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210210201201 = 3711131719732087
BaseRepresentation
bin1100001111000110000…
…0010001111001110001
3202002120220120122110110
43003301200101321301
511421002302414301
6240322542051533
721121130141310
oct3036140217161
9662526518413
10210210201201
11811711a6510
12348a6b79ba9
1316a90725c50
14a262120277
155704a040d6
hex30f1811e71

210210201201 has 128 divisors (see below), whose sum is σ = 398849826816. Its totient is φ = 94777159680.

The previous prime is 210210201169. The next prime is 210210201263. The reversal of 210210201201 is 102102012012.

It is not a de Polignac number, because 210210201201 - 25 = 210210201169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (210210201281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100722580 + ... + 100724666.

It is an arithmetic number, because the mean of its divisors is an integer number (3116014272).

Almost surely, 2210210201201 is an apocalyptic number.

210210201201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210210201201 is a deficient number, since it is larger than the sum of its proper divisors (188639625615).

210210201201 is a wasteful number, since it uses less digits than its factorization.

210210201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210210201201 its reverse (102102012012), we get a palindrome (312312213213).

It can be divided in two parts, 2 and 10210201201, that multiplied together give a palindrome (20420402402).

The spelling of 210210201201 in words is "two hundred ten billion, two hundred ten million, two hundred one thousand, two hundred one".

Divisors: 1 3 7 11 13 17 21 33 39 51 77 91 119 143 187 221 231 273 357 429 561 663 1001 1309 1547 1973 2087 2431 3003 3927 4641 5919 6261 7293 13811 14609 17017 21703 22957 25649 27131 33541 35479 41433 43827 51051 65109 68871 76947 81393 100623 106437 151921 160699 179543 189917 234787 248353 282139 298441 368951 390269 436033 455763 461227 482097 538629 569751 704361 745059 846417 895323 1106853 1170807 1308099 1383681 1974973 2089087 2582657 2731883 3052231 3228589 4117651 4796363 5073497 5924919 6267261 7747971 8195649 9156693 9685767 12352953 14389089 15220491 28823557 33574541 35514479 45294161 53529463 70000067 86470671 100723623 106543437 135882483 160588389 210000201 317059127 374706241 490000469 588824093 770000737 910000871 951177381 1124118723 1470001407 1766472279 2310002211 2730002613 4121768651 5390005159 6370006097 10010009581 12365305953 16170015477 19110018291 30030028743 70070067067 210210201201