Search a number
-
+
210221120010 = 235117313763697
BaseRepresentation
bin1100001111001000100…
…1111011101000001010
3202002121200010101020210
43003302021323220022
511421013101320020
6240324012101550
721121322015466
oct3036211735012
9662550111223
10210221120010
1181177383a20
12348aa7648b6
1316a92a79a95
14a2637634a6
15570595e3e0
hex30f227ba0a

210221120010 has 128 divisors (see below), whose sum is σ = 562018155264. Its totient is φ = 49896898560.

The previous prime is 210221119907. The next prime is 210221120023. The reversal of 210221120010 is 10021122012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3268482 + ... + 3332178.

It is an arithmetic number, because the mean of its divisors is an integer number (4390766838).

Almost surely, 2210221120010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210221120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281009077632).

210221120010 is an abundant number, since it is smaller than the sum of its proper divisors (351797035254).

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

210221120010 is a wasteful number, since it uses less digits than its factorization.

210221120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63928.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210221120010 its reverse (10021122012), we get a palindrome (220242242022).

It can be divided in two parts, 2102 and 21120010, that added together give a palindrome (21122112).

The spelling of 210221120010 in words is "two hundred ten billion, two hundred twenty-one million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 137 146 165 219 274 330 365 411 438 685 730 803 822 1095 1370 1507 1606 2055 2190 2409 3014 4015 4110 4521 4818 7535 8030 9042 10001 12045 15070 20002 22605 24090 30003 45210 50005 60006 63697 100010 110011 127394 150015 191091 220022 300030 318485 330033 382182 550055 636970 660066 700667 955455 1100110 1401334 1650165 1910910 2102001 3300330 3503335 4204002 4649881 7006670 8726489 9299762 10510005 13949643 17452978 21020010 23249405 26179467 27899286 43632445 46498810 51148691 52358934 69748215 87264890 95991379 102297382 130897335 139496430 153446073 191982758 255743455 261794670 287974137 306892146 479956895 511486910 575948274 637033697 767230365 959913790 1274067394 1439870685 1534460730 1911101091 2879741370 3185168485 3822202182 6370336970 7007370667 9555505455 14014741334 19111010910 21022112001 35036853335 42044224002 70073706670 105110560005 210221120010