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210211211221020 = 223253013338756183
BaseRepresentation
bin101111110010111110011100…
…100100101001100000011100
31000120021222212202001000220100
4233302332130210221200130
5210023100030033033040
62023025410340021100
762164154530512522
oct5762763444514034
91016258782030810
10210211211221020
1160a8608a5a2889
121b6b0411391790
13903aaa8346759
1439ca3c3ba8312
151948121819b30
hexbf2f9c92981c

210211211221020 has 72 divisors (see below), whose sum is σ = 637661851366176. Its totient is φ = 56054461249152.

The previous prime is 210211211221007. The next prime is 210211211221043. The reversal of 210211211221020 is 20122112112012.

210211211221020 is a `hidden beast` number, since 2 + 1 + 0 + 211 + 211 + 221 + 0 + 20 = 666.

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 = 210211211220984 and 210211211221002.

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, 13954152 + ... + 24802031.

It is an arithmetic number, because the mean of its divisors is an integer number (8856414602308).

Almost surely, 2210211211221020 is an apocalyptic number.

210211211221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210211211221020 is an abundant number, since it is smaller than the sum of its proper divisors (427450640145156).

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

210211211221020 is a wasteful number, since it uses less digits than its factorization.

210211211221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38786331 (or 38786326 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210211211221020 its reverse (20122112112012), we get a palindrome (230333323333032).

The spelling of 210211211221020 in words is "two hundred ten trillion, two hundred eleven billion, two hundred eleven million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 30133 60266 90399 120532 150665 180798 271197 301330 361596 451995 542394 602660 903990 1084788 1355985 1807980 2711970 5423940 38756183 77512366 116268549 155024732 193780915 232537098 348805647 387561830 465074196 581342745 697611294 775123660 1162685490 1395222588 1744028235 2325370980 3488056470 6976112940 1167840062339 2335680124678 3503520187017 4671360249356 5839200311695 7007040374034 10510560561051 11678400623390 14014080748068 17517600935085 21021121122102 23356801246780 35035201870170 42042242244204 52552802805255 70070403740340 105105605610510 210211211221020