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202110200212221 = 34723103311500151
BaseRepresentation
bin101101111101000101110010…
…101100000110101011111101
3222111121112202100121201110000
4231331011302230012223331
5202442333142223242341
61553504051051304513
760366660113213250
oct5575056254065375
9874545670551400
10202110200212221
1159442500021694
121a80238914b139
1388a0baa64cc02
1437ca2860d3097
15185753ba118b6
hexb7d172b06afd

202110200212221 has 80 divisors (see below), whose sum is σ = 360086021019648. Its totient is φ = 110459404836000.

The previous prime is 202110200212189. The next prime is 202110200212229. The reversal of 202110200212221 is 122212002011202.

It is a happy number.

202110200212221 is a `hidden beast` number, since 2 + 0 + 21 + 10 + 200 + 212 + 221 = 666.

It is not a de Polignac number, because 202110200212221 - 25 = 202110200212189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202110200212194 and 202110200212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202110200212229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133976496 + ... + 135476646.

Almost surely, 2202110200212221 is an apocalyptic number.

202110200212221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202110200212221 is a deficient number, since it is larger than the sum of its proper divisors (157975820807427).

202110200212221 is a wasteful number, since it uses less digits than its factorization.

202110200212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510524 (or 1510515 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202110200212221 its reverse (122212002011202), we get a palindrome (324322202223423).

The spelling of 202110200212221 in words is "two hundred two trillion, one hundred ten billion, two hundred million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 483 567 621 1449 1863 4347 10331 13041 30993 72317 92979 216951 237613 278937 650853 712839 836811 1500151 1663291 1952559 2138517 4500453 4989873 5857677 6415551 10501057 13501359 14969619 19246653 31503171 34503473 40504077 44908857 94509513 103510419 121512231 134726571 241524311 283528539 310531257 724572933 850585617 931593771 2173718799 2794781313 6521156397 15498059981 19563469191 46494179943 108486419867 139482539829 325459259601 356455379563 418447619487 976377778803 1069366138689 1255342858461 2495187656941 2929133336409 3208098416067 7485562970823 8787400009227 9624295248201 22456688912469 28872885744603 67370066737407 202110200212221