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20030100332013 = 32294350913812539
BaseRepresentation
bin1001000110111100111110…
…00000111101110111101101
32121220212012010112210200100
410203132133000331313231
510111133121141111023
6110333411232421313
74135061362434612
oct443363700756755
977825163483610
1020030100332013
1164227994a9a92
1222b5b740a7839
13b23aa43a7795
144d3667b42509
1524b0676ccc43
hex12379f03dded

20030100332013 has 96 divisors (see below), whose sum is σ = 30720566448000. Its totient is φ = 12554314053120.

The previous prime is 20030100331981. The next prime is 20030100332089. The reversal of 20030100332013 is 31023300103002.

20030100332013 is a `hidden beast` number, since 20 + 0 + 301 + 0 + 0 + 332 + 0 + 13 = 666.

It is not a de Polignac number, because 20030100332013 - 25 = 20030100331981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20030100332113) 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, 7888970898 + ... + 7888973436.

It is an arithmetic number, because the mean of its divisors is an integer number (320005900500).

Almost surely, 220030100332013 is an apocalyptic number.

It is an amenable number.

20030100332013 is a deficient number, since it is larger than the sum of its proper divisors (10690466115987).

20030100332013 is a wasteful number, since it uses less digits than its factorization.

20030100332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4504 counting only the distinct ones).

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

Adding to 20030100332013 its reverse (31023300103002), we get a palindrome (51053400435015).

The spelling of 20030100332013 in words is "twenty trillion, thirty billion, one hundred million, three hundred thirty-two thousand, thirteen".

Divisors: 1 3 9 29 43 87 129 261 387 509 1247 1381 1527 2539 3741 4143 4581 7617 11223 12429 14761 21887 22851 40049 44283 59383 65661 73631 109177 120147 132849 178149 196983 220893 327531 360441 534447 634723 662679 702929 982593 1292351 1722107 1904169 2108787 3166133 3506359 3877053 5166321 5712507 6326361 9498399 10519077 11631159 15498963 20384941 28495197 30225947 31557231 37478179 55571093 61154823 90677841 101684411 112434537 150773437 166713279 183464469 272033523 305053233 337303611 452320311 500139837 876552463 915159699 1356960933 1611561697 1784736731 2629657389 4372429673 4834685091 5354210193 7888972167 13117289019 14504055273 16062630579 39351867057 51757365199 76743679433 155272095597 230231038299 465816286791 690693114897 2225566703557 6676700110671 20030100332013