Search a number
-
+
1211220210210 = 2352316710619907
BaseRepresentation
bin10001101000000010010…
…110011011001000100010
311021210101000111211211120
4101220002112123020202
5124321034333211320
62324232112353110
7153336110626113
oct21500226331042
94253330454746
101211220210210
1142774826109a
121768ab245796
138a2aa02464a
14428a275c20a
152178ec77440
hex11a0259b222

1211220210210 has 128 divisors (see below), whose sum is σ = 3054664617984. Its totient is φ = 306778517760.

The previous prime is 1211220210191. The next prime is 1211220210217. The reversal of 1211220210210 is 120120221121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1211220210210.

It is not an unprimeable number, because it can be changed into a prime (1211220210217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122254077 + ... + 122263983.

It is an arithmetic number, because the mean of its divisors is an integer number (23864567328).

Almost surely, 21211220210210 is an apocalyptic number.

1211220210210 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 1211220210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527332308992).

1211220210210 is an abundant number, since it is smaller than the sum of its proper divisors (1843444407774).

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

1211220210210 is a wasteful number, since it uses less digits than its factorization.

1211220210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1211220210210 its reverse (120120221121), we get a palindrome (1331340431331).

The spelling of 1211220210210 in words is "one trillion, two hundred eleven billion, two hundred twenty million, two hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 167 230 334 345 501 690 835 1002 1061 1670 2122 2505 3183 3841 5010 5305 6366 7682 9907 10610 11523 15915 19205 19814 23046 24403 29721 31830 38410 48806 49535 57615 59442 73209 99070 115230 122015 146418 148605 177187 227861 244030 297210 354374 366045 455722 531561 683583 732090 885935 1063122 1139305 1367166 1654469 1771870 2278610 2657805 3308938 3417915 4075301 4963407 5315610 6835830 8150602 8272345 9926814 10511327 12225903 16544690 20376505 21022654 24451806 24817035 31533981 38052787 40753010 49634070 52556635 61129515 63067962 76105574 105113270 114158361 122259030 157669905 190263935 228316722 241760521 315339810 380527870 483521042 570791805 725281563 1141583610 1208802605 1450563126 1755391609 2417605210 3510783218 3626407815 5266174827 7252815630 8776958045 10532349654 17553916090 26330874135 40374007007 52661748270 80748014014 121122021021 201870035035 242244042042 403740070070 605610105105 1211220210210