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210002122200221 = 13533535038572003
BaseRepresentation
bin101111101111111011101101…
…111001010101010010011101
31000112120000011222011020210222
4233233323231321111102131
5210011133321240401341
62022345350524411125
762143103233250561
oct5757735571252235
91015500158136728
10210002122200221
1160a0544426884a
121b6779999a6aa5
139024165ca8c80
1439c022a93b6a1
15194298548244b
hexbefeede5549d

210002122200221 has 64 divisors (see below), whose sum is σ = 231921279862272. Its totient is φ = 188959533514752.

The previous prime is 210002122200193. The next prime is 210002122200253. The reversal of 210002122200221 is 122002221200012.

It is a happy number.

It is not a de Polignac number, because 210002122200221 - 214 = 210002122183837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 210002122200221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002122230221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104843794406 + ... + 104843796408.

It is an arithmetic number, because the mean of its divisors is an integer number (3623769997848).

Almost surely, 2210002122200221 is an apocalyptic number.

It is an amenable number.

210002122200221 is a deficient number, since it is larger than the sum of its proper divisors (21919157662051).

210002122200221 is a wasteful number, since it uses less digits than its factorization.

210002122200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 210002122200221 its reverse (122002221200012), we get a palindrome (332004343400233).

The spelling of 210002122200221 in words is "two hundred ten trillion, two billion, one hundred twenty-two million, two hundred thousand, two hundred twenty-one".

Divisors: 1 13 53 353 503 689 857 2003 4589 6539 11141 18709 26039 26659 45421 106159 177559 243217 302521 346567 431071 590473 707059 1007509 1380067 1716571 2308267 3932773 5603923 9191767 9410627 13097617 16033613 22315423 22846763 37474127 53397977 90978263 122338151 152168063 208436969 297007919 355650677 487163651 605949563 694173701 863435213 1182717419 1978184819 4623458801 7877344319 8064907339 11224657769 18849485881 32115326839 45762066289 104843795407 245043316453 304792630189 417499248907 594906861757 3962304192457 16154009400017 210002122200221