Search a number
-
+
12210203222010 = 23251131368787719
BaseRepresentation
bin1011000110101110100011…
…0100110101111111111010
31121020021200001112011121100
42301223220310311333322
53100022444011101020
641545142342352230
72400105134635323
oct261535064657772
947207601464540
1012210203222010
113988355443792
12145250442b676
136a7556840c21
14302d96c0344a
15162936ee6a90
hexb1ae8d35ffa

12210203222010 has 96 divisors (see below), whose sum is σ = 32030176239360. Its totient is φ = 3226966977024.

The previous prime is 12210203221969. The next prime is 12210203222051. The reversal of 12210203222010 is 1022230201221.

12210203222010 is a `hidden beast` number, since 122 + 1 + 0 + 20 + 322 + 201 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12210203221969) and next prime (12210203222051).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 139152931 + ... + 139240649.

It is an arithmetic number, because the mean of its divisors is an integer number (333647669160).

Almost surely, 212210203222010 is an apocalyptic number.

12210203222010 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 12210203222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015088119680).

12210203222010 is an abundant number, since it is smaller than the sum of its proper divisors (19819973017350).

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

12210203222010 is a wasteful number, since it uses less digits than its factorization.

12210203222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101532 (or 101529 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12210203222010 its reverse (1022230201221), we get a palindrome (13232433423231).

The spelling of 12210203222010 in words is "twelve trillion, two hundred ten billion, two hundred three million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 13687 27374 41061 68435 82122 87719 123183 136870 175438 205305 246366 263157 410610 438595 526314 615915 789471 877190 1231830 1315785 1546631 1578942 2631570 3093262 3947355 4639893 7733155 7894710 9279786 9912247 13919679 15466310 19824494 23199465 27839358 29736741 46398930 49561235 59473482 69598395 89210223 99122470 139196790 148683705 178420446 297367410 446051115 892102230 1200609953 2401219906 3601829859 6003049765 7203659718 10805489577 12006099530 18009149295 21610979154 36018298590 54027447885 108054895770 135668924689 271337849378 407006774067 678344623445 814013548134 1221020322201 1356689246890 2035033870335 2442040644402 4070067740670 6105101611005 12210203222010