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10315353321 = 3471337109347
BaseRepresentation
bin10011001101101011…
…11100110011101001
3222121220011020120000
421212311330303221
5132111212301241
64423325453213
7513424025250
oct114665746351
928556136500
1010315353321
114413825699
121bba711209
13c85132680
146dbdb1797
15405900eb6
hex266d7cce9

10315353321 has 160 divisors (see below), whose sum is σ = 19713281280. Its totient is φ = 5230324224.

The previous prime is 10315353281. The next prime is 10315353343. The reversal of 10315353321 is 12335351301.

10315353321 is a `hidden beast` number, since 10 + 315 + 3 + 5 + 332 + 1 = 666.

It is not a de Polignac number, because 10315353321 - 213 = 10315345129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10315353121) 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, 29727070 + ... + 29727416.

It is an arithmetic number, because the mean of its divisors is an integer number (123208008).

Almost surely, 210315353321 is an apocalyptic number.

It is an amenable number.

10315353321 is a deficient number, since it is larger than the sum of its proper divisors (9397927959).

10315353321 is a wasteful number, since it uses less digits than its factorization.

10315353321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The spelling of 10315353321 in words is "ten billion, three hundred fifteen million, three hundred fifty-three thousand, three hundred twenty-one".

Divisors: 1 3 7 9 13 21 27 37 39 63 81 91 109 111 117 189 259 273 327 333 347 351 481 567 763 777 819 981 999 1041 1053 1417 1443 2289 2331 2429 2457 2943 2997 3123 3367 4033 4251 4329 4511 6867 6993 7287 7371 8829 9369 9919 10101 12099 12753 12839 12987 13533 20601 20979 21861 28107 28231 29757 30303 31577 36297 37823 38259 38517 38961 40599 52429 61803 65583 84693 89271 89873 90909 94731 108891 113469 114777 115551 121797 157287 166907 196749 254079 264761 267813 269619 272727 284193 326673 340407 346653 365391 367003 471861 491699 500721 762237 794283 803439 808857 852579 1021221 1039959 1101009 1168349 1399451 1415583 1475097 1502163 2286711 2382849 2426571 2557737 3063663 3303027 3441893 3505047 4198353 4246749 4425291 4506489 7148547 7279713 9796157 9909081 10325679 10515141 12595059 13275873 13519467 18192863 21445641 29388471 29727243 30977037 31545423 37785177 39827619 54578589 88165413 92931111 94636269 113355531 127350041 163735767 264496239 278793333 382050123 491207301 793488717 1146150369 1473621903 3438451107 10315353321