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201331320003 = 321143537431201
BaseRepresentation
bin1011101110000001001…
…0000010010011000011
3201020200010101202012200
42323200102002103003
511244311304220003
6232253524524243
720355114661302
oct2734022022303
9636603352180
10201331320003
1178425310670
1233029550683
1315ca70a1ba8
149a5cc36439
15538529e6a3
hex2ee04824c3

201331320003 has 96 divisors (see below), whose sum is σ = 331473212928. Its totient is φ = 116678016000.

The previous prime is 201331319971. The next prime is 201331320011. The reversal of 201331320003 is 300023133102.

It is not a de Polignac number, because 201331320003 - 25 = 201331319971 is a prime.

It is a super-3 number, since 3×2013313200033 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (201331320083) 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, 167635803 + ... + 167637003.

It is an arithmetic number, because the mean of its divisors is an integer number (3452845968).

Almost surely, 2201331320003 is an apocalyptic number.

201331320003 is a deficient number, since it is larger than the sum of its proper divisors (130141892925).

201331320003 is a wasteful number, since it uses less digits than its factorization.

201331320003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 201331320003 its reverse (300023133102), we get a palindrome (501354453105).

The spelling of 201331320003 in words is "two hundred one billion, three hundred thirty-one million, three hundred twenty thousand, three".

Divisors: 1 3 9 11 33 43 53 99 129 159 387 473 477 583 743 1201 1419 1749 2229 2279 3603 4257 5247 6687 6837 8173 10809 13211 20511 24519 25069 31949 39379 39633 51643 63653 73557 75207 95847 118137 118899 154929 190959 225621 287541 351439 354411 433169 464787 568073 572877 700183 892343 1054317 1299507 1693297 1704219 2100549 2677029 2737079 3162951 3898521 5079891 5112657 6301647 8031087 8211237 9815773 15239673 18626267 24633711 29447319 30107869 38370749 47294179 55878801 88341957 90323607 115112247 141882537 167636403 270970821 345336741 422078239 425647611 520235969 1266234717 1560707907 2033649697 3798704151 4682123721 6100949091 18302847273 22370146667 67110440001 201331320003