spelling of 1210021120 in words is "one billion, two hundred ten million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1760 1792 2240 2464 2816 3080 3520 4480 4928 6160 7040 8960 9856 12277 12320 14080 19712 24554 24640 49108 49280 61385 85939 98216 98560 122770 135047 171878 196432 245540 270094 343756 392864 429695 491080 540188 675235 687512 785728 859390 945329 982160 1080376 1350470 1375024 1571456 1718780 1890658 1964320 2160752 2700940 2750048 3142912 3437560 3781316 3928640 4321504 4726645 5401880 5500096 6875120 7562632 7857280 8643008 9453290 10803760 11000192 13750240 15125264 15714560 17286016 18906580 21607520 22000384 27500480 30250528 34572032 37813160 43215040 55000960 60501056 75626320 86430080 110001920 121002112 151252640 172860160 242004224 302505280 605010560 1210021120