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10211223321 = 32132983101359
BaseRepresentation
bin10011000001010001…
…01110011100011001
3222100122012220001100
421200220232130121
5131403033121241
64405125542013
7511020652245
oct114050563431
928318186040
1010211223321
11436aa73242
121b8b874909
13c696a40a0
146cc227425
153eb6d29b6
hex260a2e719

10211223321 has 96 divisors (see below), whose sum is σ = 16841260800. Its totient is φ = 5918169600.

The previous prime is 10211223293. The next prime is 10211223329. The reversal of 10211223321 is 12332211201.

It is not a de Polignac number, because 10211223321 - 230 = 9137481497 is a prime.

It is a super-2 number, since 2×102112233212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10211223294 and 10211223303.

It is not an unprimeable number, because it can be changed into a prime (10211223329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28443340 + ... + 28443698.

It is an arithmetic number, because the mean of its divisors is an integer number (175429800).

Almost surely, 210211223321 is an apocalyptic number.

It is an amenable number.

10211223321 is a deficient number, since it is larger than the sum of its proper divisors (6630037479).

10211223321 is a wasteful number, since it uses less digits than its factorization.

10211223321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 588 counting only the distinct ones).

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

Adding to 10211223321 its reverse (12332211201), we get a palindrome (22543434522).

The spelling of 10211223321 in words is "ten billion, two hundred eleven million, two hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 13 29 39 83 87 101 117 249 261 303 359 377 747 909 1077 1079 1131 1313 2407 2929 3231 3237 3393 3939 4667 7221 8383 8787 9711 10411 11817 14001 21663 25149 26361 29797 31233 31291 36259 38077 42003 75447 89391 93699 93873 108777 108979 114231 135343 243107 268173 281619 326331 326937 342693 387361 406029 471367 729321 864113 980811 1051511 1162083 1218087 1414101 2187963 2592339 3009497 3154533 3160391 3486249 4242303 7777017 9028491 9463599 9481173 11233469 13669643 27085473 28443519 33700407 39123461 41008929 87275413 101101221 117370383 123026787 261826239 352111149 785478717 1134580369 3403741107 10211223321