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210203112103101 = 341329293112920809
BaseRepresentation
bin101111110010110110111001…
…110100111101110010111101
31000120021012222022010012210000
4233302312321310331302331
5210022431433144244401
62023021550535504513
762163450034243035
oct5762667164756275
91016235868105700
10210203112103101
1160a827038866a7
121b6aa930b28139
13903a0b740b4a0
1439c9c5629c8c5
151947cea791186
hexbf2db9d3dcbd

210203112103101 has 160 divisors (see below), whose sum is σ = 351343978524000. Its totient is φ = 124352730980352.

The previous prime is 210203112103087. The next prime is 210203112103109. The reversal of 210203112103101 is 101301211302012.

210203112103101 is a `hidden beast` number, since 2 + 1 + 0 + 20 + 311 + 21 + 0 + 310 + 1 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 82074522131001 + 128128589972100 = 9059499^2 + 11319390^2 .

It is not a de Polignac number, because 210203112103101 - 211 = 210203112101053 is a prime.

It is a super-2 number, since 2×2102031121031012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210203112103109) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10101537585 + ... + 10101558393.

It is an arithmetic number, because the mean of its divisors is an integer number (2195899865775).

Almost surely, 2210203112103101 is an apocalyptic number.

It is an amenable number.

210203112103101 is a deficient number, since it is larger than the sum of its proper divisors (141140866420899).

210203112103101 is a wasteful number, since it uses less digits than its factorization.

210203112103101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22285 (or 22276 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 210203112103101 its reverse (101301211302012), we get a palindrome (311504323405113).

The spelling of 210203112103101 in words is "two hundred ten trillion, two hundred three billion, one hundred twelve million, one hundred three thousand, one hundred one".

Divisors: 1 3 9 13 27 29 39 81 87 117 261 293 351 377 783 879 1053 1129 1131 2349 2637 3387 3393 3809 7911 8497 10161 10179 11427 14677 20809 23733 25491 30483 30537 32741 34281 44031 62427 76473 91449 98223 102843 110461 132093 187281 229419 270517 294669 308529 330797 331383 396279 425633 561843 603461 688257 811551 884007 992391 994149 1188837 1276899 1685529 1810383 2434653 2652021 2977173 2982447 3830697 4300361 5431149 6097037 7303959 7844993 8931519 8947341 9593113 11492091 12901083 16293447 18291111 21911877 23493361 23534979 26794557 28779339 34476273 38703249 48880341 54873333 70480083 70604937 79261481 86338017 116109747 124710469 164619999 176814073 211440249 211814811 237784443 259014051 305413693 348329241 374131407 493859997 530442219 634320747 635444433 681307469 713353329 777042153 916241079 1122394221 1591326657 1902962241 2043922407 2140059987 2298582949 2748723237 3367182663 4773979971 6131767221 6420179961 6883554773 6895748847 8246169711 8856997097 10101547989 14321939913 18395301663 20650664319 20687246541 24738509133 26570991291 55185904989 61951992957 62061739623 79712973873 89486212049 185855978871 186185218869 199623088417 239138921619 268458636147 557567936613 598869265251 717416764857 805375908441 1796607795753 2416127725323 2595100149421 5389823387259 7248383175969 7785300448263 16169470161777 23355901344789 70067704034367 210203112103101