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1210220010 = 23251921932
BaseRepresentation
bin100100000100010…
…0111110111101010
310010100020112202100
41020020213313222
54434304020020
6320031114230
741663462136
oct11010476752
93110215670
101210220010
1157115722a
12299372976
1316396221c
14b6a303c6
15713a8a90
hex48227dea

1210220010 has 108 divisors (see below), whose sum is σ = 3338193222. Its totient is φ = 304155648.

The previous prime is 1210219973. The next prime is 1210220017. The reversal of 1210220010 is 100220121.

It can be written as a sum of positive squares in 3 ways, for example, as 666724041 + 543495969 = 25821^2 + 23313^2 .

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 = 1210219974 and 1210220001.

It is not an unprimeable number, because it can be changed into a prime (1210220017) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6270474 + ... + 6270666.

Almost surely, 21210220010 is an apocalyptic number.

1210220010 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 1210220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669096611).

1210220010 is an abundant number, since it is smaller than the sum of its proper divisors (2127973212).

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

1210220010 is a wasteful number, since it uses less digits than its factorization.

1210220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 222 counting only the distinct ones).

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

The square root of 1210220010 is about 34788.2165395123. The cubic root of 1210220010 is about 1065.6668177419. Note that the first 3 decimals are identical.

Adding to 1210220010 its reverse (100220121), we get a palindrome (1310440131).

The spelling of 1210220010 in words is "one billion, two hundred ten million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 193 285 342 361 386 570 579 722 855 965 1083 1158 1710 1737 1805 1930 2166 2895 3249 3474 3610 3667 5415 5790 6498 7334 8685 10830 11001 16245 17370 18335 22002 32490 33003 36670 37249 55005 66006 69673 74498 110010 111747 139346 165015 186245 209019 223494 330030 335241 348365 372490 418038 558735 627057 670482 696730 707731 1045095 1117470 1254114 1415462 1676205 2090190 2123193 3135285 3352410 3538655 4246386 6270570 6369579 7077310 10615965 12739158 13446889 21231930 26893778 31847895 40340667 63695790 67234445 80681334 121022001 134468890 201703335 242044002 403406670 605110005 1210220010