Search a number
-
+
1021200210 = 23551133719
BaseRepresentation
bin111100110111100…
…100011101010010
32122011120100100000
4330313210131102
54042411401320
6245155510430
734210026042
oct7467443522
92564510300
101021200210
11484493918
12245bb8416
131337509a4
14998a9722
155e9bcc90
hex3cde4752

1021200210 has 96 divisors (see below), whose sum is σ = 2778572160. Its totient is φ = 269837568.

The previous prime is 1021200209. The next prime is 1021200241. The reversal of 1021200210 is 120021201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1021200192 and 1021200201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272731 + ... + 276449.

It is an arithmetic number, because the mean of its divisors is an integer number (28943460).

Almost surely, 21021200210 is an apocalyptic number.

1021200210 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 1021200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

1021200210 is an abundant number, since it is smaller than the sum of its proper divisors (1757371950).

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

1021200210 is a wasteful number, since it uses less digits than its factorization.

1021200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1021200210 is about 31956.2233375598. The cubic root of 1021200210 is about 1007.0173778873.

Adding to 1021200210 its reverse (120021201), we get a palindrome (1141221411).

The spelling of 1021200210 in words is "one billion, twenty-one million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 113 135 162 226 243 270 339 405 486 565 678 810 1017 1130 1215 1695 2034 2430 3051 3390 3719 5085 6102 7438 9153 10170 11157 15255 18306 18595 22314 27459 30510 33471 37190 45765 54918 55785 66942 91530 100413 111570 137295 167355 200826 274590 301239 334710 420247 502065 602478 840494 903717 1004130 1260741 1506195 1807434 2101235 2521482 3012390 3782223 4202470 4518585 6303705 7564446 9037170 11346669 12607410 18911115 22693338 34040007 37822230 56733345 68080014 102120021 113466690 170200035 204240042 340400070 510600105 1021200210