Search a number
-
+
210211301032020 = 223254128483916129
BaseRepresentation
bin101111110010111110100001…
…111011010000000001010100
31000120022000010000000220102200
4233302332201323100001110
5210023100221031011040
62023025423305004500
762164160001060261
oct5762764173200124
91016260100026380
10210211301032020
1160a86126265152
121b6b0437483730
13903aac0b30662
1439ca3d1aa6268
15194812965a630
hexbf2fa1ed0054

210211301032020 has 72 divisors (see below), whose sum is σ = 653193164693160. Its totient is φ = 54689118965760.

The previous prime is 210211301031959. The next prime is 210211301032079. The reversal of 210211301032020 is 20230103112012.

210211301032020 is a `hidden beast` number, since 2 + 1 + 0 + 21 + 1 + 301 + 0 + 320 + 20 = 666.

210211301032020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 344911893264 + 209866389138756 = 587292^2 + 14486766^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 210211301031984 and 210211301032002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14241950685 + ... + 14241965444.

It is an arithmetic number, because the mean of its divisors is an integer number (9072127287405).

Almost surely, 2210211301032020 is an apocalyptic number.

210211301032020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210211301032020 is an abundant number, since it is smaller than the sum of its proper divisors (442981863661140).

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

210211301032020 is a wasteful number, since it uses less digits than its factorization.

210211301032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28483916185 (or 28483916180 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 210211301032020 its reverse (20230103112012), we get a palindrome (230441404144032).

The spelling of 210211301032020 in words is "two hundred ten trillion, two hundred eleven billion, three hundred one million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 28483916129 56967832258 85451748387 113935664516 142419580645 170903496774 256355245161 284839161290 341806993548 427258741935 512710490322 569678322580 854517483870 1025420980644 1167840561289 1281776225805 1709034967740 2335681122578 2563552451610 3503521683867 4671362245156 5127104903220 5839202806445 7007043367734 10510565051601 11678405612890 14014086735468 17517608419335 21021130103202 23356811225780 35035216838670 42042260206404 52552825258005 70070433677340 105105650516010 210211301032020