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202112020212 = 22319271657121
BaseRepresentation
bin1011110000111011010…
…0001010111011110100
3201022200112102102120020
42330032310022323310
511302411134121322
6232503214005140
720413344553224
oct2741664127364
9638615372506
10202112020212
1178795a6a253
1233206aa67b0
131609ca5828b
149ad47ba084
1553cdab305c
hex2f0ed0aef4

202112020212 has 72 divisors (see below), whose sum is σ = 504732779712. Its totient is φ = 62925811200.

The previous prime is 202112020181. The next prime is 202112020213. The reversal of 202112020212 is 212020211202.

It is a junction number, because it is equal to n+sod(n) for n = 202112020191 and 202112020200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112020213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20989 + ... + 636132.

It is an arithmetic number, because the mean of its divisors is an integer number (7010177496).

Almost surely, 2202112020212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202112020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252366389856).

202112020212 is an abundant number, since it is smaller than the sum of its proper divisors (302620759500).

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

202112020212 is a wasteful number, since it uses less digits than its factorization.

202112020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657237 (or 657216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202112020212 its reverse (212020211202), we get a palindrome (414132231414).

The spelling of 202112020212 in words is "two hundred two billion, one hundred twelve million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 114 142 213 228 284 361 426 722 852 1083 1349 1444 2166 2698 4047 4332 5396 8094 16188 25631 51262 76893 102524 153786 307572 657121 1314242 1971363 2628484 3942726 7885452 12485299 24970598 37455897 46655591 49941196 74911794 93311182 139966773 149823588 186622364 237220681 279933546 474441362 559867092 711662043 886456229 948882724 1423324086 1772912458 2659368687 2846648172 3545824916 5318737374 10637474748 16842668351 33685336702 50528005053 67370673404 101056010106 202112020212